M.Phil International Business ALAGAPPA UNIVERSITY - DISTANCE EDUCATION M.Phil. (IB) DEGREE EXAMINATION, MAY 2010. RESEARCH METHODOLOGY II — TECHNIQUES Question paper

LAGAPPA UNIVERSITY - DISTANCE EDUCATION
M.Phil. (IB) DEGREE EXAMINATION, MAY 2010.
RESEARCH METHODOLOGY II — TECHNIQUES

Time : Three hours
Maximum : 100 marks

Answer any FIVE questions.
All questions carry equal marks.

1. (a) What does a measure of central tendency indicate? Describe the important measures of central tendency pointing out the situation when one measure is considered relatively appropriate in comparison to other measures. (10)
(b) Find the standard deviation and the coefficient of variation for the following frequency distribution and clearly state the fundamental difference between these two measures of variation:(10)

Class Interval : 1-3 3-5 5-7 7-9 9-11 11-13 13-15
Frequency : 3 9 25 35 17 10 1

2. (a) Explain the measures of relative skewness. (10)
(b) Calculate the Pearson's coefficient of skewness based on mean and mode from the following information. (10)
Wages (Rs.) : 0–10 10–20 20–30 30–40 40–50
No. of workers : 15 20 30 25 10

3. (a) Write short notes on association of attributes. (10)
(b) Calculate Karl Pearson's coefficient of correlation between expenditure on advertising and sales from the data given below : (10)
Advertising expenses ('000 Rs.) : 39 65 62 90 82 75 25 98 36 78
Sales in (lakh Rs.) : 47 53 58 86 62 68 60 91 51 84

4. (a) The procedure of testing hypothesis requires a researcher to adopt several steps. Describe in brief all such steps. (10)
(b) In a test given to two groups of students, the marks obtained were as follows : (10)
First group : 18 20 36 50 49 36 34
Second group : 29 28 26 35 30 44 46
Examine the significance of difference between mean marks obtained by students of the above two groups. Test at five percent level of significance.

5. (a) Distinguish between parametric and non-parametric tests. (10)
(b) Two random samples drawn from two normal populations are : (10)
Sample 1 : 20 16 26 27 23 22 18 24 25 19
Sample 2 : 27 33 42 35 32 34 38 28 41 43 30 37
Test using variance ratio at 5% and 1% level of significance whether the two populations have the same variances.

6. (a) What is chi-square test? Explain its significance in statistical analysis. (10)
(b) A research study shows that the incomes of a random sample of 6 junior engineers in industry A are Rs. 630, 650, 680, 690, 710 and 720 per month. The same study shows that the incomes of a random sample 10 junior engineers in industry B are Rs. 610, 620, 650, 660, 690, 700, 710, 720 and 730 per month. Do you find any significant difference in the incomes of the junior engineers in industries A and B? use t-test to answer the questions. (10)
Degrees of freedom : 12 13 14 15 16
t at 5% : 2.179 2.160 2.145 2.131 2.120

7. (a) Describe the steps involved in the construction of semantic differential scale (10)
(b) The following are smoke stacks enumerate by 3 different factories studied over 5 days in the course of a week. (10)
Factory A Factory B Factory C
46.3 48.6 45.1
43.7 52.3 46.7
51.2 50.9 41.8
49.6 53.6 40.4
48.8 55.7 42.6
Perform Kruskal Wallis test.

8. (a) Discuss the characteristics of effective measurement in the context of research. (10)
(b) The coefficient of correlation between two variables x and y is 0.48. The covariance is 36. The variance of x is 16. Find the standard deviation of y. (10)