LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034

NO 49

M.A. DEGREE EXAMINATION – ECONOMICS

THIRD & FIRST SEMESTER – APRIL 2008

    ST 3902 / 1900 – STATISTICS FOR  ECONOMISTS

 

 

 

Date : 05/05/2008            Dept. No.                                        Max. : 100 Marks

Time : 9:00 – 12:00

SECTION–A                  (10 X 2 = 20 Marks)

Answer all the Questions:

 

1. Briefly explain the limitations of Statistics in Economic Analysis.
2. Define the terms ‘Range ’ and ‘Standard Deviation’
3. In a distribution, the mean is 65, median is 70, Coefficient of Skewness is -0.6

Find mode and Coefficient of Variation.

4. State the merits and demerits of rank correlation.
5. Give any two applications of discrete distributions in Economics.
6. State any four properties of Normal distribution.
7. Briefly explain the terms positive and negative correlation.
8. What is meant by Test of Adequacy?
9. 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      500-600

No. of Persons        :     8              17               58         47             22            8

 

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      35        43        51        73        85        10

Y :    23      62        38        10        14        16        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        20-30      30-40    40-50       50-60      60-70        70-80

No.of workers :     12              35           58        72           49           34              17

 

 

20. Calculate the coefficient of correlation between X and Y for the

following and obtain the two regression lines.

 

X:        1          3          4          5          7          8          10

Y:        2          6          8          10        14        16        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:

 

1. Kurtosis
2. Standard Error
3. Assignment Problem
4. Conditional probability

 

 

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