Possible Answers :

Question Number : 22 Question Id : 640653609104 Question Type : SA Calculator : None

Response Time : N.A Think Time : N.A Minimum Instruction Time : 0

Correct Marks : 2

Question Label : Short Answer Question

Find out y.

Response Type : Numeric

Evaluation Required For SA : Yes

Show Word Count : Yes

Answers Type : Equal

Text Areas : PlainText

Possible Answers :

Sem2 Statistics2
Section Id : 64065341245

Section Number : 2

Section type : Online

Mandatory or Optional : Mandatory

Number of Questions : 12

Number of Questions to be attempted : 12

Section Marks : 40

Display Number Panel : Yes

Section Negative Marks : 0

Group All Questions : No

Enable Mark as Answered Mark for Review and

Yes
Clear Response :
Maximum Instruction Time : 0

Sub-Section Number : 1

Sub-Section Id : 64065387542

Question Shuffling Allowed : No

Is Section Default? : null

Question Number : 23 Question Id : 640653609106 Question Type : MCQ Is Question

Mandatory : No Calculator : None Response Time : N.A Think Time : N.A Minimum Instruction
Time : 0

Correct Marks : 0

Question Label : Multiple Choice Question

THIS IS QUESTION PAPER FOR THE SUBJECT "FOUNDATION LEVEL : SEMESTER 2: STATISTICS
FOR DATA SCIENCE 2 (COMPUTER BASED EXAM)"

ARE YOU SURE YOU HAVE TO WRITE EXAM FOR THIS SUBJECT?
CROSS CHECK YOUR HALL TICKET TO CONFIRM THE SUBJECTS TO BE WRITTEN.

(IF IT IS NOT THE CORRECT SUBJECT, PLS CHECK THE SECTION AT THE TOP FOR THE SUBJECTS
REGISTERED BY YOU)

Options :

6406532034551. YES

6406532034552. NO

Question Number : 24 Question Id : 640653609107 Question Type : MCQ Is Question

Mandatory : No Calculator : None Response Time : N.A Think Time : N.A Minimum Instruction
Time : 0

Correct Marks : 0

Question Label : Multiple Choice Question

Options :

6406532034553. Useful Data has been mentioned above.

6406532034554. This data attachment is just for a reference & not for an evaluation.

Sub-Section Number : 2

Sub-Section Id : 64065387543

Question Shuffling Allowed : Yes

Is Section Default? : null

Question Number : 25 Question Id : 640653609108 Question Type : SA Calculator : None

Response Time : N.A Think Time : N.A Minimum Instruction Time : 0

Correct Marks : 3

Question Label : Short Answer Question

Response Type : Numeric

Evaluation Required For SA : Yes

Show Word Count : Yes

Answers Type : Range

Text Areas : PlainText

Possible Answers :

0.23 to 0.27

Question Number : 26 Question Id : 640653609110 Question Type : SA Calculator : None

Response Time : N.A Think Time : N.A Minimum Instruction Time : 0

Correct Marks : 3

Question Label : Short Answer Question

Response Type : Numeric

Evaluation Required For SA : Yes

Show Word Count : Yes

Answers Type : Range

Text Areas : PlainText

Possible Answers :

0.64 to 0.70

Sub-Section Number : 3

Sub-Section Id : 64065387544

Question Shuffling Allowed : Yes

Is Section Default? : null

Question Number : 27 Question Id : 640653609109 Question Type : MCQ Is Question

Mandatory : No Calculator : None Response Time : N.A Think Time : N.A Minimum Instruction
Time : 0

Correct Marks : 3

Question Label : Multiple Choice Question

Options :

6406532034556.

6406532034557.

6406532034558.

6406532034559.
Question Number : 28 Question Id : 640653609112 Question Type : MCQ Is Question
Mandatory : No Calculator : None Response Time : N.A Think Time : N.A Minimum Instruction
Time : 0

Correct Marks : 3

Question Label : Multiple Choice Question

Options :

6406532034565.

6406532034566.

6406532034567.

6406532034568.

Sub-Section Number : 4

Sub-Section Id : 64065387545

Question Shuffling Allowed : Yes

Is Section Default? : null

Question Number : 29 Question Id : 640653609111 Question Type : MSQ Is Question

Mandatory : No Calculator : None Response Time : N.A Think Time : N.A Minimum Instruction
Time : 0

Correct Marks : 3 Max. Selectable Options : 0

Question Label : Multiple Select Question

Which of the following statement(s) is (are) correct?

Options :

6406532034561. Type II error is the probability of accepting the Null hypothesis when it is not
true.

6406532034562. The probability of accepting the null hypothesis when it is false is equal to the
power of the test.

6406532034563. The probability of rejecting the Null hypothesis when it is true is called the
level of significance.

6406532034564. If the P-value of a test is 0.04, then the corresponding test will reject the null
hypothesis at the significance level of 0.03.

Sub-Section Number : 5

Sub-Section Id : 64065387546

Question Shuffling Allowed : No

Is Section Default? : null

Question Id : 640653609113 Question Type : COMPREHENSION Sub Question Shuffling

Allowed : No Group Comprehension Questions : No Question Pattern Type : NonMatrix
Calculator : None Response Time : N.A Think Time : N.A Minimum Instruction Time : 0

Question Numbers : (30 to 31)

Question Label : Comprehension

An employee at a railway ticket counter serves customers in the queue individually. Suppose that
the service time Xi for the ith customer has mean E[Xi] = 2 and Var(Xi) = 1. Assume that service times
for different customers are independent. Let Y be the total time the employee spends to serve 100
customers.

Based on the above data, answer the given subquestions.

Sub questions

Question Number : 30 Question Id : 640653609114 Question Type : MSQ Is Question

Mandatory : No Calculator : None Response Time : N.A Think Time : N.A Minimum Instruction
Time : 0
Correct Marks : 2 Max. Selectable Options : 0

Question Label : Multiple Select Question

Which of the following option(s) is(are) true?

Options :

6406532034569. E[Y] = 100

6406532034570. E[Y] = 200

6406532034571. Var(Y)= 100

6406532034572. Var(Y) = 50

Question Number : 31 Question Id : 640653609115 Question Type : SA Calculator : None

Response Time : N.A Think Time : N.A Minimum Instruction Time : 0

Correct Marks : 3

Question Label : Short Answer Question

Using the Central Limit Theorem, find an approximate value for P(190 < Y < 210). Enter the answer
correct to two decimal places.

Response Type : Numeric

Evaluation Required For SA : Yes

Show Word Count : Yes

Answers Type : Range

Text Areas : PlainText

Possible Answers :

0.66 to 0.70

Question Id : 640653609116 Question Type : COMPREHENSION Sub Question Shuffling

Allowed : No Group Comprehension Questions : No Question Pattern Type : NonMatrix
Calculator : None Response Time : N.A Think Time : N.A Minimum Instruction Time : 0

Question Numbers : (32 to 34)

Question Label : Comprehension

Based on the above data, answer the given subquestions.

Sub questions

Question Number : 32 Question Id : 640653609117 Question Type : SA Calculator : None

Response Time : N.A Think Time : N.A Minimum Instruction Time : 0

Correct Marks : 1

Question Label : Short Answer Question

Find the value of k.

Enter the answer correct to one decimal place.

Response Type : Numeric

Evaluation Required For SA : Yes

Show Word Count : Yes

Answers Type : Equal

Text Areas : PlainText

Possible Answers :

1.5

Question Number : 33 Question Id : 640653609118 Question Type : SA Calculator : None

Response Time : N.A Think Time : N.A Minimum Instruction Time : 0

Correct Marks : 2

Question Label : Short Answer Question

Response Type : Numeric

Evaluation Required For SA : Yes

Show Word Count : Yes

Answers Type : Equal

Text Areas : PlainText

Possible Answers :

0.625

Question Number : 34 Question Id : 640653609119 Question Type : MCQ Is Question

Mandatory : No Calculator : None Response Time : N.A Think Time : N.A Minimum Instruction
Time : 0

Correct Marks : 2

Question Label : Multiple Choice Question

Find the expected value of X.

Options :

6406532034576.

6406532034577.

6406532034578.

6406532034579.

Question Id : 640653609120 Question Type : COMPREHENSION Sub Question Shuffling

Allowed : No Group Comprehension Questions : No Question Pattern Type : NonMatrix
Calculator : None Response Time : N.A Think Time : N.A Minimum Instruction Time : 0

Question Numbers : (35 to 36)

Question Label : Comprehension

Based on the above data, answer the given subquestions.

Sub questions

Question Number : 35 Question Id : 640653609121 Question Type : SA Calculator : None

Response Time : N.A Think Time : N.A Minimum Instruction Time : 0

Correct Marks : 2

Question Label : Short Answer Question

Find the method of moments estimate of p. Enter the answer correct to two decimal places.

Response Type : Numeric

Evaluation Required For SA : Yes

Show Word Count : Yes

Answers Type : Range

Text Areas : PlainText

Possible Answers :

0.34 to 0.40

Question Number : 36 Question Id : 640653609122 Question Type : SA Calculator : None

Response Time : N.A Think Time : N.A Minimum Instruction Time : 0

Correct Marks : 3

Question Label : Short Answer Question

Find the maximum likelihood estimate of p. Enter the answer correct to one decimal place.

Response Type : Numeric

Evaluation Required For SA : Yes

Show Word Count : Yes

Answers Type : Equal

Text Areas : PlainText

Possible Answers :

0.4

Question Id : 640653609123 Question Type : COMPREHENSION Sub Question Shuffling

Allowed : No Group Comprehension Questions : No Question Pattern Type : NonMatrix
Calculator : None Response Time : N.A Think Time : N.A Minimum Instruction Time : 0

Question Numbers : (37 to 38)

Question Label : Comprehension

The number of tosses required to get the first head on tossing a coin follows the Geometric(θ)
distribution. The number of tosses observed to get the first head in 5 different i.i.d. repetitions are
2, 4, 5, 1, 3. Assume prior distribution of θ to be Beta(3, 4).

Based on the above data, answer the given subquestions.

Sub questions

Question Number : 37 Question Id : 640653609124 Question Type : MCQ Is Question

Mandatory : No Calculator : None Response Time : N.A Think Time : N.A Minimum Instruction
Time : 0

Correct Marks : 3

Question Label : Multiple Choice Question

Find the posterior distribution of θ.

Options :

6406532034582. Gamma(8, 14)

6406532034583. Beta(7, 13)

6406532034584. Beta(8, 14)

6406532034585. Beta(8, 19)

Question Number : 38 Question Id : 640653609125 Question Type : SA Calculator : None

Response Time : N.A Think Time : N.A Minimum Instruction Time : 0

Correct Marks : 2

Question Label : Short Answer Question

Find the posterior mean. Enter the answer correct to two decimal places.

Response Type : Numeric

Evaluation Required For SA : Yes

Show Word Count : Yes

Answers Type : Range

Text Areas : PlainText

Possible Answers :

0.33 to 0.39

Question Id : 640653609126 Question Type : COMPREHENSION Sub Question Shuffling

Allowed : No Group Comprehension Questions : No Question Pattern Type : NonMatrix
Calculator : None Response Time : N.A Think Time : N.A Minimum Instruction Time : 0

Question Numbers : (39 to 40)

Question Label : Comprehension

A factory has a machine that dispenses 98.5 ml of liquid in a bottle. An employee believes that the
average amount of liquid in a bottle is less than 98.5 ml. He took a sample of 100 random bottles
from the factory and found out that the average amount of liquid in a bottle is 98.29 ml with a
standard deviation of 1.2 ml.

Based on the above data, answer the given subquestions.

Sub questions

Question Number : 39 Question Id : 640653609127 Question Type : MCQ Is Question

Mandatory : No Calculator : None Response Time : N.A Think Time : N.A Minimum Instruction
Time : 0
Correct Marks : 2

Question Label : Multiple Choice Question

Define null hypothesis and alternative hypothesis.

Options :

6406532034587.

6406532034588.

6406532034589.

6406532034590.

Question Number : 40 Question Id : 640653609128 Question Type : MSQ Is Question

Mandatory : No Calculator : None Response Time : N.A Think Time : N.A Minimum Instruction
Time : 0

Correct Marks : 3 Max. Selectable Options : 0

Question Label : Multiple Select Question

Choose the set of correct options.

Options :

6406532034591.

6406532034592.

6406532034593.

6406532034594.
 Sem2 Maths2
Section Id : 64065341246

Section Number : 3

Section type : Online

Mandatory or Optional : Mandatory

Number of Questions : 17

Number of Questions to be attempted : 17

Section Marks : 50

Display Number Panel : Yes

Section Negative Marks : 0

Group All Questions : No

Enable Mark as Answered Mark for Review and

Yes
Clear Response :

Maximum Instruction Time : 0

Sub-Section Number : 1

Sub-Section Id : 64065387547

Question Shuffling Allowed : No

Is Section Default? : null

Question Number : 41 Question Id : 640653609129 Question Type : MCQ Is Question

Mandatory : No Calculator : None Response Time : N.A Think Time : N.A Minimum Instruction
Time : 0

Correct Marks : 0

Question Label : Multiple Choice Question

THIS IS QUESTION PAPER FOR THE SUBJECT "FOUNDATION LEVEL : SEMESTER 2:

MATHEMATICS FOR DATA SCIENCE 2 (COMPUTER BASED EXAM)"

ARE YOU SURE YOU HAVE TO WRITE EXAM FOR THIS SUBJECT?
CROSS CHECK YOUR HALL TICKET TO CONFIRM THE SUBJECTS TO BE WRITTEN.
6406532041737.

