Statistical Inference and Hypothesis Testing-Characteristics of Good Estimator (ISS Statistics Paper II (New 2016 MCQ Pattern)): Questions 47 - 51 of 54

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Question number: 47

» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator

MCQ▾

Question

For a normal population Equation , the variance of the sample mean and sample variance are given Equation Equation . Then the efficiency of mean against median is

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 48

» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator

MCQ▾

Question

In a class of consistent estimators for a parameter, which one will you consider as the most efficient estimator?

Choices

Choice (4) Response

a.

One whose mean and variance both are less than the other estimators.

b.

One whose sampling variance is less than the other estimators.

c.

One whose mean is less than the other estimators.

d.

Question does not provide sufficient data or is vague

Question number: 49

» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator

MCQ▾

Question

If T is an unbiased estimator for Equation , then Equation is biased estimator of

Choices

Choice (4) Response

a.

Equation

b.

c.

Equation

d.

Equation

Question number: 50

» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator

MCQ▾

Question

An estimator is efficient, if its variance is________ the variance of any other estimator.

Choices

Choice (4) Response

a.

More than

b.

Similar to

c.

Less than

d.

Either b or c

Question number: 51

» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator

MCQ▾

Question

An estimator is considered to be the best if its distribution is

Choices

Choice (4) Response

a.

Concentrated about the true parameter value

b.

Normal

c.

Discrete

d.

Continuous

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