# ISS Statistics Paper II (New 2016 MCQ Pattern): Questions 38 - 41 of 246

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## Question number: 38

MCQ▾

### Question

If is a random sample from a normal distribution . Then the unbiased estimator of is

### Choices

Choice (4) Response

a.

b.

c.

μ

d.

## Question number: 39

MCQ▾

### Question

If are random observations on a Bernoulli variate X taking the value 1 with probability and the value 0 with the probability then is a Consistent estimator of . This statement is

### Choices

Choice (4) Response

a.

Since is not a consistent estimator of , this is false.

b.

False

c.

True

d.

None of the above

## Question number: 40

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.

None of the above

## Question number: 41

MCQ▾

### Question

An estimator is said to be sufficient for a parameter, if it contains

### Choices

Choice (4) Response

a.

If the conditional distribution of , given T is independent of the parameter.

b.

All the information in the sample regarding the parameter.

c.

Both a. and b. are correct

d.

None of the above

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