6406532041738.

Sem2 Statistics2
Section Id : 64065341320

Section Number : 2

Section type : Online

Mandatory or Optional : Mandatory

Number of Questions : 12

Number of Questions to be attempted : 12

Section Marks : 40

Display Number Panel : Yes

Section Negative Marks : 0

Group All Questions : No

Enable Mark as Answered Mark for Review and

Yes
Clear Response :

Maximum Instruction Time : 0

Sub-Section Number : 1

Sub-Section Id : 64065388141

Question Shuffling Allowed : No

Is Section Default? : null

Question Number : 27 Question Id : 640653611383 Question Type : MCQ Is Question

Mandatory : No Calculator : None Response Time : N.A Think Time : N.A Minimum Instruction
Time : 0
Correct Marks : 0

Question Label : Multiple Choice Question

THIS IS QUESTION PAPER FOR THE SUBJECT "FOUNDATION LEVEL : SEMESTER 2: STATISTICS
FOR DATA SCIENCE 2 (COMPUTER BASED EXAM)"

ARE YOU SURE YOU HAVE TO WRITE EXAM FOR THIS SUBJECT?
CROSS CHECK YOUR HALL TICKET TO CONFIRM THE SUBJECTS TO BE WRITTEN.

(IF IT IS NOT THE CORRECT SUBJECT, PLS CHECK THE SECTION AT THE TOP FOR THE SUBJECTS
REGISTERED BY YOU)

Options :

6406532041739. YES

6406532041740. NO

Question Number : 28 Question Id : 640653611384 Question Type : MCQ Is Question

Mandatory : No Calculator : None Response Time : N.A Think Time : N.A Minimum Instruction
Time : 0

Correct Marks : 0

Question Label : Multiple Choice Question

Options :

6406532041741. Useful Data has been mentioned above.

6406532041742. This data attachment is just for a reference & not for an evaluation.

Sub-Section Number : 2

Sub-Section Id : 64065388142

Question Shuffling Allowed : Yes

Is Section Default? : null

Question Number : 29 Question Id : 640653611385 Question Type : SA Calculator : None

Response Time : N.A Think Time : N.A Minimum Instruction Time : 0

Correct Marks : 3

Question Label : Short Answer Question

Response Type : Numeric

Evaluation Required For SA : Yes

Show Word Count : Yes

Answers Type : Equal

Text Areas : PlainText

Possible Answers :

0.5

Question Number : 30 Question Id : 640653611387 Question Type : SA Calculator : None

Response Time : N.A Think Time : N.A Minimum Instruction Time : 0

Correct Marks : 3

Question Label : Short Answer Question

Response Type : Numeric

Evaluation Required For SA : Yes

Show Word Count : Yes

Answers Type : Range

Text Areas : PlainText

Possible Answers :

0.80 to 0.88

Sub-Section Number : 3

Sub-Section Id : 64065388143

Question Shuffling Allowed : Yes

Is Section Default? : null

Question Number : 31 Question Id : 640653611386 Question Type : MCQ Is Question

Mandatory : No Calculator : None Response Time : N.A Think Time : N.A Minimum Instruction
Time : 0

Correct Marks : 3

Question Label : Multiple Choice Question

Options :

6406532041744.

6406532041745.

6406532041746.

6406532041747.
Question Number : 32 Question Id : 640653611389 Question Type : MCQ Is Question
Mandatory : No Calculator : None Response Time : N.A Think Time : N.A Minimum Instruction
Time : 0

Correct Marks : 3

Question Label : Multiple Choice Question

Consider the following situation and match them with suitable test statistics and hypothesis test:

Suppose we observe samples from a normal distribution, where the variance is unknown. We want
to check whether the variance is greater than σ2. What test statistic and test can be applied to this
situation?

Options :

6406532041753.

6406532041754.

6406532041755.

6406532041756.

Sub-Section Number : 4

Sub-Section Id : 64065388144

Question Shuffling Allowed : Yes

Is Section Default? : null

Question Number : 33 Question Id : 640653611388 Question Type : MSQ Is Question

Mandatory : No Calculator : None Response Time : N.A Think Time : N.A Minimum Instruction
Time : 0

Correct Marks : 3 Max. Selectable Options : 0

Question Label : Multiple Select Question

Which of the following statement(s) is (are) correct?

Options :

6406532041749. Type II error is the probability of accepting the Null hypothesis when it is not
true.

6406532041750. The probability of accepting the null hypothesis when it is false is equal to the
power of the test.

6406532041751. The probability of rejecting the Null hypothesis when it is true is called the
level of significance.

6406532041752. If the P-value of a test is 0.04, then the corresponding test will reject the null
hypothesis at the significance level of 0.03.

Sub-Section Number : 5

Sub-Section Id : 64065388145

Question Shuffling Allowed : No

Is Section Default? : null

Question Id : 640653611390 Question Type : COMPREHENSION Sub Question Shuffling

Allowed : No Group Comprehension Questions : No Question Pattern Type : NonMatrix
Calculator : None Response Time : N.A Think Time : N.A Minimum Instruction Time : 0

Question Numbers : (34 to 35)

Question Label : Comprehension

The number of industrial injuries on a working day in Delhi can be modelled by a Poisson(0.4)
random variable. Suppose that the number of industrial injuries on different days are
independent. Let Y represent the total number of industrial injuries in a year of 365 days.

Based on the above data, answer the given subquestions.

Sub questions

Question Number : 34 Question Id : 640653611391 Question Type : MSQ Is Question

Mandatory : No Calculator : None Response Time : N.A Think Time : N.A Minimum Instruction
Time : 0

Correct Marks : 2 Max. Selectable Options : 0

Question Label : Multiple Select Question

Which of the following are true?

Options :

6406532041757. E[Y] = 0.4

6406532041758. E[Y] = 146

6406532041759. Var(Y) = 146

6406532041760. Var(Y) = 0.4

Question Number : 35 Question Id : 640653611392 Question Type : SA Calculator : None

Response Time : N.A Think Time : N.A Minimum Instruction Time : 0

Correct Marks : 3

Question Label : Short Answer Question

Using the Central Limit Theorem, find the approximate probability that there will be more than
150 industrial injuries in a year in Delhi. Enter the answer correct to two decimal places.

Response Type : Numeric

Evaluation Required For SA : Yes

Show Word Count : Yes

Answers Type : Range

Text Areas : PlainText

Possible Answers :

0.34 to 0.40

Question Id : 640653611393 Question Type : COMPREHENSION Sub Question Shuffling

Allowed : No Group Comprehension Questions : No Question Pattern Type : NonMatrix
Calculator : None Response Time : N.A Think Time : N.A Minimum Instruction Time : 0

Question Numbers : (36 to 38)

Question Label : Comprehension

Based on the above data, answer the given subquestions.

Sub questions

Question Number : 36 Question Id : 640653611394 Question Type : MCQ Is Question

Mandatory : No Calculator : None Response Time : N.A Think Time : N.A Minimum Instruction
Time : 0

Correct Marks : 1

Question Label : Multiple Choice Question

Find the value of k.

Options :

6406532041762.

6406532041763.

6406532041764.

6406532041765.

Question Number : 37 Question Id : 640653611395 Question Type : SA Calculator : None

Response Time : N.A Think Time : N.A Minimum Instruction Time : 0

Correct Marks : 2

Question Label : Short Answer Question

Calculate the value of FX(0.5). Enter the answer correct to two decimal places.
Response Type : Numeric

Evaluation Required For SA : Yes

Show Word Count : Yes

Answers Type : Range

Text Areas : PlainText

Possible Answers :

0.53 to 0.59

Question Number : 38 Question Id : 640653611396 Question Type : SA Calculator : None

Response Time : N.A Think Time : N.A Minimum Instruction Time : 0

Correct Marks : 2

Question Label : Short Answer Question

Find the expected value of X.

Response Type : Numeric

Evaluation Required For SA : Yes

Show Word Count : Yes

Answers Type : Equal

Text Areas : PlainText

Possible Answers :

Question Id : 640653611397 Question Type : COMPREHENSION Sub Question Shuffling

Allowed : No Group Comprehension Questions : No Question Pattern Type : NonMatrix
Calculator : None Response Time : N.A Think Time : N.A Minimum Instruction Time : 0

Question Numbers : (39 to 40)

Question Label : Comprehension

Based on the above data, answer the given subquestions.

Sub questions

Question Number : 39 Question Id : 640653611398 Question Type : SA Calculator : None

Response Time : N.A Think Time : N.A Minimum Instruction Time : 0

Correct Marks : 2

Question Label : Short Answer Question

Find the method of moments estimate of p. Enter the answer correct to one decimal place.

Response Type : Numeric

Evaluation Required For SA : Yes

Show Word Count : Yes

Answers Type : Equal

Text Areas : PlainText

Possible Answers :

0.9

Question Number : 40 Question Id : 640653611399 Question Type : SA Calculator : None

Response Time : N.A Think Time : N.A Minimum Instruction Time : 0

Correct Marks : 3

Question Label : Short Answer Question

Find the maximum likelihood estimate of p. Enter the answer correct to one decimal place.

Response Type : Numeric

Evaluation Required For SA : Yes

Show Word Count : Yes

Answers Type : Equal

Text Areas : PlainText

Possible Answers :

0.9

Question Id : 640653611400 Question Type : COMPREHENSION Sub Question Shuffling

Allowed : No Group Comprehension Questions : No Question Pattern Type : NonMatrix
Calculator : None Response Time : N.A Think Time : N.A Minimum Instruction Time : 0

Question Numbers : (41 to 42)

Question Label : Comprehension

Based on the above data, answer the given subquestions.

Sub questions

Question Number : 41 Question Id : 640653611401 Question Type : MCQ Is Question

Mandatory : No Calculator : None Response Time : N.A Think Time : N.A Minimum Instruction
Time : 0

Correct Marks : 3

Question Label : Multiple Choice Question

Find the posterior distribution of θ.

Options :

6406532041770. Gamma(11, 8)

6406532041771. Beta(10, 7)

6406532041772. Beta(11, 8)
6406532041773. Beta(8, 11)

Question Number : 42 Question Id : 640653611402 Question Type : SA Calculator : None

Response Time : N.A Think Time : N.A Minimum Instruction Time : 0

Correct Marks : 2

Question Label : Short Answer Question

Find the posterior mean. Enter the answer correct to two decimal places.

Response Type : Numeric

Evaluation Required For SA : Yes

Show Word Count : Yes

Answers Type : Range

Text Areas : PlainText

Possible Answers :

0.55 to 0.61

Question Id : 640653611403 Question Type : COMPREHENSION Sub Question Shuffling

Allowed : No Group Comprehension Questions : No Question Pattern Type : NonMatrix
Calculator : None Response Time : N.A Think Time : N.A Minimum Instruction Time : 0

Question Numbers : (43 to 44)

Question Label : Comprehension

Suppose a principal states that the students studying in her school have an average IQ score equal
to 98.5. A reporter suspects that the average may be higher and took a sample of 100 random
students from that school and found out that the average IQ score of those children is 98.78.
Assume the IQ scores of the students are normally distributed with a standard deviation of 1.6.

Based on the above data, answer the given subquestions.

Sub questions

Question Number : 43 Question Id : 640653611404 Question Type : MCQ Is Question

Mandatory : No Calculator : None Response Time : N.A Think Time : N.A Minimum Instruction
Time : 0
Correct Marks : 2

Question Label : Multiple Choice Question

Define null hypothesis and alternative hypothesis

Options :

6406532041775.

6406532041776.

6406532041777.

6406532041778.

Question Number : 44 Question Id : 640653611405 Question Type : SA Calculator : None

Response Time : N.A Think Time : N.A Minimum Instruction Time : 0

Correct Marks : 3

Question Label : Short Answer Question

Find the P−value. Enter the answer correct to two decimal places.

Response Type : Numeric

Evaluation Required For SA : Yes

Show Word Count : Yes

Answers Type : Range

Text Areas : PlainText

Possible Answers :

0.01 to 0.07

Sem2 Maths2
Section Id : 64065341321
6406532041737.

6406532041738.

