# ISS (Statistical Services) Statistics Paper II (New 2016 MCQ Pattern): Questions 53 - 58 of 253

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## Question number: 53

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MCQ▾

### Question

The difference between the expected value of an estimator and the value of the corresponding parameter is called:

### Choices

Choice (4)Response

a.

Error of estimation

b.

Bias

c.

Standard error

d.

Sampling error

## Question number: 54

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MCQ▾

### Question

Let be a random sample of size n = 3 from a distribution with mean and variance . Then is a unbiased estimator of

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question number: 55

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MCQ▾

### Question

A biased estimator is consistent if

### Choices

Choice (4)Response

a.

b.

c.

d.

None of the above

## Question number: 56

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MCQ▾

### Question

A random sample of size 5 is drawn from a normal population with unknown mean . Then is a unbiased estimator of

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question number: 57

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MCQ▾

### Question

For normal distribution

### Choices

Choice (4)Response

a.

Sample median is more efficient estimator. Since,

b.

Sample median is more efficient estimator than the sample mean. Since,

c.

Sample mean is more efficient estimator than the sample median. Since,

d.

Question does not provide sufficient data or is vague

## Question number: 58

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MCQ▾

### Question

Let be a sample of size n = 3 from a distribution with mean and variance . Then and are

### Choices

Choice (4)Response

a.

Only is unbiased estimator

b.

and are unbiased estimators

c.

and are biased estimators

d.

All of the above

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