2014
(December)
COMMERCE
Paper: 203
(Research Methodology and Statistical Analysis)
Full Marks: 80
Time: 3 hours
The figures in the
margin indicate full marks for the questions
1.
(a) What do you mean by Business research? Explain its significance in modern
times. 16
Or
(b) Enumerate the different methods of collecting data.
Which one is the most suitable for conducting enquiry regarding family welfare
programme in India? Explain its merits & demerits. 16
2.
(a) From the following data obtain the two regression equations: 16
X:

6

2

10

4

8

Y:

9

11

5

8

7

Or
(b) What does a measure of central tendency indicate?
Discuss the important measures of central tendency pointing out the situation
when one measure is considered relatively appropriate in comparison to other
measures. 16
3.
(a) Explain the following with examples: 2x8=16
1)
Mutually Exclusive Events.
2)
Independent and Dependent Events.
3)
Equally Likely Events.
4)
Classical Approach.
5)
Relative Approach.
6)
Subjective Approach.
7)
Addition Theorem.
8)
Multiplication Theorem.
Or
(b) Eight coins are tossed at a time 256 times. Number of
heads observed at each throw is recorded and the results are given below. Find
the expected frequencies. What are theoretical values of mean and standard
deviation? 16
No. of heads at a throw

Frequency

0
1
2
3
4
5
6
7
8

2
6
30
52
67
56
32
10
1

4.
(a) The Medical Administration Test taken by two groups of boys and girls gave
the following information:
Mean score

SD

Number


Girls:
Boys:

75
70

10
12

100
200

On
the basis of the above information, would you conclude that mean scores of boys
and girls are statistically significant? [Tabulated value of Z at 1% level of
significance is 2.58] 16
Or
(b) Describe the five steps of hypothesis testing and write
a note on point estimation and interval estimation. 10+6=16
5.
(a) Describe the aims and importance of Report writing. 5+11=16
Or
(b) A firm selling four products is interested in finding
out whether the sales are distributed similarly among four general classes of
400 sales records provides the following information:
Products

Total


Customer’s group
Partners
Factory workers
Businessmen
Professionals

1
25
32
35
28

2
10
20
48
22

3
30
10
25
15

4
15
28
40
17

80
90
148
82
400

Total

120

100

80

100

400

Apply
Chisquare test. What conclusion can you draw from the test result.
[Tabulated
value of x^{2}_{0.005 }= 16.919 for q= 9]
***
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