Sem2 Statistics2
Section Id : 64065341320

Section Number : 2

Section type : Online

Mandatory or Optional : Mandatory

Number of Questions : 12

Number of Questions to be attempted : 12

Section Marks : 40

Display Number Panel : Yes

Section Negative Marks : 0

Group All Questions : No

Enable Mark as Answered Mark for Review and

Yes
Clear Response :

Maximum Instruction Time : 0

Sub-Section Number : 1

Sub-Section Id : 64065388141

Question Shuffling Allowed : No

Is Section Default? : null

Question Number : 27 Question Id : 640653611383 Question Type : MCQ Is Question

Mandatory : No Calculator : None Response Time : N.A Think Time : N.A Minimum Instruction
Time : 0
Correct Marks : 0

Question Label : Multiple Choice Question

THIS IS QUESTION PAPER FOR THE SUBJECT "FOUNDATION LEVEL : SEMESTER 2: STATISTICS
FOR DATA SCIENCE 2 (COMPUTER BASED EXAM)"

ARE YOU SURE YOU HAVE TO WRITE EXAM FOR THIS SUBJECT?
CROSS CHECK YOUR HALL TICKET TO CONFIRM THE SUBJECTS TO BE WRITTEN.

(IF IT IS NOT THE CORRECT SUBJECT, PLS CHECK THE SECTION AT THE TOP FOR THE SUBJECTS
REGISTERED BY YOU)

Options :

6406532041739. YES

6406532041740. NO

Question Number : 28 Question Id : 640653611384 Question Type : MCQ Is Question

Mandatory : No Calculator : None Response Time : N.A Think Time : N.A Minimum Instruction
Time : 0

Correct Marks : 0

Question Label : Multiple Choice Question

Options :

6406532041741. Useful Data has been mentioned above.

6406532041742. This data attachment is just for a reference & not for an evaluation.

Sub-Section Number : 2

Sub-Section Id : 64065388142

Question Shuffling Allowed : Yes

Is Section Default? : null

Question Number : 29 Question Id : 640653611385 Question Type : SA Calculator : None

Response Time : N.A Think Time : N.A Minimum Instruction Time : 0

Correct Marks : 3

Question Label : Short Answer Question

Response Type : Numeric

Evaluation Required For SA : Yes

Show Word Count : Yes

Answers Type : Equal

Text Areas : PlainText

Possible Answers :

0.5

Question Number : 30 Question Id : 640653611387 Question Type : SA Calculator : None

Response Time : N.A Think Time : N.A Minimum Instruction Time : 0

Correct Marks : 3

Question Label : Short Answer Question

Response Type : Numeric

Evaluation Required For SA : Yes

Show Word Count : Yes

Answers Type : Range

Text Areas : PlainText

Possible Answers :

0.80 to 0.88

Sub-Section Number : 3

Sub-Section Id : 64065388143

Question Shuffling Allowed : Yes

Is Section Default? : null

Question Number : 31 Question Id : 640653611386 Question Type : MCQ Is Question

Mandatory : No Calculator : None Response Time : N.A Think Time : N.A Minimum Instruction
Time : 0

Correct Marks : 3

Question Label : Multiple Choice Question

Options :

6406532041744.

6406532041745.

6406532041746.

6406532041747.
Question Number : 32 Question Id : 640653611389 Question Type : MCQ Is Question
Mandatory : No Calculator : None Response Time : N.A Think Time : N.A Minimum Instruction
Time : 0

Correct Marks : 3

Question Label : Multiple Choice Question

Consider the following situation and match them with suitable test statistics and hypothesis test:

Suppose we observe samples from a normal distribution, where the variance is unknown. We want
to check whether the variance is greater than σ2. What test statistic and test can be applied to this
situation?

Options :

6406532041753.

6406532041754.

6406532041755.

6406532041756.

Sub-Section Number : 4

Sub-Section Id : 64065388144

Question Shuffling Allowed : Yes

Is Section Default? : null

Question Number : 33 Question Id : 640653611388 Question Type : MSQ Is Question

Mandatory : No Calculator : None Response Time : N.A Think Time : N.A Minimum Instruction
Time : 0

Correct Marks : 3 Max. Selectable Options : 0

Question Label : Multiple Select Question

Which of the following statement(s) is (are) correct?

Options :

6406532041749. Type II error is the probability of accepting the Null hypothesis when it is not
true.

6406532041750. The probability of accepting the null hypothesis when it is false is equal to the
power of the test.

6406532041751. The probability of rejecting the Null hypothesis when it is true is called the
level of significance.

6406532041752. If the P-value of a test is 0.04, then the corresponding test will reject the null
hypothesis at the significance level of 0.03.

Sub-Section Number : 5

Sub-Section Id : 64065388145

Question Shuffling Allowed : No

Is Section Default? : null

Question Id : 640653611390 Question Type : COMPREHENSION Sub Question Shuffling

Allowed : No Group Comprehension Questions : No Question Pattern Type : NonMatrix
Calculator : None Response Time : N.A Think Time : N.A Minimum Instruction Time : 0

Question Numbers : (34 to 35)

Question Label : Comprehension

The number of industrial injuries on a working day in Delhi can be modelled by a Poisson(0.4)
random variable. Suppose that the number of industrial injuries on different days are
independent. Let Y represent the total number of industrial injuries in a year of 365 days.

Based on the above data, answer the given subquestions.

Sub questions

Question Number : 34 Question Id : 640653611391 Question Type : MSQ Is Question

Mandatory : No Calculator : None Response Time : N.A Think Time : N.A Minimum Instruction
Time : 0

Correct Marks : 2 Max. Selectable Options : 0

Question Label : Multiple Select Question

Which of the following are true?

Options :

6406532041757. E[Y] = 0.4

6406532041758. E[Y] = 146

6406532041759. Var(Y) = 146

6406532041760. Var(Y) = 0.4

Question Number : 35 Question Id : 640653611392 Question Type : SA Calculator : None

Response Time : N.A Think Time : N.A Minimum Instruction Time : 0

Correct Marks : 3

Question Label : Short Answer Question

Using the Central Limit Theorem, find the approximate probability that there will be more than
150 industrial injuries in a year in Delhi. Enter the answer correct to two decimal places.

Response Type : Numeric

Evaluation Required For SA : Yes

Show Word Count : Yes

Answers Type : Range

Text Areas : PlainText

Possible Answers :

0.34 to 0.40

Question Id : 640653611393 Question Type : COMPREHENSION Sub Question Shuffling

Allowed : No Group Comprehension Questions : No Question Pattern Type : NonMatrix
Calculator : None Response Time : N.A Think Time : N.A Minimum Instruction Time : 0

Question Numbers : (36 to 38)

Question Label : Comprehension

Based on the above data, answer the given subquestions.

Sub questions

Question Number : 36 Question Id : 640653611394 Question Type : MCQ Is Question

Mandatory : No Calculator : None Response Time : N.A Think Time : N.A Minimum Instruction
Time : 0

Correct Marks : 1

Question Label : Multiple Choice Question

Find the value of k.

Options :

6406532041762.

6406532041763.

6406532041764.

6406532041765.

Question Number : 37 Question Id : 640653611395 Question Type : SA Calculator : None

Response Time : N.A Think Time : N.A Minimum Instruction Time : 0

Correct Marks : 2

Question Label : Short Answer Question

Calculate the value of FX(0.5). Enter the answer correct to two decimal places.
Response Type : Numeric

Evaluation Required For SA : Yes

Show Word Count : Yes

Answers Type : Range

Text Areas : PlainText

Possible Answers :

0.53 to 0.59

Question Number : 38 Question Id : 640653611396 Question Type : SA Calculator : None

Response Time : N.A Think Time : N.A Minimum Instruction Time : 0

Correct Marks : 2

Question Label : Short Answer Question

Find the expected value of X.

Response Type : Numeric

Evaluation Required For SA : Yes

Show Word Count : Yes

Answers Type : Equal

Text Areas : PlainText

Possible Answers :

Question Id : 640653611397 Question Type : COMPREHENSION Sub Question Shuffling

Allowed : No Group Comprehension Questions : No Question Pattern Type : NonMatrix
Calculator : None Response Time : N.A Think Time : N.A Minimum Instruction Time : 0

Question Numbers : (39 to 40)

Question Label : Comprehension

Based on the above data, answer the given subquestions.

Sub questions

Question Number : 39 Question Id : 640653611398 Question Type : SA Calculator : None

Response Time : N.A Think Time : N.A Minimum Instruction Time : 0

Correct Marks : 2

Question Label : Short Answer Question

Find the method of moments estimate of p. Enter the answer correct to one decimal place.

Response Type : Numeric

Evaluation Required For SA : Yes

Show Word Count : Yes

Answers Type : Equal

Text Areas : PlainText

Possible Answers :

0.9

Question Number : 40 Question Id : 640653611399 Question Type : SA Calculator : None

Response Time : N.A Think Time : N.A Minimum Instruction Time : 0

Correct Marks : 3

Question Label : Short Answer Question

Find the maximum likelihood estimate of p. Enter the answer correct to one decimal place.

Response Type : Numeric

Evaluation Required For SA : Yes

Show Word Count : Yes

Answers Type : Equal

Text Areas : PlainText

Possible Answers :

0.9

Question Id : 640653611400 Question Type : COMPREHENSION Sub Question Shuffling

Allowed : No Group Comprehension Questions : No Question Pattern Type : NonMatrix
Calculator : None Response Time : N.A Think Time : N.A Minimum Instruction Time : 0

Question Numbers : (41 to 42)

Question Label : Comprehension

Based on the above data, answer the given subquestions.

Sub questions

Question Number : 41 Question Id : 640653611401 Question Type : MCQ Is Question

Mandatory : No Calculator : None Response Time : N.A Think Time : N.A Minimum Instruction
Time : 0

Correct Marks : 3

Question Label : Multiple Choice Question

Find the posterior distribution of θ.

Options :

6406532041770. Gamma(11, 8)

6406532041771. Beta(10, 7)

6406532041772. Beta(11, 8)
6406532041773. Beta(8, 11)

Question Number : 42 Question Id : 640653611402 Question Type : SA Calculator : None

Response Time : N.A Think Time : N.A Minimum Instruction Time : 0

Correct Marks : 2

Question Label : Short Answer Question

Find the posterior mean. Enter the answer correct to two decimal places.

Response Type : Numeric

Evaluation Required For SA : Yes

Show Word Count : Yes

Answers Type : Range

Text Areas : PlainText

Possible Answers :

0.55 to 0.61

Question Id : 640653611403 Question Type : COMPREHENSION Sub Question Shuffling

Allowed : No Group Comprehension Questions : No Question Pattern Type : NonMatrix
Calculator : None Response Time : N.A Think Time : N.A Minimum Instruction Time : 0

Question Numbers : (43 to 44)

Question Label : Comprehension

Suppose a principal states that the students studying in her school have an average IQ score equal
to 98.5. A reporter suspects that the average may be higher and took a sample of 100 random
students from that school and found out that the average IQ score of those children is 98.78.
Assume the IQ scores of the students are normally distributed with a standard deviation of 1.6.

Based on the above data, answer the given subquestions.

Sub questions

Question Number : 43 Question Id : 640653611404 Question Type : MCQ Is Question

Mandatory : No Calculator : None Response Time : N.A Think Time : N.A Minimum Instruction
Time : 0
Correct Marks : 2

Question Label : Multiple Choice Question

Define null hypothesis and alternative hypothesis

Options :

6406532041775.

6406532041776.

6406532041777.

6406532041778.

Question Number : 44 Question Id : 640653611405 Question Type : SA Calculator : None

Response Time : N.A Think Time : N.A Minimum Instruction Time : 0

Correct Marks : 3

Question Label : Short Answer Question

Find the P−value. Enter the answer correct to two decimal places.

Response Type : Numeric

Evaluation Required For SA : Yes

Show Word Count : Yes

Answers Type : Range

Text Areas : PlainText

Possible Answers :

0.01 to 0.07

Sem2 Maths2
Section Id : 64065341321
5

Sub-Section Number : 12

Sub-Section Id : 64065380215

Question Shuffling Allowed : Yes

Is Section Default? : null

Question Number : 21 Question Id : 640653563104 Question Type : SA Calculator : None

Response Time : N.A Think Time : N.A Minimum Instruction Time : 0

Correct Marks : 5

Question Label : Short Answer Question

Response Type : Numeric

Evaluation Required For SA : Yes

Show Word Count : Yes

Answers Type : Equal

Text Areas : PlainText

Possible Answers :

-1.5

Sem2 Statistics2
Section Id : 64065338303

Section Number : 2

Section type : Online

Mandatory or Optional : Mandatory

Number of Questions : 12

Number of Questions to be attempted : 12

Section Marks : 40
Display Number Panel : Yes

Group All Questions : No

Enable Mark as Answered Mark for Review and

Yes
Clear Response :

Maximum Instruction Time : 0

Sub-Section Number : 1

Sub-Section Id : 64065380216

Question Shuffling Allowed : No

Is Section Default? : null

Question Number : 22 Question Id : 640653563112 Question Type : MCQ Is Question

Mandatory : No Calculator : None Response Time : N.A Think Time : N.A Minimum Instruction
Time : 0

Correct Marks : 0

Question Label : Multiple Choice Question

THIS IS QUESTION PAPER FOR THE SUBJECT "FOUNDATION LEVEL : SEMESTER 2: STATISTICS
FOR DATA SCIENCE 2 (COMPUTER BASED EXAM)"

ARE YOU SURE YOU HAVE TO WRITE EXAM FOR THIS SUBJECT?
CROSS CHECK YOUR HALL TICKET TO CONFIRM THE SUBJECTS TO BE WRITTEN.

