# ISS (Statistical Services) Statistics Paper II (New 2016 MCQ Pattern): Questions 59 - 64 of 253

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## Question number: 59

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MCQ▾

### Question

The mean of a random sample is always an unbiased estimate of the population mean μ. This statement is

### Choices

Choice (4)Response

a.

True only for binomial distribution

b.

False

c.

True for all distributions

d.

All of the above

## Question number: 60

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MCQ▾

### Question

If is the estimator of the parameter , then is called unbiased if:

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question number: 61

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MCQ▾

### Question

Estimate is the observed value of an:

### Choices

Choice (4)Response

a.

Stastical Inference

b.

Statistical hypothesis

c.

Estimator

d.

All of the above

## Question number: 62

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MCQ▾

### Question

If is a random sample drawn from a population which takes the values 1 or 0 with respective probabilities and , then is

### Choices

Choice (4)Response

a.

An unbiased estimator of

b.

A biased estimator of

c.

An unbiased estimator of

d.

Question does not provide sufficient data or is vague

## Question number: 63

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MCQ▾

### Question

A statistic is biased if the mean of the sampling distribution of the statistic is

### Choices

Choice (4)Response

a.

Not equal to the parameter.

b.

Less than the parameter

c.

Equal to the parameter

d.

All of the above

## Question number: 64

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MCQ▾

### Question

The mean of a random sample is always a consistent estimator of the population mean μ. This statement is

### Choices

Choice (4)Response

a.

False

b.

True for all distributions

c.

True only for Bernoulli distribution

d.

Question does not provide sufficient data or is vague

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