# ISS (Statistical Services) Statistics Paper II (New 2016 MCQ Pattern): Questions 55 - 59 of 253

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## 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

## 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