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## 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
(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