Hall Ticket No:
Question Paper Code C3002
(AUTONOMOUS)MBA I Semester Regular/Supplementary Examinations, January 2016
(Regulations: VCE-R15)RESEARCH METHODOLOGY STATISTICAL ANALYSIS
(Master of Business Administration)Date: 29 December, 2017 FN
Time: 3 hours
Max Marks: 70
Answer any FIVE Questions
All Questions carry equal marks
1.
a)What is primary data? Discuss the important methods of collecting Primary data.
6M
b)Discuss the various non-probability sampling techniques.
8M
2. The following table gives the daily profits (in Rs) of 195 shops of a town. Calculate the mean median and mode.
Profits
50-60
60-70
70-80
80-90
90-100
100-110
110-120
120-130
130-140
No of shops
15
20
32
35
33
22
20
10
8
14M
3.
Construct Laspeyre's, Paasche's and Fisher's indices from the following data.
1986
1987
Item
Price (Rs)Expenditure(Rs)Price(Rs)Expenditure(Rs)1
10
60
15
75
2
12
120
15
150
3
18
90
27
81
4
8
40
12
48
14M
4.
a)Find regression equations for the following data.
X
6
7
5
8
4
Y
9
16
13
12
15
8M
b)Explain the types of correlation with examples.
6M
5.
Fit a straight line trend by the method of least square to the following data. Assuming that the same rate of change continues, what would be predicted sales for 1993?
Year
1987
1988
1989
1990
1991
1992
Sales
15
17
20
21
23
24
14M
6.
a)Define the term hypothesis. State its types and explain the steps involved in the procedure for testing of hypothesis.
8M
b)Discuss in detail about type I and type II error with example.
6M
7.
In a random sample of 600 persons from a large city, 450 are found to be the smokers. In another sample of 900 persons from another large city, 450 are smokers. Do the data indicate that the cities are significantly different with respect to the prevalence of smoking? Let the level of significance be 5
14M
Cont…2

8.
To assess the significance of possible variation in performance in a certain test between the convent schools of a city, a common test was given to a number of students taken at random from the senior fifth class of each of the four schools concerned. The results are given below. Make an analysis of variance of data.
Schools
A
B
C
D
8
12
18
13
10
11
12
9
12
9
16
12
8
14
6
16
7
4
8
15
14M