(IF IT IS NOT THE CORRECT SUBJECT, PLS CHECK THE SECTION AT THE TOP FOR THE SUBJECTS
REGISTERED BY YOU)

Options :

6406531882695. YES

6406531882696. NO

Question Number : 23 Question Id : 640653563113 Question Type : MCQ Is Question

Mandatory : No Calculator : None Response Time : N.A Think Time : N.A Minimum Instruction
Time : 0

Correct Marks : 0
Question Label : Multiple Choice Question
Options :

6406531882697. Useful Data has been mentioned above

6406531882698. This data attachment is just for a reference & not for an evaluation.

Sub-Section Number : 2

Sub-Section Id : 64065380217

Question Shuffling Allowed : Yes

Is Section Default? : null

Question Number : 24 Question Id : 640653563114 Question Type : SA Calculator : None

Response Time : N.A Think Time : N.A Minimum Instruction Time : 0

Correct Marks : 3

Question Label : Short Answer Question

Two 4-sided fair dice are rolled. If the sum of the numbers on the two dice is less than or equal to
7, then find the conditional probability that the number on the first die is 4.

Response Type : Numeric

Evaluation Required For SA : Yes

Show Word Count : Yes

Answers Type : Range

Text Areas : PlainText

Possible Answers :

0.17 to 0.23

Question Number : 25 Question Id : 640653563115 Question Type : SA Calculator : None

Response Time : N.A Think Time : N.A Minimum Instruction Time : 0

Correct Marks : 3

Question Label : Short Answer Question

Response Type : Numeric

Evaluation Required For SA : Yes

Show Word Count : Yes

Answers Type : Equal

Text Areas : PlainText

Possible Answers :

Sub-Section Number : 3

Sub-Section Id : 64065380218

Question Shuffling Allowed : Yes

Is Section Default? : null

Question Number : 26 Question Id : 640653563116 Question Type : MSQ Is Question

Mandatory : No Calculator : None Response Time : N.A Think Time : N.A Minimum Instruction
Time : 0

Correct Marks : 3 Selectable Option : 0

Question Label : Multiple Select Question

Suppose X is a random variable whose distribution has an unknown parameter θ and Y is a zero
mean random variable. Which of the following must be true?
Options :

6406531882701.

6406531882702.

6406531882703.

6406531882704.

Sub-Section Number : 4

Sub-Section Id : 64065380219

Question Shuffling Allowed : Yes

Is Section Default? : null

Question Number : 27 Question Id : 640653563117 Question Type : MCQ Is Question

Mandatory : No Calculator : None Response Time : N.A Think Time : N.A Minimum Instruction
Time : 0

Correct Marks : 3

Question Label : Multiple Choice Question

Options :

6406531882705.
6406531882706.

6406531882707.

6406531882708.

Question Number : 28 Question Id : 640653563118 Question Type : MCQ Is Question

Mandatory : No Calculator : None Response Time : N.A Think Time : N.A Minimum Instruction
Time : 0

Correct Marks : 3

Question Label : Multiple Choice Question

Options :

6406531882709.

6406531882710.

6406531882711.

6406531882712.

Sub-Section Number : 5
Sub-Section Id : 64065380220

Question Shuffling Allowed : No

Is Section Default? : null

Question Id : 640653563119 Question Type : COMPREHENSION Sub Question Shuffling

Allowed : No Group Comprehension Questions : No Question Pattern Type : NonMatrix
Calculator : None Response Time : N.A Think Time : N.A Minimum Instruction Time : 0

Question Numbers : (29 to 30)

Question Label : Comprehension

Let X be a random variable with PMF as follows:

Define another random variable Y = 2X + 3.

Based on the above data, answer the given subquestions.

Sub questions

Question Number : 29 Question Id : 640653563120 Question Type : SA Calculator : None

Response Time : N.A Think Time : N.A Minimum Instruction Time : 0

Correct Marks : 3

Question Label : Short Answer Question

What is the standard deviation of Y ?

Response Type : Numeric

Evaluation Required For SA : Yes

Show Word Count : Yes

Answers Type : Equal

Text Areas : PlainText

Possible Answers :
1

Question Number : 30 Question Id : 640653563121 Question Type : MCQ Is Question

Mandatory : No Calculator : None Response Time : N.A Think Time : N.A Minimum Instruction
Time : 0

Correct Marks : 2

Question Label : Multiple Choice Question

Options :

6406531882714.

6406531882715.

6406531882716.

6406531882717.

Question Id : 640653563122 Question Type : COMPREHENSION Sub Question Shuffling

Allowed : No Group Comprehension Questions : No Question Pattern Type : NonMatrix
Calculator : None Response Time : N.A Think Time : N.A Minimum Instruction Time : 0

Question Numbers : (31 to 32)

Question Label : Comprehension

Based on the above data, answer the given subquestions.

Sub questions

Question Number : 31 Question Id : 640653563123 Question Type : MCQ Is Question

Mandatory : No Calculator : None Response Time : N.A Think Time : N.A Minimum Instruction
Time : 0

Correct Marks : 2

Question Label : Multiple Choice Question

Find the value of c.

Options :

6406531882718.

6406531882719.

6406531882720.

6406531882721.

Question Number : 32 Question Id : 640653563124 Question Type : SA Calculator : None

Response Time : N.A Think Time : N.A Minimum Instruction Time : 0

Correct Marks : 3

Question Label : Short Answer Question

Find the value of P(X < 1, Y < 3). Enter the answer correct to three decimal places.

Response Type : Numeric

Evaluation Required For SA : Yes

Show Word Count : Yes

Answers Type : Range

Text Areas : PlainText

Possible Answers :

0.372 to 0.378

Question Id : 640653563125 Question Type : COMPREHENSION Sub Question Shuffling

Allowed : No Group Comprehension Questions : No Question Pattern Type : NonMatrix
Calculator : None Response Time : N.A Think Time : N.A Minimum Instruction Time : 0

Question Numbers : (33 to 34)

Question Label : Comprehension

Based on the above data, answer the given subquestions.

Sub questions

Question Number : 33 Question Id : 640653563126 Question Type : SA Calculator : None

Response Time : N.A Think Time : N.A Minimum Instruction Time : 0

Correct Marks : 2

Question Label : Short Answer Question

Find the method of moments estimate of θ for the given sample. Enter the answer correct to two
decimal places.

Response Type : Numeric

Evaluation Required For SA : Yes

Show Word Count : Yes

Answers Type : Range

Text Areas : PlainText

Possible Answers :

0.23 to 0.27
Question Number : 34 Question Id : 640653563127 Question Type : SA Calculator : None
Response Time : N.A Think Time : N.A Minimum Instruction Time : 0

Correct Marks : 3

Question Label : Short Answer Question

Find the maximum likelihood estimate of θ for the given sample. Enter the answer correct to two
decimal places.

Response Type : Numeric

Evaluation Required For SA : Yes

Show Word Count : Yes

Answers Type : Range

Text Areas : PlainText

Possible Answers :

0.23 to 0.27

Question Id : 640653563128 Question Type : COMPREHENSION Sub Question Shuffling

Allowed : No Group Comprehension Questions : No Question Pattern Type : NonMatrix
Calculator : None Response Time : N.A Think Time : N.A Minimum Instruction Time : 0

Question Numbers : (35 to 36)

Question Label : Comprehension

Based on the above data, answer the given subquestions.

Sub questions

Question Number : 35 Question Id : 640653563129 Question Type : MCQ Is Question

Mandatory : No Calculator : None Response Time : N.A Think Time : N.A Minimum Instruction
Time : 0
Correct Marks : 3

Question Label : Multiple Choice Question

Find the posterior distribution of p.

Options :

6406531882725. Gamma(39,11)

6406531882726. Beta(40, 16)

6406531882727. Gamma(40,16)

6406531882728. Gamma(40,11)

Question Number : 36 Question Id : 640653563130 Question Type : SA Calculator : None

Response Time : N.A Think Time : N.A Minimum Instruction Time : 0

Correct Marks : 2

Question Label : Short Answer Question

Find the posterior mean. Enter the answer correct to two decimal places.

Response Type : Numeric

Evaluation Required For SA : Yes

Show Word Count : Yes

Answers Type : Range

Text Areas : PlainText

Possible Answers :

3.60 to 3.68

Question Id : 640653563131 Question Type : COMPREHENSION Sub Question Shuffling

Allowed : No Group Comprehension Questions : No Question Pattern Type : NonMatrix
Calculator : None Response Time : N.A Think Time : N.A Minimum Instruction Time : 0

Question Numbers : (37 to 38)

Question Label : Comprehension

A manufacturer produces cotter pins and claims that the probability of a randomly selected cotter
pin being defective is 0.3. However, an analyst suspects that the claimed probability value is too
high and decides to verify it by conducting a test. The analyst randomly selects 8 cotter pins from
the manufacturer’s production line and inspects them for defects. If less than 2 cotter pins are
defective (out of those 8 cotter pins), then the analyst rejects the claim, or else he accepts it.

Based on the above data, answer the given subquestions.

Sub questions

Question Number : 37 Question Id : 640653563132 Question Type : MCQ Is Question

Mandatory : No Calculator : None Response Time : N.A Think Time : N.A Minimum Instruction
Time : 0

Correct Marks : 2

Question Label : Multiple Choice Question

Define null hypothesis and alternative hypothesis.

Options :

6406531882730.

6406531882731.

6406531882732.

6406531882733.

Question Number : 38 Question Id : 640653563133 Question Type : SA Calculator : None

Response Time : N.A Think Time : N.A Minimum Instruction Time : 0

Correct Marks : 3

Question Label : Short Answer Question

Find the significance level of the test. Enter the answer correct to two decimal places.

Response Type : Numeric

Evaluation Required For SA : Yes

Show Word Count : Yes

Answers Type : Range

Text Areas : PlainText

Possible Answers :

0.23 to 0.29

Sem2 Maths2
Section Id : 64065338304

Section Number : 3

Section type : Online

Mandatory or Optional : Mandatory

Number of Questions : 15

Number of Questions to be attempted : 15

Section Marks : 50

Display Number Panel : Yes

Group All Questions : No

Enable Mark as Answered Mark for Review and

Yes
Clear Response :

Maximum Instruction Time : 0

Sub-Section Number : 1

Sub-Section Id : 64065380221

Question Shuffling Allowed : No

Is Section Default? : null

Question Number : 39 Question Id : 640653563134 Question Type : MCQ Is Question

Mandatory : No Calculator : None Response Time : N.A Think Time : N.A Minimum Instruction
Time : 0

Correct Marks : 0

Question Label : Multiple Choice Question

-12

Sem2 Statistics2
Section Id : 64065338391

Section Number : 2

Section type : Online

Mandatory or Optional : Mandatory

Number of Questions : 12

Number of Questions to be attempted : 12

Section Marks : 40

Display Number Panel : Yes

Group All Questions : No

Enable Mark as Answered Mark for Review and

Yes
Clear Response :

Maximum Instruction Time : 0

Sub-Section Number : 1

Sub-Section Id : 64065380846

Question Shuffling Allowed : No

Is Section Default? : null

Question Number : 23 Question Id : 640653565683 Question Type : MCQ Is Question

Mandatory : No Calculator : None Response Time : N.A Think Time : N.A Minimum Instruction
Time : 0

Correct Marks : 0

Question Label : Multiple Choice Question

THIS IS QUESTION PAPER FOR THE SUBJECT "FOUNDATION LEVEL : SEMESTER 2: STATISTICS
FOR DATA SCIENCE 2 (COMPUTER BASED EXAM)"

ARE YOU SURE YOU HAVE TO WRITE EXAM FOR THIS SUBJECT?
CROSS CHECK YOUR HALL TICKET TO CONFIRM THE SUBJECTS TO BE WRITTEN.

(IF IT IS NOT THE CORRECT SUBJECT, PLS CHECK THE SECTION AT THE TOP FOR THE SUBJECTS
REGISTERED BY YOU)

Options :

6406531890712. YES

6406531890713. NO

Question Number : 24 Question Id : 640653565684 Question Type : MCQ Is Question

Mandatory : No Calculator : None Response Time : N.A Think Time : N.A Minimum Instruction
Time : 0

Correct Marks : 0

Question Label : Multiple Choice Question

Options :

6406531890714. Useful Data has been mentioned above.

6406531890715. This data attachment is just for a reference & not for an evaluation.

Sub-Section Number : 2

Sub-Section Id : 64065380847

Question Shuffling Allowed : Yes

Is Section Default? : null

Question Number : 25 Question Id : 640653565685 Question Type : SA Calculator : None

Response Time : N.A Think Time : N.A Minimum Instruction Time : 0

Correct Marks : 3

Question Label : Short Answer Question

Sushant first throws a fair die, then throws as many fair coins as the number that showed on the
die. If the die showed 5, then find the conditional probability that 3 heads are obtained. Enter the
answer correct to three decimal places.

