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Reg. No. : ................................
Name : .....................................
Second Semester M.Com. Degree Examination, August 2017
Paper - Ill : CO 223 : QUANTITATIVE TECHNIQUES
(2014 Admission)
Time : 3 Hours Max. Marks : 75
SECTION-A
(Answer the following questions in two or three sentences. Each question carries
2 marks.) (2x10=20 Marks)
1. Define binomial distribution.
ks) ·2. What is the drawback of point estimates ?
3. Explain the characteristics of normal distribution.
4. What is critical value ?
5. D_efine statistical quality control.
6. What is mean ? .
7. Briefly write about the statistical tools available in SPSS.
8. What are the different types of graphs available in SPSS ?
9. What is Poisson distribution ?
10. What is interval estimate ?
SECTION-8
(Answer any five of the following questions.) (5x5=25 Marks)
11. Mr. Gupta applies for a personal loan of Rs. 1,50,000 from a nationalized bank to
repair his house. The loan offer informed him tha1 over the y·ears, bank has
received about 2920 loan applications per year and that the probability of approval
was, on_average above 0.85
a) Mr. Gupta wants to know the average and standard deviation of the number of
loans approved per year.
b) Suppose bank actually received 2654 loan applications per year with an
approval probability of 0.82. What are the mean and standard deviation now ?
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12. Expla in the characteristic of Normal Distribution.
13. Out of 20000 customer's ledger accounts sampre of 600 accounts was taken to
test the accura cy of posting and balancing wherein 45 mistakes were found.
Assign limits within which the number of defective cases can be expected at 95
per cent level of confidence.
14. 200 digits are chosen at random from a set of tables . The frequencies of the
digits are as follows :
Digit : 0 1 2 3 4 5 6 7 8 9
'
Frequency: 18 19 23 21 16 25 22 20 21 15
Use the x (chi-square) test to assess the corrections of the hypothesis that the
2
digits were distributed in equal numbers in the tables from which they were
chosen.
15. What are the limitations of Statistical Quality Control ?
16. The mean of binomial distribution is 40 and the standard deviation is 6. Calcu late
n, p and q.
17. A random sample of 50 sales invoices was taken from a large popul'ation of sales
invoices. The average value was found to be Rs. 2,000 with a standard deviation
of Rs. 5~0. Find a 90 per cent confidence interval for the true mean value of all
the sales.
18. Give a brief notes on the features of SPSS .
SECTJON-C
(Answer any two of the following questions.) (2x15=30 Mari
19. The personnel department of an organization would like to estimate the family
~ental expenses of its employees to determine the feasibility of providing a dental
insurance plan a random sample of 1Oemployees reveals the following family
dental expenses in the previous year : 11 , 37, 25, 62, 51, 21, 18, 43, 32, 20.
Set up a 99 per cent confidence interval of the average family dental expenses
for the employees of this organization.
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20. To test the desirability of a certain modification in typist's desks, 9 typists were
given two tests of almost same nature, one on the desk in use and the other on
the new type.
The following differences in the number of words typed per minute were recorded :
Typists : A B C D E F G H I
Increase in no. of words : 2 4 O 3 - 1 4 - 3 2 5
Do the data indicate that the modification in desk increases typing speed ?
21. A researcher wants to know whether the performance of the company belonging
to the automobile sector is independent of the location of the company. He
developed a measure of performance on a nominal scale from 1 to 3.
1-Representing loss 2-breakeven and 3-profit. The location of the firm was put in
one of the two categories -1 representing low and 2-representing high income
countries. The data on these two variables, collected for 45 corporations for a
particular year. After using the Chi-square test in SPSS the output is as fallows :
Asymp. Sig.
Values df
(2-sided)
Pearson Chi-square 1.190 2 .ss2 ·
Valid cases 45
You are asked to draw a flow chart to get the Chi-square values in SPSS and
give your conclusion based on the above SPSS output ?
22. Explain the advantages of non-parametric methods.
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(Pages : 3)
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Reg. No. : ..................
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Name : .... •· •···· ··· ··· ······ ···
.Com . D egree Exam ination , October 2018
Second Semester M NTITA TIVE TECHNIQUES
: C O 223 : QU A
Paper - Ill ards)
(2014 Admission Onw
Max. Marks : 75
Ti me : 3 Hours
SECTION - A
three sentenc~ s. Each question carries
~t~ estions in two or
Answer the following qu . (2x10=20 Marks)
2 marks.
