Sunday, October 05, 2014

Dibrugarh University (M.Com - Distance) - Research Methodology and Statistical Analysis (Nov - Dec' 2009)

2009 (November – December)
Paper: 203
Full Marks: 80
Time: 3 Hours

The figures in the margin indicate full marks for the questions.

1. (a) “Research is much concern with the proper fact finding, analysis and evolution”.--- Do you agree with this statement? Give reason in support of your answer.       16

OR

(b) Enumerate the different method of collecting data. Which one is the most suitable for conducting enquiry regarding family welfare programme in India? Explain its merits and demerits.

2.(a)what does a measure of central tendency indicate? Discuss the     important measure of central tendency pointing out the situation when one measure is considered relatively appropriate in comparison to other measure. 16


OR

(b) From the following data obtain two regression equations :
      X: 6  2               10          4              8
      Y: 9  11           5              8              7

3. (a) Explain the following with examples :  2*8=16
(i) Mutually Exclusive Events
(ii) Independent and dependent Events
(iii) Equally Likely Events
(iv) Classic Approach
(v) Relative frequency Approach
(vi) Subjective Approach
(vii) Addition Theorem
(viii) Multiplication Theorm

OR

(b) Eight coins are tossed at a time 256 times. Number of heads observed at each throw is recorded and results are given below. Find the expected frequencies. What are the theoretical values of mean and S.D of the observed frequency.               16

Number of heads of a throw
Frequency
0
1
2
3
4
5
6
7
8
2
6
30
52
67
56
32
10
1
               
4. (a) Describe Five steps of hypothesis testing and write a note on point and interval estimation. 10+6=16

OR

(b) The MBA admission test taken by two groups of boys and girls gave the following information :

Particulars
Mean Scores
SD
Number
Girls
75
10
100
Boys
70
12
200

On the basis of above info. State if the difference of mean scores of boys and girls are statistically significant.         16
(Tabulated value of Z at 1 % level of significance is 2.58)

5. (a) A firm selling our products is interested in finding out whether the sales are distributed similarly among four general classes of customers. A random sample of 400 sales records provide the following information :
Customer’s group
1
2
3
4
Total
Partners
25
10
30
15
80
Factory workers
32
20
10
28
90
Businessmen
35
48
25
40
148
Professionals
28
22
15
17
82
Total
120
100
80
100
400
  Apply Chi-square test. What conclusion can you draw from the last result. (Tabulated value of x20.05 =16.919 for q=9) 16


(b) Describe the aims and importance of report writing.       16

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