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A

Section A: Long Answer Questions

Attempt any TWO questions.

3 questions·10 marks each
1long10 marks

Explain the theory of estimation. Differentiate between point estimation and interval estimation and explain the properties of a good estimator.

estimation
2long10 marks

Explain the chi-square test. Describe its applications in testing goodness of fit and independence of attributes.

chi-square
3long10 marks

Define a probability distribution. Explain the binomial distribution with its mean and variance, and state the conditions under which it is applied.

probabilitydistribution
B

Section B: Short Answer Questions

Attempt any EIGHT questions.

9 questions·5 marks each
4short5 marks

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

confidence-interval
5short5 marks

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

f-test
6short5 marks

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

index-numbers
7short5 marks

State and explain the addition and multiplication theorems of probability with examples.

probability
8short5 marks

Explain the Poisson distribution with its mean and variance and state its applications.

poisson
9short5 marks

Define a random variable. Differentiate between discrete and continuous random variables with examples.

random-variable
10short5 marks

Define mathematical expectation. State and prove its properties.

expectation
11short5 marks

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

t-test
12short5 marks

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

z-test