RESEARCH METHODOLOGY AND STATISTICAL ANALYSIS

MASTER OF COMMERCE

Term-End Examination

June 2010

MCO-3: RESEARCH METHODOLOGY AND

STATISTICAL ANALYSIS

Time : 3 hours Maximum Marks 100

Note : Answer any five questions. All questions carry equal marks.

(a) What is the significance of hypothesis in research ?What are Type I and Type II errors in Hypothesis Testing ?

(b) Explain survey method of research and case method of research.

(a) A College consists of 8000 students. 40% of 10 them are girls. Again 70% of the students are from the rural area. The entire student population is divided into 4 stratum, namely :Rural girls, Urban girls, Rural boys, and Urban boys. How sho-uld a sample size of 200 be allocated to these 4 stratum using proportional method?

(b) Briefly explain the method of drawing a 10 sample using systematic sampling method with the help of an example. What are essentials of a good sample?

(a) Draw a PIE diagram for the following data illustrating daily sales of different newspapers in a small locality.10

Newspaper Daily Sales

Times of India 150

Hindustan Times 110

Hindu 60

Nav Bharat Times 130

(b) The average (mean) marks scored by 30 students in a test was 55. Later it was found that one of the student's marks who has scored 60 was not taken into account while adding the marks. Find the revised average (mean) marks.10

(a) What are the requisites of a good statisticaltable? 5

(b) The monthly wages paid to workers of Firm-A and Firm-B of the same industry are as follows:

Firm A       Firm B

Number of workers 500             400

Average monthly 12000        15000

wages (Rs.)

Variance of the distribution 196 196

of wages

Which Firm has larger wage bill ? 3

Find coefficient of variance (for each firm) of wage distribution. 10

Which Firm has greater variability of wages ? 2

(a) With the help of relevant scatter diagrams explain positive correlation, negative correlation, and no correlation.15

(b) What are the (ranges) numerical values that depict positive correlation, negative correlation and no correlations ? 5

(a) With suitable examples, explain price indices, quantity indices, and value indices. 5+5+5+5

(b) What do you understand by the term decomposition of the time series ?5

(a) Distinguish between classification and tabulation. 5

(b) A survey on preference of votes for two candidates A and B for a public office are as follows :15

Geographical                           Voting preference

Areas                                       A       B       Total

Rural 620 380 1000

Urban 550 450 1000

Total 1170 830      2000

Use the chi-square test to examine whether the nature of the geographical area is related to voting preference ?

(Given the table value of x2 as 3.84 at 1 degree of freedom and 0.05 significance level)

Write short notes on any four of the following : 4x5=20

Random variable

Coefficient of determination

Weighted index numbers

Histogram Difference between symmetry and skewness.

Non probability sampling methods.

(a) Explain different stages in preparation of a report. 10

(b) Why and how the statistical fallacies arise while interpreting the data ? Explain with relevant examples. 10

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