LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034

M.A. DEGREE EXAMINATION – ECONOMICS

YB 46

THIRD SEMESTER – April 2009

ST 3902 – STATISTICS FOR  ECONOMISTS

 

 

 

Date & Time: 29/04/2009 / 9:00 – 12:00   Dept. No.                                                 Max. : 100 Marks

 

 

SECTION–A                  (10 x 2 = 20 Marks)

Answer all the Questions:

 

1. State any two applications of statistics in business.
2. Define the term mode with an example.
3. When do we go for Mean deviation?
4. Briefly explain the term partial correlation.
5. What is meant by Leptokurtic?
6. State any four properties of Normal distribution.
7. When Binomial tends to Poisson distribution?
8. Define the term time reversal test.
9. Define the following terms with examples.
10. Sample space. b. Mutually exclusive events.
11. What is meant by degeneracy in a transportation problem? Give an example.

 

SECTION-B                  (5 x 8 = 40 Marks)

Answer any five Questions:

 

11. Calculate mean, median and mode from the following data:

Income (in 1000 Rs):  5-10   10-15   15-20   20-25   25-30

No of IT staff               :   5          10        20        10        5

12. The following data represent the hourly wages paid to the workers of TCS and WIPRO.

No of workers             Mean                   SD

TCS                 500                              Rs. 186                 81

WIPRO           600                              Rs. 175                100

Calculate the co-efficient of variation and comment upon your result.

13. Calculate the Karl Pearson’s coefficient of correlation from the following data:

Income :           125  137  156  112  107  136  123  108

Expenditure:    78    89    96    69    59    79    68    61

14. How do you fit the curve of the form Y = ax² +bx +c?
15. Explain in detail any five steps involved in the construction of cost of living index numbers.
16. Three coins are tossed once, Construct

i)Sample space

1. ii) Probability distribution

iii) Expectation of X.  Where X represents the number of heads.

17. Students in a Business school were given an aptitude Test. Their marks were found to be

normally distributed with mean 60 and SD 5.

What percent scored

1. i) More than 60 marks?
2. ii) Less than 56 marks?

iii) Between 45 and 65 marks?

( table value Z =0 to -0.8=0.2881:    Z=0 to -3 =0.49865:     Z = 0 to 0.3413)

18. Describe the various steps involved in solving an LP problem using graphical method.

 

SECTION-C                 (2 x 20= 40 Marks)

Answer any Two Questions:

 

19a.  Distinguish between skewness and kurtosis with suitable diagram.

1. Calculate Bowley’s coefficient of skewness from the following data:

Per capita income: 0-10 10-20 20-30 30-40 40-50 50-60 60-70 70-80

No. of countries   : 12       16      26      38        22     15        7        4

(10 +10-Marks)

20a. Discuss in detail the various steps involved in solving an assignment model.

1. Solve the following transportation problem and find the optimal solution.

M1      M2  M3  M4          supply

W1          19     30    50    10             7

W2          70     30    40    60             9

W3          40     8      70    20            18

Demand              5       8      7     14

(8 +12-Marks)

21 Calculate the seasonal indices by the Ratio – To – Moving average method, from the following

data:

Year

Quarters          2004    2005    2006    2007

 

Q1                175     862     390     100

Q2                601     652     272      278

Q3                154     623     466     172

Q4                529     380     385     193

 

(20 Marks)

22. Write shot notes on the following:
23. a) Rank correlation
24. b) Price relative index numbers
25. c) Baye’s theorem
26. d) Large sample tests ( 4X 5 = 20 Marks)

 

 

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