Response Type : Numeric

Evaluation Required For SA : Yes

Show Word Count : Yes

Answers Type : Range

Text Areas : PlainText

Possible Answers :

0.310 to 0.316

Question Number : 26 Question Id : 640653565687 Question Type : SA Calculator : None

Response Time : N.A Think Time : N.A Minimum Instruction Time : 0

Correct Marks : 3

Question Label : Short Answer Question

Response Type : Numeric

Evaluation Required For SA : Yes

Show Word Count : Yes

Answers Type : Equal

Text Areas : PlainText

Possible Answers :

Sub-Section Number : 3

Sub-Section Id : 64065380848

Question Shuffling Allowed : Yes

Is Section Default? : null

Question Number : 27 Question Id : 640653565688 Question Type : MSQ Is Question

Mandatory : No Calculator : None Response Time : N.A Think Time : N.A Minimum Instruction
Time : 0

Correct Marks : 3 Selectable Option : 0

Question Label : Multiple Select Question

Which of the following statement(s) is/are correct?

Options :
6406531890722.

6406531890723.

6406531890724.

6406531890725.

Sub-Section Number : 4

Sub-Section Id : 64065380849

Question Shuffling Allowed : Yes

Is Section Default? : null

Question Number : 28 Question Id : 640653565686 Question Type : MCQ Is Question

Mandatory : No Calculator : None Response Time : N.A Think Time : N.A Minimum Instruction
Time : 0

Correct Marks : 3

Question Label : Multiple Choice Question

Options :

6406531890717.

6406531890718.
6406531890719.

6406531890720.

Question Number : 29 Question Id : 640653565689 Question Type : MCQ Is Question

Mandatory : No Calculator : None Response Time : N.A Think Time : N.A Minimum Instruction
Time : 0

Correct Marks : 3

Question Label : Multiple Choice Question

Options :

6406531890726.

6406531890727.

6406531890728.

6406531890729.
Sub-Section Number : 5

Sub-Section Id : 64065380850

Question Shuffling Allowed : No

Is Section Default? : null

Question Id : 640653565690 Question Type : COMPREHENSION Sub Question Shuffling

Allowed : No Group Comprehension Questions : No Question Pattern Type : NonMatrix
Calculator : None Response Time : N.A Think Time : N.A Minimum Instruction Time : 0

Question Numbers : (30 to 31)

Question Label : Comprehension

Based on the above data, answer the given subquestions.

Sub questions

Question Number : 30 Question Id : 640653565691 Question Type : MCQ Is Question

Mandatory : No Calculator : None Response Time : N.A Think Time : N.A Minimum Instruction
Time : 0

Correct Marks : 2

Question Label : Multiple Choice Question

Options :

6406531890730.

6406531890731.

6406531890732.
6406531890733.

Question Number : 31 Question Id : 640653565692 Question Type : SA Calculator : None

Response Time : N.A Think Time : N.A Minimum Instruction Time : 0

Correct Marks : 3

Question Label : Short Answer Question

Find E[X2]. Enter the answer correct to two decimal places.

Response Type : Numeric

Evaluation Required For SA : Yes

Show Word Count : Yes

Answers Type : Range

Text Areas : PlainText

Possible Answers :

3.35 to 3.41

Question Id : 640653565693 Question Type : COMPREHENSION Sub Question Shuffling

Allowed : No Group Comprehension Questions : No Question Pattern Type : NonMatrix
Calculator : None Response Time : N.A Think Time : N.A Minimum Instruction Time : 0

Question Numbers : (32 to 33)

Question Label : Comprehension

Based on the above data, answer the given subquestions.

Sub questions
Question Number : 32 Question Id : 640653565694 Question Type : MCQ Is Question
Mandatory : No Calculator : None Response Time : N.A Think Time : N.A Minimum Instruction
Time : 0

Correct Marks : 2

Question Label : Multiple Choice Question

Find the value of k.

Options :

6406531890735.

6406531890736.

6406531890737.

6406531890738.

Question Number : 33 Question Id : 640653565695 Question Type : SA Calculator : None

Response Time : N.A Think Time : N.A Minimum Instruction Time : 0

Correct Marks : 3

Question Label : Short Answer Question

Find the value of P(X + Y < 1). Enter the answer correct to one decimal place.

Response Type : Numeric

Evaluation Required For SA : Yes

Show Word Count : Yes

Answers Type : Equal

Text Areas : PlainText

Possible Answers :
0.1

Question Id : 640653565696 Question Type : COMPREHENSION Sub Question Shuffling

Allowed : No Group Comprehension Questions : No Question Pattern Type : NonMatrix
Calculator : None Response Time : N.A Think Time : N.A Minimum Instruction Time : 0

Question Numbers : (34 to 35)

Question Label : Comprehension

Based on the above data, answer the given subquestions.

Sub questions

Question Number : 34 Question Id : 640653565697 Question Type : SA Calculator : None

Response Time : N.A Think Time : N.A Minimum Instruction Time : 0

Correct Marks : 2

Question Label : Short Answer Question

Consider a random sample (−0.2, 0.3, 0.7,−0.6, 0.1). Find the method of moments estimate of θ for
the given sample. Enter the answer correct to two decimal places.

Response Type : Numeric

Evaluation Required For SA : Yes

Show Word Count : Yes

Answers Type : Range

Text Areas : PlainText

Possible Answers :

0.16 to 0.20

Question Number : 35 Question Id : 640653565698 Question Type : SA Calculator : None

Response Time : N.A Think Time : N.A Minimum Instruction Time : 0

Correct Marks : 3

Question Label : Short Answer Question

Response Type : Numeric

Evaluation Required For SA : Yes

Show Word Count : Yes

Answers Type : Range

Text Areas : PlainText

Possible Answers :

0.30 to 0.36

Question Id : 640653565699 Question Type : COMPREHENSION Sub Question Shuffling

Allowed : No Group Comprehension Questions : No Question Pattern Type : NonMatrix
Calculator : None Response Time : N.A Think Time : N.A Minimum Instruction Time : 0

Question Numbers : (36 to 37)

Question Label : Comprehension

We wish to estimate the probability p of getting the number one on a biased die using a Bayesian
estimator. Consider 8 independent throws and suppose one appears two times.
Assume the prior distribution of p to be Uniform[0, 1].

Based on the above data, answer the given subquestions.

Sub questions

Question Number : 36 Question Id : 640653565700 Question Type : MCQ Is Question

Mandatory : No Calculator : None Response Time : N.A Think Time : N.A Minimum Instruction
Time : 0

Correct Marks : 3

Question Label : Multiple Choice Question

Find the posterior distribution of p.

Options :

6406531890742.

6406531890743.

6406531890744.

6406531890745.

Question Number : 37 Question Id : 640653565701 Question Type : SA Calculator : None

Response Time : N.A Think Time : N.A Minimum Instruction Time : 0

Correct Marks : 2

Question Label : Short Answer Question

Find the posterior mean. Enter the answer correct to one decimal place.

Response Type : Numeric

Evaluation Required For SA : Yes

Show Word Count : Yes

Answers Type : Equal

Text Areas : PlainText

Possible Answers :

0.3

Question Id : 640653565702 Question Type : COMPREHENSION Sub Question Shuffling

Allowed : No Group Comprehension Questions : No Question Pattern Type : NonMatrix
Calculator : None Response Time : N.A Think Time : N.A Minimum Instruction Time : 0

Question Numbers : (38 to 39)

Question Label : Comprehension

A company has provided insurance policies to several people whose age is normal with variance
36. An insurance agent of the company has claimed that the average age of policyholders who are
insured through her is 30 years. We suspect that this is too low. To test the agent’s claim, we have
selected a random sample of 100 policyholders who purchased their policies through her. If the
average age of the selected 100 policyholders is greater than 31.1 years, we reject the claim;
otherwise, we accept it.

Based on the above data, answer the given subquestions.

Sub questions

Question Number : 38 Question Id : 640653565703 Question Type : MCQ Is Question

Mandatory : No Calculator : None Response Time : N.A Think Time : N.A Minimum Instruction
Time : 0

Correct Marks : 2

Question Label : Multiple Choice Question

Define null hypothesis and alternative hypothesis.

Options :

6406531890747.

6406531890748.

6406531890749.

6406531890750.
Question Number : 39 Question Id : 640653565704 Question Type : SA Calculator : None
Response Time : N.A Think Time : N.A Minimum Instruction Time : 0

Correct Marks : 3

Question Label : Short Answer Question

Find the significance level of the test. Enter the answer correct to two decimal places.

Response Type : Numeric

Evaluation Required For SA : Yes

Show Word Count : Yes

Answers Type : Range

Text Areas : PlainText

Possible Answers :

0.02 to 0.04

Sem2 Maths2
Section Id : 64065338392

Section Number : 3

Section type : Online

Mandatory or Optional : Mandatory

Number of Questions : 15

Number of Questions to be attempted : 15

Section Marks : 50

Display Number Panel : Yes

Group All Questions : No

Enable Mark as Answered Mark for Review and

Yes
Clear Response :

Maximum Instruction Time : 0

Sub-Section Number : 1

Sub-Section Id : 64065380851

Question Shuffling Allowed : No

6406531505388.

6406531505389.

6406531505390.

6406531505391.

Question Number : 16 Question Id : 640653452424 Question Type : SA Calculator : None

Response Time : N.A Think Time : N.A Minimum Instruction Time : 0

Correct Marks : 3

Question Label : Short Answer Question

Response Type : Numeric

Evaluation Required For SA : Yes

Show Word Count : Yes

Answers Type : Equal

Text Areas : PlainText

Possible Answers :

12

Sem2 Statistics2
Section Id : 64065329348

Section Number : 2
Section type : Online

Mandatory or Optional : Mandatory

Number of Questions : 12

Number of Questions to be attempted : 12

Section Marks : 40

Display Number Panel : Yes

Group All Questions : No

Enable Mark as Answered Mark for Review and

Yes
Clear Response :

Maximum Instruction Time : 0

Sub-Section Number : 1

Sub-Section Id : 64065365134

Question Shuffling Allowed : No

Is Section Default? : null

Question Number : 17 Question Id : 640653452426 Question Type : MCQ Is Question

Mandatory : No Calculator : None Response Time : N.A Think Time : N.A Minimum Instruction
Time : 0

Correct Marks : 0

Question Label : Multiple Choice Question

THIS IS QUESTION PAPER FOR THE SUBJECT "FOUNDATION LEVEL: SEMESTER 2: STATISTICS
FOR DATA SCIENCE 2"

ARE YOU SURE YOU HAVE TO WRITE EXAM FOR THIS SUBJECT?
CROSS CHECK YOUR HALL TICKET TO CONFIRM THE SUBJECT TO BE WRITTEN.

(IF IT IS NOT THE CORRECT SUBJECT, PLS CHECK THE SECTION AT THE TOP FOR THE SUBJECTS
REGISTERED BY YOU)

Options :

6406531505394. YES

6406531505395. NO
Question Number : 18 Question Id : 640653452427 Question Type : MCQ Is Question
Mandatory : No Calculator : None Response Time : N.A Think Time : N.A Minimum Instruction
Time : 0

Correct Marks : 0

Question Label : Multiple Choice Question

Options :

6406531505396. Useful Data has been mentioned above.

6406531505397. This data attachment is just for a reference & not for an evaluation.

Sub-Section Number : 2

Sub-Section Id : 64065365135

Question Shuffling Allowed : Yes

Is Section Default? : null

Question Number : 19 Question Id : 640653452428 Question Type : SA Calculator : None

Response Time : N.A Think Time : N.A Minimum Instruction Time : 0

Correct Marks : 3

Question Label : Short Answer Question

Response Type : Numeric

Evaluation Required For SA : Yes

Show Word Count : Yes

Answers Type : Range

Text Areas : PlainText

Possible Answers :

0.30 to 0.36

Question Number : 20 Question Id : 640653452429 Question Type : SA Calculator : None

Response Time : N.A Think Time : N.A Minimum Instruction Time : 0

Correct Marks : 3

Question Label : Short Answer Question

Response Type : Numeric

Evaluation Required For SA : Yes

Show Word Count : Yes

Answers Type : Range

Text Areas : PlainText

Possible Answers :

0.22 to 0.26

Sub-Section Number : 3

Sub-Section Id : 64065365136

Question Shuffling Allowed : Yes

Is Section Default? : null

Question Number : 21 Question Id : 640653452430 Question Type : MSQ Is Question

Mandatory : No Calculator : None Response Time : N.A Think Time : N.A Minimum Instruction
Time : 0

Correct Marks : 3 Selectable Option : 0

Question Label : Multiple Select Question

Which of the following statements are correct?

