# ISS (Statistical Services) Statistics Paper II (New 2016 MCQ Pattern): Questions 46 - 49 of 253

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## Question number: 46

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MCQ▾

### Question

If are normally distributed random variables with mean μ and variance , then sample variance is

### Choices

Choice (4) Response

a.

Not an unbiased estimate of population variance

b.

Unbiased estimate of population variance

c.

d.

Both a. and c. are correct

## Question number: 47

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MCQ▾

### Question

Let be a random sample from a uniform population on [0, ]. Then the sufficient estimator for is

### Choices

Choice (4) Response

a.

b.

c.

Question does not provide sufficient data or is vague

d.

All of the above

## Question number: 48

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MCQ▾

### Question

A random sample of size 5 is drawn from a normal population with mean and . And if , , Which one is the best estimator in terms of variance?

### Choices

Choice (4) Response

a.

b.

c.

d.

Question does not provide sufficient data or is vague

## Question number: 49

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MCQ▾

### Question

If is the variance of a random sample from an infinite population with mean μ and finite variance . Then is -

### Choices

Choice (4) Response

a.

Unbiased estimator of

b.

Biased estimator of

c.

d.

None of the above