Wha t is a standa rd no rmal distribution ?
1.
twee n Po int estimate and Interval estimate.
2. Disti nguish be
OVA.
3. Explain the term AN
r?
4. What is standard erro
test.
5. Write a note on Run
uality Control ?
6. What is Statistical Q
ey U Test.
7. Explain Mann-Whitn
art ?
8. What is a control ch
t do you mea n by St udent's T Distribution ?
9. Wha
SPSS.
10. Write a brief note on
SECTION- 8
(5x5=25 Marks)
following questions.
Answer any five of the ques
quality cont ro l to which the statistical techni
types of
11 . Discuss the various
are applied.
ound a
00 0 em ploy ee s ar e normally distributed ar
e of 1, of
12. The monthly incom rd de viat io n of Rs. 250. Find the number
a standa
mean of Rs. 2,500 with income would be :
oyee s whose m on thly
empl
3,000
a) .between 2,000 and
b) less than 2,000
c) more than 3,000
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13. From a sample 01900 students, the standard deviation o1 height was claculate \ 11111
to be 5 ems. From this, can we conclude with almost certainty (99.73% leve~
that the standard deviation of population would be 4 ems ? ~1.
14. A certain stimulus administered to each of the 12 patients resulted in th
following increase of blood pressure 5, 2, 8, - 1, 3, 0, - 2, 1, 5, 0, 4, 6. Can it be
concluded that the stimulus will , in general be accompani ed by an increase i~
blood pressure ? ·
15. What is a normal distribution ? Briefly explain the properties of norrnai
distribution ?
16. In a sample of 400 items from a consignment, 40 were considered to be
defective. Estimate the percentage of defective items in the whole consignmen t
and assign the limits within which the percentage will probably lie.
17 . .In a biscuit factory , quality control is exercised with the help of mean chart~ 2~
1O samples of 5 items each were taken at random and the total of their means
and standard deviations were arrived-at 150 and 9 ·respectively.
Construct the mean chart from the above particulars, given that A1=1.596
18. Explain the various statistical tools used in SPSS.
SECTION -C
Answer any two of the following questions. (2x15=30 Man
19. What are non parametric tests? Explain the different types of non parametric
tests used in testing hypothesis.
20. The following table gives the yield of three varieties.
Varieties Yields
1 30 27 42
2 51 47 37 48 42
3 44 35 41 36
Perform an analysis of variance on this data.
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21. From the adult population of four large cities, random samples were selected
and the number of married and unmarried men was recorded.
Cities
A B C D Total
Married 137 164 152 147 600
Single 32 57 56 35 180
Total 169 221 208 182 780
Is there significant variation among the cities in the tendency of men to marry?
•
l 22. The weights of a sample of 7 goats taking peepul leaves were :
1
S 17, 15, 20, 18, 14, 16and 19kg.
The weights of another sample of 9 goats taking pomegranate leaves were :
18, 16, 21 , 19, 15, 19, 22, 21 and 20 kg
From these data, test the hypothesis at 1% significance level that pomegranate . ·
leaves are better than peepul leaves in improving the weights of goats.
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111 {
~eg No. : ........................ .... ·
· ....··············· ·······"· ····
'.1ame ...
Seme ster M.Com. De gree Exam ination, Novery, be r 2018
second
(SO E)
ATIVE TECHNIQUES
Paper -111 : co 223 : QUAN TIT
(2017 Admi ssion)
• Max. Marks : 75
rtL nm e : 3 Hours SE CTION - A
"')
o or three sentences . Each question carries
Answer the following questions in tw
two marks .
1. Describe SPSS .
2. What is parametric test ?
?
3. What are the uses of 'np ' chart
4. Describe ordinal scale.
or ?
'ks) 5. What is meant by type 11 err
6. Describe 'label' in SPSS.
d' in ANOVA ?
7. What is meant by 'coding metho
8. What is meant by a standard
normal variate ?
ltiple correlation ?
9. What do you understand by mu
? (1 0x2=20 Marks)
10. What is reliability and validity
SE CT IO N- 8
estions.
An swer any five of the following qu
rties of binomial distribution.
11. Describe the important prope
normal distribution.