Options :

6406531505400. The probability of accepting the Null hypothesis when it is not true is called as
level of significance.

6406531505401. If the significance level of a test T is 0.1, then the power of the test T will be 0.9.

6406531505402. Type II error is the probability of accepting the Null hypothesis when it is not
true.

6406531505403. The probability of rejecting the Null hypothesis when it is true is called as level
of significance.

Sub-Section Number : 4

Sub-Section Id : 64065365137

Question Shuffling Allowed : Yes

Is Section Default? : null

Question Number : 22 Question Id : 640653452431 Question Type : MCQ Is Question

Mandatory : No Calculator : None Response Time : N.A Think Time : N.A Minimum Instruction
Time : 0

Correct Marks : 3

Question Label : Multiple Choice Question

Options :

6406531505404.

6406531505405.

6406531505406.

6406531505407.

Question Number : 23 Question Id : 640653452432 Question Type : MCQ Is Question

Mandatory : No Calculator : None Response Time : N.A Think Time : N.A Minimum Instruction
Time : 0

Correct Marks : 3

Question Label : Multiple Choice Question

Consider the following situations and match them with suitable test statistics and hypothesis tests:
Suppose we observe samples from a normal distribution, where the variance is unknown. We want
to check whether the mean is greater than μ. What test statistic and test can be applied for this
situation?

Options :

6406531505408.

6406531505409.

6406531505410.
6406531505411.

Sub-Section Number : 5

Sub-Section Id : 64065365138

Question Shuffling Allowed : No

Is Section Default? : null

Question Id : 640653452433 Question Type : COMPREHENSION Sub Question Shuffling

Allowed : No Group Comprehension Questions : No Question Pattern Type : NonMatrix
Calculator : None Response Time : N.A Think Time : N.A Minimum Instruction Time : 0

Question Numbers : (24 to 26)

Question Label : Comprehension

Based on the above data, answer the given subquestions.

Sub questions

Question Number : 24 Question Id : 640653452434 Question Type : SA Calculator : None

Response Time : N.A Think Time : N.A Minimum Instruction Time : 0

Correct Marks : 1

Question Label : Short Answer Question

Find the value of c.

Response Type : Numeric

Evaluation Required For SA : Yes

Show Word Count : Yes

Answers Type : Equal

Text Areas : PlainText

Possible Answers :

Question Number : 25 Question Id : 640653452435 Question Type : SA Calculator : None

Response Time : N.A Think Time : N.A Minimum Instruction Time : 0

Correct Marks : 1

Question Label : Short Answer Question

What is the probability that the unit temperature change is equal to 0.5?

Response Type : Numeric

Evaluation Required For SA : Yes

Show Word Count : Yes

Answers Type : Equal

Text Areas : PlainText

Possible Answers :

Question Number : 26 Question Id : 640653452436 Question Type : SA Calculator : None

Response Time : N.A Think Time : N.A Minimum Instruction Time : 0

Correct Marks : 3

Question Label : Short Answer Question

What is the probability that the unit pressure change during the chemical process is more than
0.5, given that the unit temperature change is equal to 0.5? Enter the answer correct to two
decimal places.

Response Type : Numeric

Evaluation Required For SA : Yes

Show Word Count : Yes

Answers Type : Range

Text Areas : PlainText

Possible Answers :

0.91 to 0.96

Question Id : 640653452437 Question Type : COMPREHENSION Sub Question Shuffling

Allowed : No Group Comprehension Questions : No Question Pattern Type : NonMatrix
Calculator : None Response Time : N.A Think Time : N.A Minimum Instruction Time : 0

Question Numbers : (27 to 29)

Question Label : Comprehension

Based on the above data, answer the given subquestions.

Sub questions

Question Number : 27 Question Id : 640653452438 Question Type : MCQ Is Question

Mandatory : No Calculator : None Response Time : N.A Think Time : N.A Minimum Instruction
Time : 0

Correct Marks : 1

Question Label : Multiple Choice Question

Options :

6406531505415. Yes

6406531505416. No
Question Number : 28 Question Id : 640653452439 Question Type : MCQ Is Question
Mandatory : No Calculator : None Response Time : N.A Think Time : N.A Minimum Instruction
Time : 0

Correct Marks : 2

Question Label : Multiple Choice Question

Assume θ is an unknown parameter. Find the maximum likelihood estimate of θ.

Options :

6406531505417.

6406531505418.

6406531505419.

6406531505420.

Question Number : 29 Question Id : 640653452440 Question Type : MCQ Is Question

Mandatory : No Calculator : None Response Time : N.A Think Time : N.A Minimum Instruction
Time : 0

Correct Marks : 2

Question Label : Multiple Choice Question

Consider θ as a random variable with prior distribution as Uniform [0,1]. Choose the correct
options from the following:

Options :

6406531505421.

6406531505422.

6406531505423.
6406531505424.

Question Id : 640653452441 Question Type : COMPREHENSION Sub Question Shuffling

Allowed : No Group Comprehension Questions : No Question Pattern Type : NonMatrix
Calculator : None Response Time : N.A Think Time : N.A Minimum Instruction Time : 0

Question Numbers : (30 to 31)

Question Label : Comprehension

We wish to estimate the probability p of getting the number four on a biased die using a Bayesian
estimator. Consider 10 independent throws and let X be the number of times four appears on the
die. Assume the prior distribution of p to be Beta(1, 1).

Based on the above data, answer the given subquestions.

Sub questions

Question Number : 30 Question Id : 640653452442 Question Type : MCQ Is Question

Mandatory : No Calculator : None Response Time : N.A Think Time : N.A Minimum Instruction
Time : 0

Correct Marks : 3

Question Label : Multiple Choice Question

Out of 10 throws, if four appeared a total of three times, find the posterior distribution of p .

Options :

6406531505425. Bernoulli(0.3)

6406531505426. Beta(4, 8)

6406531505427. Beta(3, 7)

6406531505428. Bernoulli(0.5)

Question Number : 31 Question Id : 640653452443 Question Type : SA Calculator : None

Response Time : N.A Think Time : N.A Minimum Instruction Time : 0

Correct Marks : 2

Question Label : Short Answer Question

Find the posterior mean using the given prior. Enter the answer correct to two decimal places.

Response Type : Numeric

Evaluation Required For SA : Yes

Show Word Count : Yes

Answers Type : Range

Text Areas : PlainText

Possible Answers :

0.32 to 0.34

Question Id : 640653452444 Question Type : COMPREHENSION Sub Question Shuffling

Allowed : No Group Comprehension Questions : No Question Pattern Type : NonMatrix
Calculator : None Response Time : N.A Think Time : N.A Minimum Instruction Time : 0

Question Numbers : (32 to 33)

Question Label : Comprehension

Based on the above data, answer the given subquestions.

Sub questions

Question Number : 32 Question Id : 640653452445 Question Type : SA Calculator : None

Response Time : N.A Think Time : N.A Minimum Instruction Time : 0

Correct Marks : 2

Question Label : Short Answer Question

Find the method of moments estimate of θ for the given sample. Enter the answer correct to one
decimal place.
Response Type : Numeric

Evaluation Required For SA : Yes

Show Word Count : Yes

Answers Type : Range

Text Areas : PlainText

Possible Answers :

1.7 to 1.9

Question Number : 33 Question Id : 640653452446 Question Type : SA Calculator : None

Response Time : N.A Think Time : N.A Minimum Instruction Time : 0

Correct Marks : 3

Question Label : Short Answer Question

Find the maximum likelihood estimate of θ for the given sample. Enter the answer correct to one
decimal place.

Response Type : Numeric

Evaluation Required For SA : Yes

Show Word Count : Yes

Answers Type : Range

Text Areas : PlainText

Possible Answers :

1.5 to 1.7

Question Id : 640653452447 Question Type : COMPREHENSION Sub Question Shuffling

Allowed : No Group Comprehension Questions : No Question Pattern Type : NonMatrix
Calculator : None Response Time : N.A Think Time : N.A Minimum Instruction Time : 0

Question Numbers : (34 to 35)

Question Label : Comprehension

An urn contains some blue balls and some red balls. Shalini claims that if a ball is picked randomly
from the urn, then the probability p that the ball will be blue is 0.2.
Suspecting that 0.2 is too high, Nandan decided to pick 10 balls randomly. If two or more blue
balls are picked out of those 10 balls, then he accepts Shalini’s claim or else he rejects it.
Based on the above data, answer the given subquestions.

Sub questions

Question Number : 34 Question Id : 640653452448 Question Type : MCQ Is Question

Mandatory : No Calculator : None Response Time : N.A Think Time : N.A Minimum Instruction
Time : 0

Correct Marks : 2

Question Label : Multiple Choice Question

Define null hypothesis and alternative hypothesis.

Options :

6406531505432.

6406531505433.

6406531505434.

6406531505435.

Question Number : 35 Question Id : 640653452449 Question Type : SA Calculator : None

Response Time : N.A Think Time : N.A Minimum Instruction Time : 0

Correct Marks : 3

Question Label : Short Answer Question

Find the significance level of the test. Enter the answer correct to three decimal places.

Response Type : Numeric

Evaluation Required For SA : Yes

Show Word Count : Yes

Answers Type : Range

Text Areas : PlainText

Possible Answers :
0.36 to 0.39

Sem2 Maths2
Section Id : 64065329349

Section Number : 3

Section type : Online

Mandatory or Optional : Mandatory

Number of Questions : 11

Number of Questions to be attempted : 11

Section Marks : 50

Display Number Panel : Yes

Group All Questions : No

Enable Mark as Answered Mark for Review and

Yes
Clear Response :

Maximum Instruction Time : 0

Sub-Section Number : 1

Sub-Section Id : 64065365139

Question Shuffling Allowed : No

Is Section Default? : null

Question Number : 36 Question Id : 640653452450 Question Type : MCQ Is Question

Mandatory : No Calculator : None Response Time : N.A Think Time : N.A Minimum Instruction
Time : 0

Correct Marks : 0

Question Label : Multiple Choice Question

THIS IS QUESTION PAPER FOR THE SUBJECT "FOUNDATION LEVEL: SEMESTER 2: MATHEMATICS
FOR DATA SCIENCE II"

ARE YOU SURE YOU HAVE TO WRITE EXAM FOR THIS SUBJECT?
 Sem2 Statistics2
Section Id : 64065329382

Section Number : 2

Section type : Online

Mandatory or Optional : Mandatory

Number of Questions : 12

Number of Questions to be attempted : 12

Section Marks : 40

Display Number Panel : Yes

Group All Questions : No

Enable Mark as Answered Mark for Review and

Yes
Clear Response :

Maximum Instruction Time : 0

Sub-Section Number : 1

Sub-Section Id : 64065365401

Question Shuffling Allowed : No

Is Section Default? : null

Question Number : 17 Question Id : 640653453525 Question Type : MCQ Is Question

Mandatory : No Calculator : None Response Time : N.A Think Time : N.A Minimum Instruction
Time : 0

Correct Marks : 0

Question Label : Multiple Choice Question

THIS IS QUESTION PAPER FOR THE SUBJECT "FOUNDATION LEVEL/DIRECT ENTRY DIPLOMA:
STATISTICS FOR DATA SCIENCE 2"

ARE YOU SURE YOU HAVE TO WRITE EXAM FOR THIS SUBJECT?
CROSS CHECK YOUR HALL TICKET TO CONFIRM THE SUBJECT TO BE WRITTEN.

(IF IT IS NOT THE CORRECT SUBJECT ,PLS CHECK THE SECTION AT THE TOP FOR THE SUBJECTS
REGISTERED BY YOU)

Options :

6406531508627. YES

6406531508628. NO

Question Number : 18 Question Id : 640653453526 Question Type : MCQ Is Question

Mandatory : No Calculator : None Response Time : N.A Think Time : N.A Minimum Instruction
Time : 0

Correct Marks : 0

Question Label : Multiple Choice Question

Options :

6406531508629. Useful Data has been mentioned above.

6406531508630. This data attachment is just for a reference & not for an evaluation.

Sub-Section Number : 2

Sub-Section Id : 64065365402

Question Shuffling Allowed : Yes

Is Section Default? : null

Question Number : 19 Question Id : 640653453527 Question Type : SA Calculator : None

Response Time : N.A Think Time : N.A Minimum Instruction Time : 0

Correct Marks : 3

Question Label : Short Answer Question

Response Type : Numeric

Evaluation Required For SA : Yes

Show Word Count : Yes

Answers Type : Range

Text Areas : PlainText

Possible Answers :

0.30 to 0.36

Question Number : 20 Question Id : 640653453528 Question Type : SA Calculator : None

Response Time : N.A Think Time : N.A Minimum Instruction Time : 0

Correct Marks : 3

Question Label : Short Answer Question

Response Type : Numeric

Evaluation Required For SA : Yes

Show Word Count : Yes

Answers Type : Range

Text Areas : PlainText

Possible Answers :

0.10 to 0.14

Sub-Section Number : 3

Sub-Section Id : 64065365403

Question Shuffling Allowed : Yes

Is Section Default? : null

Question Number : 21 Question Id : 640653453529 Question Type : MSQ Is Question

Mandatory : No Calculator : None Response Time : N.A Think Time : N.A Minimum Instruction
Time : 0

Correct Marks : 3 Selectable Option : 0

Question Label : Multiple Select Question

Which of the following statements are correct?

