LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034
M.A. DEGREE EXAMINATION - ECONOMICS
THIRD & FIRST SEMESTER – APRIL 2008
NO 49
ST 3902 / 1900 - STATISTICS FOR ECONOMISTS
Date : 05/05/2008
Time : 9:00 - 12:00
Dept. No.
Max. : 100 Marks
SECTION-A
(10 X 2 = 20 Marks)
Answer all the Questions:
01. Briefly explain the limitations of Statistics in Economic Analysis.
02. Define the terms ‘Range ’ and ‘Standard Deviation’
03. In a distribution, the mean is 65, median is 70, Coefficient of Skewness is -0.6
Find mode and Coefficient of Variation.
04. State the merits and demerits of rank correlation.
05. Give any two applications of discrete distributions in Economics.
06. State any four properties of Normal distribution.
07. Briefly explain the terms positive and negative correlation.
08. What is meant by Test of Adequacy?
09. When do you go for Transportation Problem? Give an example.
10. What is the objective of an Assignment Model?
SECTION-B
(5 X 8 = 40 Marks)
Answer any five Questions:
11.The frequency distribution of income in a certain factory is as follows. Calculate Bowley’
skewness from the following data:
Income ( Rs in 100): 0-100 100-200 200-300 300-400 400-500
No. of Persons
: 8 17
58
47
22
8
500-600
12.Discuss in detail how trend analysis plays an important role in Economic.
13.Show that the Fisher’s Index satisfies both time reversal test and factor
reversal test.
14. Explain in detail the construction of Cost of living Index numbers.
15. State Addition and Multiplication Theorem on Probability with an example.
16. Calculate the rank coefficient of correlation between X and Y from the following data:
X: 10
Y : 23
1
35
62
43
38
51
10
73
14
85
16
10
20
17. When do we go for Chi-square Test ? Illustrate with an example.
18. Discuss in detail, the applications of LPP in Economics.
SECTION-C
(2 X 20= 40 Marks)
Answer any Two Questions:
19 The following data represents the daily wages of an automobile industry.
Find ß1, ß2 from the following data and comment on the results.
Daily Wages : 0-20
No.of workers : 12
20-30
35
30-40 40-50
58
72
50-60
49
60-70
34
70-80
17
20. Calculate the coefficient of correlation between X and Y for the
following and obtain the two regression lines.
X:
Y:
1
2
3
6
4
8
5
10
7
14
8
16
10
20
21a. Explain in detail the various steps involved in solving a Transportation problem.
21b. Construct a Transportation problem using three origin and three destinations and find the optimal
solution.
22. Write short notes on the following:
a)
b)
c)
d)
Kurtosis
Standard Error
Assignment Problem
Conditional probability
X----END----X
2
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