# ISS Statistics Paper II (New 2016 MCQ Pattern): Questions 56 - 59 of 246

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## Question number: 56

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

MCQ▾

### Question

For normal distribution

### Choices

Choice (4) Response

a.

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

b.

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

c.

Sample median is more efficient estimator. Since,

d.

None of the above

## Question number: 58

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 biased estimators

c.

and are unbiased estimators

d.

None of the above

## Question number: 59

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 for all distributions

b.

False

c.

True only for binomial distribution

d.

All of the above

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