Options :

6406531508633. The probability of accepting the Null hypothesis when it is not true is called as
level of significance.

6406531508634. If the significance level of a test T is 0.1, then the power of the test T will be 0.9.

6406531508635. Type II error is the probability of accepting the Null hypothesis when it is not
true.

6406531508636. The probability of rejecting the Null hypothesis when it is true is called as level
of significance.

Sub-Section Number : 4

Sub-Section Id : 64065365404

Question Shuffling Allowed : Yes

Is Section Default? : null

Question Number : 22 Question Id : 640653453530 Question Type : MCQ Is Question

Mandatory : No Calculator : None Response Time : N.A Think Time : N.A Minimum Instruction
Time : 0

Correct Marks : 3

Question Label : Multiple Choice Question

Options :

6406531508637.

6406531508638.

6406531508639.

6406531508640.

Question Number : 23 Question Id : 640653453531 Question Type : MCQ Is Question

Mandatory : No Calculator : None Response Time : N.A Think Time : N.A Minimum Instruction
Time : 0

Correct Marks : 3

Question Label : Multiple Choice Question

Consider the following situations and match them with suitable test statistics and hypothesis tests:
Suppose we observe samples from a normal distribution, where the variance is known. We want to
check whether the mean is greater than μ. What test statistic and test can be applied for this
situation?

Options :

6406531508641.

6406531508642.

6406531508643.
6406531508644.

Sub-Section Number : 5

Sub-Section Id : 64065365405

Question Shuffling Allowed : No

Is Section Default? : null

Question Id : 640653453532 Question Type : COMPREHENSION Sub Question Shuffling

Allowed : No Group Comprehension Questions : No Question Pattern Type : NonMatrix
Calculator : None Response Time : N.A Think Time : N.A Minimum Instruction Time : 0

Question Numbers : (24 to 26)

Question Label : Comprehension

Based on the above data, answer the given subquestions.

Sub questions

Question Number : 24 Question Id : 640653453533 Question Type : SA Calculator : None

Response Time : N.A Think Time : N.A Minimum Instruction Time : 0

Correct Marks : 1

Question Label : Short Answer Question

Find the value of c.Enter the answer correct to two decimal places.

Response Type : Numeric

Evaluation Required For SA : Yes

Show Word Count : Yes

Answers Type : Equal

Text Areas : PlainText

Possible Answers :

0.25

Question Number : 25 Question Id : 640653453534 Question Type : SA Calculator : None

Response Time : N.A Think Time : N.A Minimum Instruction Time : 0

Correct Marks : 1

Question Label : Short Answer Question

What is the probability that the unit temperature change is equal to 0.5?

Response Type : Numeric

Evaluation Required For SA : Yes

Show Word Count : Yes

Answers Type : Equal

Text Areas : PlainText

Possible Answers :

Question Number : 26 Question Id : 640653453535 Question Type : SA Calculator : None

Response Time : N.A Think Time : N.A Minimum Instruction Time : 0

Correct Marks : 3

Question Label : Short Answer Question

What is the probability that the unit pressure change during the chemical process is more than
0.5, given that the unit temperature change is equal to 0.5? Enter the answer correct to two
decimal places.

Response Type : Numeric

Evaluation Required For SA : Yes

Show Word Count : Yes

Answers Type : Range

Text Areas : PlainText

Possible Answers :

0.91 to 0.96

Question Id : 640653453536 Question Type : COMPREHENSION Sub Question Shuffling

Allowed : No Group Comprehension Questions : No Question Pattern Type : NonMatrix
Calculator : None Response Time : N.A Think Time : N.A Minimum Instruction Time : 0

Question Numbers : (27 to 29)

Question Label : Comprehension

Based on the above data, answer the given subquestions.

Sub questions

Question Number : 27 Question Id : 640653453537 Question Type : MCQ Is Question

Mandatory : No Calculator : None Response Time : N.A Think Time : N.A Minimum Instruction
Time : 0

Correct Marks : 1

Question Label : Multiple Choice Question

Options :

6406531508648. Yes

6406531508649. No

Question Number : 28 Question Id : 640653453538 Question Type : MCQ Is Question

Mandatory : No Calculator : None Response Time : N.A Think Time : N.A Minimum Instruction
Time : 0

Correct Marks : 2
Question Label : Multiple Choice Question

Assume θ is an unknown parameter. Find the maximum likelihood estimate of θ.

Options :

6406531508650.

6406531508651.

6406531508652.

6406531508653.

Question Number : 29 Question Id : 640653453539 Question Type : MCQ Is Question

Mandatory : No Calculator : None Response Time : N.A Think Time : N.A Minimum Instruction
Time : 0

Correct Marks : 2

Question Label : Multiple Choice Question

Consider θ as a random variable with prior distribution as Uniform [0,1]. Choose the correct
options from the following:

Options :

6406531508654.

6406531508655.

6406531508656.

6406531508657.
Question Id : 640653453540 Question Type : COMPREHENSION Sub Question Shuffling
Allowed : No Group Comprehension Questions : No Question Pattern Type : NonMatrix
Calculator : None Response Time : N.A Think Time : N.A Minimum Instruction Time : 0

Question Numbers : (30 to 31)

Question Label : Comprehension

We wish to estimate the probability p of getting the number four on a biased die using a Bayesian
estimator. Consider 10 independent throws and let X be the number of times four appears on the
die. Assume the prior distribution of p to be Beta(1, 1).

Based on the above data, answer the given subquestions.

Sub questions

Question Number : 30 Question Id : 640653453541 Question Type : MCQ Is Question

Mandatory : No Calculator : None Response Time : N.A Think Time : N.A Minimum Instruction
Time : 0

Correct Marks : 3

Question Label : Multiple Choice Question

Out of 10 throws, if four appeared a total of five times, find the posterior distribution of p .

Options :

6406531508658. Bernoulli(0.4)

6406531508659. Beta(4, 4)

6406531508660. Beta(6, 6)

6406531508661. Bernoulli(0.6)

Question Number : 31 Question Id : 640653453542 Question Type : SA Calculator : None

Response Time : N.A Think Time : N.A Minimum Instruction Time : 0

Correct Marks : 2

Question Label : Short Answer Question

Find the posterior mean using the given prior. Enter the answer correct to one decimal place.
Response Type : Numeric

Evaluation Required For SA : Yes

Show Word Count : Yes

Answers Type : Range

Text Areas : PlainText

Possible Answers :

0.4 to 0.6

Question Id : 640653453543 Question Type : COMPREHENSION Sub Question Shuffling

Allowed : No Group Comprehension Questions : No Question Pattern Type : NonMatrix
Calculator : None Response Time : N.A Think Time : N.A Minimum Instruction Time : 0

Question Numbers : (32 to 33)

Question Label : Comprehension

Based on the above data, answer the given subquestions.

Sub questions

Question Number : 32 Question Id : 640653453544 Question Type : SA Calculator : None

Response Time : N.A Think Time : N.A Minimum Instruction Time : 0

Correct Marks : 2

Question Label : Short Answer Question

Find the method of moments estimate of θ for the given sample. Enter the answer correct to one
decimal place.

Response Type : Numeric

Evaluation Required For SA : Yes

Show Word Count : Yes

Answers Type : Range

Text Areas : PlainText

Possible Answers :

1.1 to 1.3

Question Number : 33 Question Id : 640653453545 Question Type : SA Calculator : None

Response Time : N.A Think Time : N.A Minimum Instruction Time : 0

Correct Marks : 3

Question Label : Short Answer Question

Find the maximum likelihood estimate of θ for the given sample. Enter the answer correct to one
decimal place.

Response Type : Numeric

Evaluation Required For SA : Yes

Show Word Count : Yes

Answers Type : Range

Text Areas : PlainText

Possible Answers :

1.3 to 1.5

Question Id : 640653453546 Question Type : COMPREHENSION Sub Question Shuffling

Allowed : No Group Comprehension Questions : No Question Pattern Type : NonMatrix
Calculator : None Response Time : N.A Think Time : N.A Minimum Instruction Time : 0

Question Numbers : (34 to 35)

Question Label : Comprehension

An urn contains some blue balls and some red balls. Shalini claims that if a ball is picked randomly
from the urn, then the probability p that the ball will be blue is 0.2. Suspecting that 0.2 is too high,
Nandan decided to pick 10 balls randomly. If two or more blue balls are picked out of those 10
balls, then he accepts Shalini’s claim or else he rejects it.

Based on the above data, answer the given subquestions.

Sub questions
Question Number : 34 Question Id : 640653453547 Question Type : MCQ Is Question
Mandatory : No Calculator : None Response Time : N.A Think Time : N.A Minimum Instruction
Time : 0

Correct Marks : 2

Question Label : Multiple Choice Question

Define null hypothesis and alternative hypothesis.

Options :

6406531508665.

6406531508666.

6406531508667.

6406531508668.

Question Number : 35 Question Id : 640653453548 Question Type : SA Calculator : None

Response Time : N.A Think Time : N.A Minimum Instruction Time : 0

Correct Marks : 3

Question Label : Short Answer Question

Find the significance level of the test. Enter the answer correct to three decimal places.

Response Type : Numeric

Evaluation Required For SA : Yes

Show Word Count : Yes

Answers Type : Range

Text Areas : PlainText

Possible Answers :

0.36 to 0.39
 Sem2 Maths2
Section Id : 64065329383

Section Number : 3

Section type : Online

Mandatory or Optional : Mandatory

Number of Questions : 11

Number of Questions to be attempted : 11

Section Marks : 50

Display Number Panel : Yes

Group All Questions : No

Enable Mark as Answered Mark for Review and

Yes
Clear Response :

Maximum Instruction Time : 0

Sub-Section Number : 1

Sub-Section Id : 64065365406

Question Shuffling Allowed : No

Is Section Default? : null

Question Number : 36 Question Id : 640653453549 Question Type : MCQ Is Question

Mandatory : No Calculator : None Response Time : N.A Think Time : N.A Minimum Instruction
Time : 0

Correct Marks : 0

Question Label : Multiple Choice Question

THIS IS QUESTION PAPER FOR THE SUBJECT "FOUNDATION LEVEL/DIRECT ENTRY DIPLOMA:
MATHEMATICS FOR DATA SCIENCE 2"

ARE YOU SURE YOU HAVE TO WRITE EXAM FOR THIS SUBJECT ?
CROSS CHECK YOUR HALL TICKET TO CONFIRM THE SUBJECT TO BE WRITTEN.

(IF IT IS NOT THE CORRECT SUBJECT , PLS CHECK THE SECTION AT THE TOP FOR THE SUBJECTS
REGISTERED BY YOU)
Correct Marks : 2

Question Label : Multiple Select Question

Choose the correct options about the matrix B.

Options :

6406531193759.

6406531193760.

6406531193761.

6406531193762.

Question Number : 172 Question Id : 640653360400 Question Type : SA Calculator : None

Response Time : N.A Think Time : N.A Minimum Instruction Time : 0

Correct Marks : 2

Question Label : Short Answer Question

Response Type : Numeric

Evaluation Required For SA : Yes

Show Word Count : Yes

Answers Type : Equal

Text Areas : PlainText

Possible Answers :

Sem2 Stats2
Section Id : 64065322447

Section Number : 5

Section type : Online

Mandatory or Optional : Mandatory

Number of Questions : 12

Number of Questions to be attempted : 12

Section Marks : 40

Display Number Panel : Yes

Group All Questions : No

Enable Mark as Answered Mark for Review and

Yes
Clear Response :

Maximum Instruction Time : 0

Sub-Section Number : 1

Sub-Section Id : 64065352566

Question Shuffling Allowed : No

Question Number : 173 Question Id : 640653360406 Question Type : MCQ Is Question

Mandatory : No Calculator : None Response Time : N.A Think Time : N.A Minimum Instruction
Time : 0

Correct Marks : 0

Question Label : Multiple Choice Question

Options :

6406531193778. Yes

6406531193779. No

Question Number : 174 Question Id : 640653360407 Question Type : MCQ Is Question

Mandatory : No Calculator : None Response Time : N.A Think Time : N.A Minimum Instruction
Time : 0

Correct Marks : 0

Question Label : Multiple Choice Question

Options :

6406531193780. Useful Data has been mentioned above.

6406531193781. This data attachment is just for a reference & not for an evaluation.

Sub-Section Number : 2

Sub-Section Id : 64065352567

Question Shuffling Allowed : Yes

Question Number : 175 Question Id : 640653360415 Question Type : MCQ Is Question
Mandatory : No Calculator : None Response Time : N.A Think Time : N.A Minimum Instruction
Time : 0

Correct Marks : 2

Question Label : Multiple Choice Question

Options :

6406531193793. Yes

6406531193794. No

Sub-Section Number : 3

Sub-Section Id : 64065352568

Question Shuffling Allowed : Yes

Question Number : 176 Question Id : 640653360416 Question Type : MSQ Is Question

Mandatory : No Calculator : None Response Time : N.A Think Time : N.A Minimum Instruction
Time : 0

Correct Marks : 2

Question Label : Multiple Select Question

Options :

6406531193795.

