ISS (Statistical Services) Statistics Paper II (New 2016 MCQ Pattern): Questions 166 - 172 of 253

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Question number: 166

» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator

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MCQ▾

Question

Relative efficiency of an estimator as compared to is given as

Choices

Choice (4)Response

a.

b.

c.

d.

Question number: 167

» Statistical Inference and Hypothesis Testing » Cramer-Rao Inequality

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MCQ▾

Question

Cramer-Rao inequality with regard to the variance of an estimator provides

Choices

Choice (4)Response

a.

Lower bond on the variance

b.

Asymptotic variance of an estimator

c.

Upper bound on the variance

d.

All of the above

Question number: 168

» Statistical Inference and Hypothesis Testing » Confidence Interval Estimation

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Question

If and are the mean and standard deviation of a random sample from a Normal distribution with unknown variance , a percent confidence interval on is given by

Choices

Choice (4)Response

a.

b.

c.

d.

Question does not provide sufficient data or is vague

Question number: 169

» Statistical Inference and Hypothesis Testing » Confidence Interval Estimation

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Question

The 95 % confidence interval for of the normal population is given by

Choices

Choice (4)Response

a.

b.

c.

d.

Question number: 170

» Statistical Inference and Hypothesis Testing » Minimum Variance Unbiased Estimators

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Question

If and are two unbiased estimators of based on the random sample , then is said to be UMVUE if and only if

Choices

Choice (4)Response

a.

b.

c.

d.

Question number: 171

» Statistical Inference and Hypothesis Testing » Simple and Composite Hypotheses

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Question

The hypothesis is known as

Choices

Choice (4)Response

a.

Composite Hypothesis

b.

Simple Hypothesis

c.

Null Hypothesis

d.

Alternative Hypothesis

Question number: 172

» Statistical Inference and Hypothesis Testing » Factorization Theorem

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Question

If is a random sample from a density function for where are independent of , then any statistics will be called as sufficient statistics if the joint probability density function can be expressed as

Choices

Choice (4)Response

a.

b.

c.

d.

None of the above

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