Statistical Inference and Hypothesis Testing-Characteristics of Good Estimator (ISS (Statistical Services) Statistics Paper II (New 2016 MCQ Pattern)): Questions 22 - 25 of 54

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Question number: 22

» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator

MCQ▾

Question

If are normally distributed random variables with mean μ and variance , then sample variance is

Choices

Choice (4) Response

a.

Unbiased estimate of population variance

b.

c.

Not an unbiased estimate of population variance

d.

Both b. and c. are correct

Question number: 23

» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator

MCQ▾

Question

Let be a random sample from a uniform population on [0, ]. Then the sufficient estimator for is

Choices

Choice (4) Response

a.

b.

c.

Question does not provide sufficient data or is vague

d.

All of the above

Question number: 24

» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator

MCQ▾

Question

A random sample of size 5 is drawn from a normal population with mean and . And if , , Which one is the best estimator in terms of variance?

Choices

Choice (4) Response

a.

b.

c.

d.

All of the above

Question number: 25

» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator

MCQ▾

Question

If is the variance of a random sample from an infinite population with mean μ and finite variance . Then is -

Choices

Choice (4) Response

a.

Biased estimator of

b.

c.

Unbiased estimator of

d.

Question does not provide sufficient data or is vague

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