12. Expla in the method of fitting
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F - 137 5
o· t nguish between one ta,.,ed and two taHed test.
13 ,s ' . . d rl by two mac hine s per day are 1tr I
The average number of arti~le~ rro uc;n
14 . and 450 with standard dev,at,ons
d 45 respectivefy on the basis • I
;~ th the ma chin es equ ally efficient ~~
50 day 's production . Can you regar o
.
. currence of 5 or 6 is con side red as
15. 4 dice are thrown 162 t1h,mr ewss. dT~ey~~
success In now many O expect i) exactly 2 success ii) at lea~
1
one suc ces s?
. h
16 A stenograp~er cl~ t thf1f es~s
an take dict atio ns at the rate of 12(.
cgiv average ~
.
~;;~:J; 1 en she cou ld
;~u !e~ tan da ~ deviation of 40. Is her clai
pre form
m vali d ?
an
b' m·ai distribution consisting of five ind
1 epe nde nt tria ls firs t and seconc
17. t;~s'~~e .~.409 6 and .204 8 respectively. Fin d the
par am ete r p.
In a sample of 1o observations of item s
18 the sum of the squared de_viations
of items from the mean was 101 .7. rn ano
the r sample of _a o~s~,:vat,ons the
value was found to be 94.5. Tes t whethe
r, the difference ,s s1gmf1cant at
5% level. 5 2 (Sx = 5 Mi
SECTION - C
Answer any twp of the follo wing.
19. The following tab le gives the number of
unit s produced per day by two workers
A and B for a number of days .
.A : 40 30 38 41 38 35
B ; 39 38 41 33 32 39 40 34
Should these results be accepted as evidenc
e that the two workers are
equ aff y good ?
20. The wee kly wages of 1000 workers are nor
mally distributed around a mean ol
Rs. 70 and with a standard deviation of Rs. 5. Est
ima
whose weekly wages will be between Rs. 70 and te the number of workers
lowest wages of the 100 highest paid workers.
Rs. 72. Also estimate the
1. The mean yield of 1000 normally distributed
plots of corn was 20.50 kg per
plot. It was observed that 200 of the plots yielde
standard deviation of the yield. d 17.75 kg or less. Estimate
Describe in detail the properties of normal dis
tribution. (15x2=30 Mal
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D" tin uish between one tailed and two tailed test. A
13. is g . roduced by two machines per day are_40o II
The average number of art1~le~ P 40 and 45 respectively on the .b_as1s Of
14. and 450 with standard dev1at1ons d b th the machines equally efficient ?
50 day's production. Can you regar o .
. occurrence of 5 or 6 is considered as a
15 4 dice are thrown 162 times. Td~e expect i) exactly 2 success ii) at least
. success. In how many throws , you
one success ? T
16.
.
A stenograp~er clirfh thf 1f:~s n take dictations at the rate of 120
c;iven she could preform an average Of
f~;d!!r~; ;;~u!e~tanda~ deviation of 40. Is her claim valid?
• · d' t ·b tion consisting of five independent trials first and second
17 In a brnom1a 1 is n u F' d th meter p
. terms are OA096 and .2048 respectively. in e para .
18 In a sample of 1o observations of items the sum of the squared de_viations
. of items from the mean was 101.7. In another sample of _8 o~s~r:vatIons the
value was found to be 94.5. Test whether, the difference Is s1grnf1cant at
50110 Ieve.I (5x5=25 Ma 1
SECTION-C
Answer any tw~ of the following.
19. The following table gives the number of units produced per day by two workers
A and B for a number of days.
A : 40 30 38 41 38 35
B : 39 38 41 33 32 39 40 34
Should these results be accepted as evidence that the two workers are
equally good ?
20. The weekly wages of 1000 workers are normally distributed around a mean ol
Rs. 70 and with a standard deviation of Rs. 5. Estimate the number of workers
whose weekly wages will be between Rs. 70 and Rs. 72. Also estimate the
lowest wages of the 100 highest paid workers.
21. The mean yield of 1000 normally distributed plots of corn was 20.50 kg per
plot. It was o~s~rved that 200 of the plots yielded 17. 75 kg or less. Estimate
standard dev1at1on of the yield.
22. Describe in detail the properties of normal distribution.
(15x2=30 Ma 1
