Statistical Inference and Hypothesis Testing (ISS (Statistical Services) Statistics Paper II (New 2016 MCQ Pattern)): Questions 17 - 21 of 222

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Question number: 17

» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator

MCQ▾

Question

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.

None of the above

Question number: 18

» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator

MCQ▾

Question

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 number: 19

» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator

MCQ▾

Question

If , then which of the following is true?

Choices

Choice (4) Response

a.

is a Unbiased estimator

b.

is a biased estimator of

c.

d.

Question does not provide sufficient data or is vague

Question number: 20

» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator

MCQ▾

Question

If the mean of the estimator is not equal to the population parameter, the estimator is said to be:

Choices

Choice (4) Response

a.

Biased

b.

Positively biased

c.

Unbiased

d.

Negatively biased

Question number: 21

» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator

MCQ▾

Question

If is a random sample from a Bernoulli population with parameter, then is

Choices

Choice (4) Response

a.

An unbiased estimator of

b.

A biased estimator of

c.

An unbiased estimator of +1

d.

None of the above

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