Statistical Inference and Hypothesis Testing-Characteristics of Good Estimator [ISS (Statistical Services) Statistics Paper II (New 2016 MCQ Pattern)]: Questions 1 - 7 of 54

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Question 1

Characteristics of Good Estimator

Question

MCQ▾

If and are two unbiased estimators of . Then

is a

Choices

Choice (4)Response

a.

Negatively biased estimator

b.

Positively biased estimator

c.

Unbiased estimator

d.

Biased estimator

Question 2

Characteristics of Good Estimator

Question

MCQ▾

A function for estimating a parameter is called as:

Choices

Choice (4)Response

a.

Estimate

b.

Statistic

c.

Estimation

d.

Estimator

Question 3

Characteristics of Good Estimator

Question

MCQ▾

If are normally distributed random variables with mean μ and variance , Then the unbiased estimator of is -

Choices

Choice (4)Response

a.

b.

c.

None of the above

d.

All of the above

Question 4

Characteristics of Good Estimator

Question

MCQ▾

Suppose we have two consistent estimators and of a parameter , then is more efficient than if

Choices

Choice (4)Response

a.

b.

c.

d.

Question 5

Characteristics of Good Estimator

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 6

Characteristics of Good Estimator

Question

MCQ▾

Let be a random sample from Bernoulli population with parameter , . If ,

Choices

Choice (4)Response

a.

The conditional distribution does not depend on

b.

Is Sufficient for

c.

Is not sufficient for

d.

Both a. and b. are correct

Question 7

Characteristics of Good Estimator

Question

MCQ▾

If T is an unbiased estimator for , then is

Choices

Choice (4)Response

a.

Biased estimator of

b.

Unbiased estimator

c.

None of the above

d.

Question does not provide sufficient data or is vague

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