Madurai Kamraj University (MKU) 2001 M.A Economics Optional - Statistical Methods - Question Paper

M.A. DEGREE EXAMINATION, OCTOBER 2001
Second Year
Branch III (a) and (c) - Economics
Optional : STATISTICAL METHODS
(For those who joined in July 1995 and after)

Time: 3 hours
Maximum: 100 marks

ans any 5 ques..
All ques. carry equal marks.

1. What is meant by correlation? elaborate the mathematical methods of measuring correlation? State the properties of correlation coefficient.

A : three five eight four seven 10 two one six 9
B : six four nine eight one two three 10 five seven

(b) The rankings of ten students in 2 subjects A and B are as above. obtain the coefficient of rank correlation.

2. (a) describe the Linear Regression. Write down the equations of lines of regression. State the properties of regression coefficients.

(b) The subsequent marks have been found by a class of students in Statistics (out of 100)

Paper I : 45 55 58 60 65
Paper II : 56 50 48 60 62 64
Paper I : 68 70 75 80 85
Paper II : 65 70 74 82 90
obtain the equations of the lines of regression.

3. (a) define the methods of studying the association of attributes.

(b) obtain whether any inconsistency is there in the beneath data:
N = 1200; [A] = 60; (AB) = 40; (B) = 50.

4. (a) What do you understand by interpolation? Distinguish ranging from interpolation and extrapolation.

(b) Use 1 of the methods of interpolation to estimate the business done in 1970 from the subsequent data :

Year : 1967 1968 1971 1972
Business done :
(Rs. in lakhs) : 150 235 525 780

5. (a) provide an analytical report on Index Numbers.

(b) define the tests to be satisfied by a good Index Number.

6. (a) elaborate the components of a time-series? define.

(b) discuss the methods of measuring the pattern.

7. (a) elaborate the factors to be taken into consideration while planning a sample survey?

(b) define the different methods of Enquiry.

8. (a) describe the conditional probability and state the Baye’s theorem.

(b) What is the probability of getting only 1 head in 5 tosses of a coin?

9. (a) provide the characteristics of the Binomial and Poisson distributions, with suitable examples.

(b) define the main features of the Normal distribution.

10. (a) discuss the subsequent terms:
(i) Null hypothesis
(ii) Level of significance.

(b) define the test for testing the significant difference ranging from the sample mean and population mean.

Earning:   Approval pending.