ISS (Statistical Services) Statistics Paper II (New 2016 MCQ Pattern): Questions 39 - 43 of 253

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Question 39

Question

MCQ▾

If are random observations on a Bernoulli variate X taking the value 1 with probability and the value 0 with the probability then is a Consistent estimator of . This statement is

Choices

Choice (4)Response

a.

True

b.

False

c.

Since is not a consistent estimator of , this is false.

d.

Question does not provide sufficient data or is vague

Question 40

Question

MCQ▾

Let be a random sample of size n = 3 from a distribution with mean and variance . Then is a unbiased estimator of

Choices

Choice (4)Response

a.

b.

c.

d.

None of the above

Question 41

Question

MCQ▾

An estimator is said to be sufficient for a parameter, if it contains

Choices

Choice (4)Response

a.

If the conditional distribution of , given T is independent of the parameter.

b.

All the information in the sample regarding the parameter.

c.

Both a. and b. are correct

d.

Question does not provide sufficient data or is vague

Question 42

Question

MCQ▾

A random sample of size 5 is drawn from a normal population with unknown mean . Then is a unbiased estimator of

Choices

Choice (4)Response

a.

b.

c.

d.

Question 43

Question

MCQ▾

If , then which of the following is true?

Choices

Choice (4)Response

a.

is a biased estimator of

b.

c.

is a Unbiased estimator

d.

None of the above