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A

Section A: Long Answer Questions

Attempt any TWO questions.

3 questions·10 marks each
1long10 marks

What is hypothesis testing? Explain the procedure of testing of hypothesis including null and alternative hypotheses, level of significance, types of errors and the critical region.

hypothesis-testing
2long10 marks

Define correlation and regression. Explain the method of fitting two regression lines and the relationship between correlation coefficient and regression coefficients.

correlationregression
3long10 marks

What is sampling? Explain different methods of probability and non-probability sampling with their merits and demerits.

sampling
B

Section B: Short Answer Questions

Attempt any EIGHT questions.

9 questions·5 marks each
4short5 marks

Define mathematical expectation. State and prove its properties.

expectation
5short5 marks

Explain the t-test for testing the significance of the difference between two sample means.

t-test
6short5 marks

Explain the z-test for a large sample test of a single mean with an example.

z-test
7short5 marks

Define Karl Pearson's coefficient of correlation and state its properties.

correlation
8short5 marks

What are regression coefficients? State their properties.

regression
9short5 marks

Explain the concept of sampling distribution and standard error.

samplingdistribution
10short5 marks

Explain how to construct a confidence interval for a population mean.

confidence-interval
11short5 marks

Explain the F-test for the equality of two population variances.

f-test
12short5 marks

Define index numbers and explain Laspeyres' and Paasche's price index methods.

index-numbers