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

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## Question number: 166

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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

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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

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MCQ▾

### 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

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MCQ▾

### Question

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

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question number: 170

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MCQ▾

### 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

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MCQ▾

### 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

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MCQ▾

### 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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