6406531193796.

6406531193797.

6406531193798.
Sub-Section Number : 4

Sub-Section Id : 64065352569

Question Shuffling Allowed : Yes

Question Number : 177 Question Id : 640653360426 Question Type : MSQ Is Question

Mandatory : No Calculator : None Response Time : N.A Think Time : N.A Minimum Instruction
Time : 0

Correct Marks : 3

Question Label : Multiple Select Question

The standard deviation of the length of bolts manufactured by a machine was 1 mm. A new
machine with a supposedly lesser standard deviation is installed. A random sample of 100 bolts
from the new machine showed a standard deviation of 0.5 mm. Based on this data, what is your
conclusion at a significance level of 0.05, on the standard deviation of length of bolts
manufactured by the new machine? Choose the correct options from the following (Select all that
apply):

Options :

6406531193812.

6406531193813.

6406531193814.

6406531193815.

6406531193816.

6406531193817.

6406531193818.
6406531193819.

6406531193820.

6406531193821.

6406531193822.

6406531193823.

Sub-Section Number : 5

Sub-Section Id : 64065352570

Question Shuffling Allowed : Yes

Question Number : 178 Question Id : 640653360417 Question Type : SA Calculator : None

Response Time : N.A Think Time : N.A Minimum Instruction Time : 0

Correct Marks : 4

Question Label : Short Answer Question

The average life of a battery is 4 years, with a standard deviation of 1 year. Assuming that the lives
of the batteries follow approximately a normal distribution, find the probability that the mean life
of a random sample of 30 such batteries falls between 3.8 and 4.2 years. Enter your answer correct
to two decimal places.

Response Type : Numeric

Evaluation Required For SA : Yes

Show Word Count : Yes

Answers Type : Range

Text Areas : PlainText

Possible Answers :

0.70 to 0.74

Sub-Section Number : 6
Sub-Section Id : 64065352571

Question Shuffling Allowed : No

Question Id : 640653360408 Question Type : COMPREHENSION Sub Question Shuffling

Allowed : No Group Comprehension Questions : No Calculator : None Response Time : N.A
Think Time : N.A Minimum Instruction Time : 0

Question Numbers : (179 to 180)

Question Label : Comprehension

Based on the above data, answer the given subquestions.

Sub questions

Question Number : 179 Question Id : 640653360409 Question Type : MSQ Is Question

Mandatory : No Calculator : None Response Time : N.A Think Time : N.A Minimum Instruction
Time : 0

Correct Marks : 2

Question Label : Multiple Select Question

Choose the correct option(s) from the following (TX refers to the values taken by a random variable
X):

Options :

6406531193782.

6406531193783.

6406531193784.
6406531193785.

Question Number : 180 Question Id : 640653360410 Question Type : SA Calculator : None

Response Time : N.A Think Time : N.A Minimum Instruction Time : 0

Correct Marks : 1

Question Label : Short Answer Question

Calculate P(X1 = 0, X2 = 1 | X3 = 1).

Note: Enter the answer correct to one decimal place.

Response Type : Numeric

Evaluation Required For SA : Yes

Show Word Count : Yes

Answers Type : Equal

Text Areas : PlainText

Possible Answers :

0.5

Sub-Section Number : 7

Sub-Section Id : 64065352572

Question Shuffling Allowed : No

Question Id : 640653360411 Question Type : COMPREHENSION Sub Question Shuffling

Allowed : No Group Comprehension Questions : No Calculator : None Response Time : N.A
Think Time : N.A Minimum Instruction Time : 0

Question Numbers : (181 to 183)

Question Label : Comprehension

Based on the above data, answer the given subquestions.

Sub questions

Question Number : 181 Question Id : 640653360412 Question Type : MCQ Is Question

Mandatory : No Calculator : None Response Time : N.A Think Time : N.A Minimum Instruction
Time : 0

Correct Marks : 2

Question Label : Multiple Choice Question

Find the marginal distribution of Y .

Options :

6406531193787.

6406531193788.

6406531193789.

6406531193790.

Question Number : 182 Question Id : 640653360413 Question Type : SA Calculator : None

Response Time : N.A Think Time : N.A Minimum Instruction Time : 0

Correct Marks : 2

Question Label : Short Answer Question

Compute E[Y ].

Note: Enter the answer correct to two decimal places.

Response Type : Numeric

Evaluation Required For SA : Yes

Show Word Count : Yes

Answers Type : Range

Text Areas : PlainText

Possible Answers :

0.65 to 0.68

Question Number : 183 Question Id : 640653360414 Question Type : SA Calculator : None

Response Time : N.A Think Time : N.A Minimum Instruction Time : 0

Correct Marks : 1

Question Label : Short Answer Question

Compute E[Y | X = 0.5].

Note: Enter the answer correct to two decimal places.

Response Type : Numeric

Evaluation Required For SA : Yes

Show Word Count : Yes

Answers Type : Range

Text Areas : PlainText

Possible Answers :

0.65 to 0.68

Question Id : 640653360427 Question Type : COMPREHENSION Sub Question Shuffling

Allowed : No Group Comprehension Questions : No Calculator : None Response Time : N.A
Think Time : N.A Minimum Instruction Time : 0

Question Numbers : (184 to 185)

Question Label : Comprehension

Suppose the number of deceased people in a week because of a deadly disease in a country has
the Poisson(λ) distribution. A researcher wants to estimate λ. From studies in other countries, prior
mean should be 3, and the prior standard deviation 1. He decides to use the Gamma(α, β) prior
that matches his prior mean and standard deviation. The number of deceased people recorded
over the next 10 weeks are: 3, 5, 7, 0, 1, 7, 4, 9, 6, 4.

Based on the above data, answer the given subquestions.

Sub questions

Question Number : 184 Question Id : 640653360428 Question Type : MCQ Is Question

Mandatory : No Calculator : None Response Time : N.A Think Time : N.A Minimum Instruction
Time : 0

Correct Marks : 2

Question Label : Multiple Choice Question

Find the value of α and β.

Options :

6406531193824. α = 3, β = 3

6406531193825. α = 9, β = 9

6406531193826. α = 3, β = 9

6406531193827. α = 9, β = 3

Question Number : 185 Question Id : 640653360429 Question Type : SA Calculator : None

Response Time : N.A Think Time : N.A Minimum Instruction Time : 0

Correct Marks : 3

Question Label : Short Answer Question

Find the posterior mean of λ for the given sample. Enter the answer correct to two decimal places.

Response Type : Numeric

Evaluation Required For SA : Yes

Show Word Count : Yes

Answers Type : Range

Text Areas : PlainText

Possible Answers :

4.21 to 4.25

Sub-Section Number : 8
Sub-Section Id : 64065352573

Question Shuffling Allowed : No

Question Id : 640653360418 Question Type : COMPREHENSION Sub Question Shuffling

Allowed : No Group Comprehension Questions : No Calculator : None Response Time : N.A
Think Time : N.A Minimum Instruction Time : 0

Question Numbers : (186 to 188)

Question Label : Comprehension

The time (in minutes) required to repair electronic gadgets by an electrician is an exponential
random variable with unknown parameter λ. Consider a sample (in minutes)
10, 11, 25, 1, 4, 5, 8, 35, 14, 15 from his previous repairing time.

Based on the above data, answer the given subquestions.

Sub questions

Question Number : 186 Question Id : 640653360419 Question Type : SA Calculator : None

Response Time : N.A Think Time : N.A Minimum Instruction Time : 0

Correct Marks : 2

Question Label : Short Answer Question

Find the method of moments estimate of λ for the given sample. (Enter the answer correct to
three decimal places.)

Response Type : Numeric

Evaluation Required For SA : Yes

Show Word Count : Yes

Answers Type : Range

Text Areas : PlainText

Possible Answers :

0.070 to 0.085

Question Number : 187 Question Id : 640653360420 Question Type : SA Calculator : None

Response Time : N.A Think Time : N.A Minimum Instruction Time : 0
Correct Marks : 2

Question Label : Short Answer Question

Find the maximum likelihood estimate of λ for the given sample. (Enter the answer correct to
three decimal places.)

Response Type : Numeric

Evaluation Required For SA : Yes

Show Word Count : Yes

Answers Type : Range

Text Areas : PlainText

Possible Answers :

0.070 to 0.085

Question Number : 188 Question Id : 640653360421 Question Type : SA Calculator : None

Response Time : N.A Think Time : N.A Minimum Instruction Time : 0

Correct Marks : 2

Question Label : Short Answer Question

Using a Uniform[0,1] prior, find the posterior mean of the given sample. (Enter the answer correct
to three decimal places)

Response Type : Numeric

Evaluation Required For SA : Yes

Show Word Count : Yes

Answers Type : Range

Text Areas : PlainText

Possible Answers :

0.080 to 0.090

Question Id : 640653360422 Question Type : COMPREHENSION Sub Question Shuffling

Allowed : No Group Comprehension Questions : No Calculator : None Response Time : N.A
Think Time : N.A Minimum Instruction Time : 0

Question Numbers : (189 to 191)

Question Label : Comprehension

Suppose a principal states that the students studying in her school have an average IQ score equal
to 98.5. A reporter suspects that the average may be lower, possibly 98 and took a sample of 100
random students from the school and observed the average IQ score to be 98.29. Assume the IQ
scores of the students are normally distributed with standard deviation 1.2.

Based on the above data, answer the given subquestions.

Sub questions

Question Number : 189 Question Id : 640653360423 Question Type : MCQ Is Question

Mandatory : No Calculator : None Response Time : N.A Think Time : N.A Minimum Instruction
Time : 0

Correct Marks : 1

Question Label : Multiple Choice Question

Define null hypothesis and alternative hypothesis.

Options :

6406531193803.

6406531193804.

6406531193805.

6406531193806.

Question Number : 190 Question Id : 640653360424 Question Type : SA Calculator : None

Response Time : N.A Think Time : N.A Minimum Instruction Time : 0

Correct Marks : 2

Question Label : Short Answer Question

Find the P -value. Enter the answer correct to two decimal places.
Response Type : Numeric

Evaluation Required For SA : Yes

Show Word Count : Yes

Answers Type : Equal

Text Areas : PlainText

Possible Answers :

0.04

Question Number : 191 Question Id : 640653360425 Question Type : MSQ Is Question

Mandatory : No Calculator : None Response Time : N.A Think Time : N.A Minimum Instruction
Time : 0

Correct Marks : 3

Question Label : Multiple Select Question

Choose the set of correct options.

Options :

6406531193808.

6406531193809.

6406531193810.

6406531193811.

Sub-Section Number : 9

Sub-Section Id : 64065352574

Question Shuffling Allowed : No

Question Id : 640653360430 Question Type : COMPREHENSION Sub Question Shuffling

Allowed : No Group Comprehension Questions : No Calculator : None Response Time : N.A
Think Time : N.A Minimum Instruction Time : 0
Question Numbers : (192 to 193)

Question Label : Comprehension

Answer the given subquestions.

Sub questions

Question Number : 192 Question Id : 640653360431 Question Type : SA Calculator : None

Response Time : N.A Think Time : N.A Minimum Instruction Time : 0

Correct Marks : 4

Question Label : Short Answer Question

Response Type : Numeric

Evaluation Required For SA : Yes

Show Word Count : Yes

Answers Type : Range

Text Areas : PlainText

Possible Answers :

0.015 to 0.025

Question Number : 193 Question Id : 640653360432 Question Type : MSQ Is Question

Mandatory : No Calculator : None Response Time : N.A Think Time : N.A Minimum Instruction
Time : 0

Correct Marks : 0

Question Label : Multiple Select Question

Select the steps from the following options, that you will use for finding the P- value in the
previous question.
Note: This question is optional. We will check your answer to this question if you make a mistake
in the previous one.

Options :

6406531193830.

6406531193831.

6406531193832.

6406531193833.

6406531193834.

6406531193835.

6406531193836.

6406531193837.

6406531193838.

6406531193839.

6406531193840.

6406531193841.
 App dev1
Section Id : 64065322448

Section Number : 6

Section type : Online

Mandatory or Optional : Mandatory

Number of Questions : 31

Number of Questions to be attempted : 31

Section Marks : 100

Display Number Panel : Yes

Group All Questions : No

Enable Mark as Answered Mark for Review and

Yes
Clear Response :

Maximum Instruction Time : 0

Sub-Section Number : 1

Sub-Section Id : 64065352575

Question Shuffling Allowed : No

Question Number : 194 Question Id : 640653360433 Question Type : MCQ Is Question

Mandatory : No Calculator : None Response Time : N.A Think Time : N.A Minimum Instruction
Time : 0

Correct Marks : 0

Question Label : Multiple Choice Question

Options :

6406531193842. Yes