Higher National Diploma in Accountancy (New)
First Year – Second Semester Examination - 2017
HNDA 1202 – Statistical Analysis for Management
Instructions to Candidates: No. of questions : 06
Answer five questions including question 1. No. of pages : 04
All questions carry equal marks. Time allowed : Three hours
Question 01
i) Define the term statistics.
ii) What is the difference between discrete and continuous variables? Give examples.
iii) State four probabilistic sampling techniques.
iv) What are the main sources of data collecting?
v) Define the term data array.
vi) Briefly explain type I error and type II error in hypothesis testing.
vii) State three types of control charts.
viii) X is a continuous variable, if x ~ Bin (20,0.7), find the mean value and standard
deviation.
ix) Coefficient of skewness of a certain production is 0.8765. Draw the shape of
distribution of that production.
x) What are the two types of estimation?
(10 × 2 = 20 Marks)
Question 02
i) The grades which students gained after passing the exam are shown in the table
below.
68 78 94 54 67 77 96 100 97 86
87 76 77 98 99 78 65 64 79 90
80 79 72 71 64 62 53 100 65 84
(a) Prepare a grouped frequency distribution table for the above data using lower
class limits as 53, 61,69,77,85 and 93
(06 Marks)
(b) Draw a histogram using the data in part a) (05 Marks)
(c) Find the mode value using the above histogram. (04 Marks)
(d) Calculate the coefficient of variation for the wages in each firm and find which
firm has the greater variability in wages. (05 Marks)
Firm A Firm B
Mean daily wages 168 157
Variance of distribution of wages 81 100
(Total 20 Marks)
Question 03
The following table shows the amount of pocket money of 55 students in a school (pocket
Money in rupees per day):
Pocket Money (Rs.) No. of Students
100 – 120 12
120 – 140 16
140 – 160 13
160 – 180 8
180 – 200 6
You are required to calculate the followings:
i) Mean (03 Marks)
ii) Median (03 Marks)
iii) Mode (03 Marks)
iv) Standard deviation (05 Marks)
v) Inter quantile range (06 Marks)
(Total 20 Marks)
Question 04
i) The table below shows the number of absences (x) and the final exam marks (y) of 7
students following the HNDA course.
x 1 0 2 6 4 3 3
y 95 90 90 55 70 80 85
(a) Find the correlation coefficient and interpret it. (06 Marks)
(b) Using least square method find regression line y on x. (04 Marks)
ii) The table below gives the quarierly sales figures (in ‘000’) of a product for the years
2014 – 2016
Q1 Q2 Q3 Q4
2014 20 30 40 59
2015 39 43 62 81
2016 52 65 75 94
(a) Calculate the three month moving averages based on the data. (04 Marks)
(b) Obtain the regression trend line representing the above data. (04 Marks)
(c) Estimate sales for the 4th quarter of 2017. (02 Marks)
(Total 20 Marks)
Question 05
i) The following data relate to a set commodities used 1 a particular process.
Commodity 2015 2016
Price Quantity Price Quantity
A 36 80 40 95
B 85 12 90 10
C 40 16 41 18
D 25 60 20 65
By taking 2015 as the base year find.
(a) Simple aggregate price index. (02 Marks)
(b) Laspeyres’ price and quantity index. (08 Marks)
ii) Consider the following discrete probability distribution.
x -2 -1 0 1 2 3
P (X) 2a2 2a a 3a2 + a a a2
Find the following based on the data given above:
(a) The value of a (03 Marks)
(b) P (-2 < X ≤ 1) (02 Marks)
(c) Expected value (02 Marks)
(d) Variance (03 Marks)
(Total 20 Marks)
Question 06
i) The period of time employees have worked at a particular company is normally
distributed with the mean of 12 years and standard deviation of 2 years. If the highest
10% of employees in seniority are to be promoted, what is the minimum period of
time that an employee could have worked?
ii) According to a survey, 80% of the students between 16 and 24 years old use Internet.
You randomly select 80 students in that age range and ask them whether they use
Internet or not. Find the probability where more than 70 students would say that they
use the Internet.
iii) Suppose you are given 3 multiple-choice type questions. Each question has 4 answers
and only one is correct. What is the probability that you can just guess the answers
and get 2 questions right.
iv) According to the Department of Management, University of Rajarata, full time
graduate students receive an average salary of Rs.50 000. The Dean of the University
claims that his graduate students cam more than this. He surveys 100 randomly
selected students and find their average salary is Rs.53 000 with a standard deviation
of Rs.12 000. Is the Dean’s claim correct (∞ = 0.05)?
(4 x 5 = 20 Marks)
