# ISS (Statistical Services) Statistics Paper II (New 2016 MCQ Pattern): Questions 39 - 43 of 253

Access detailed explanations (illustrated with images and videos) to 253 questions. Access all new questions- tracking exam pattern and syllabus. View the complete topic-wise distribution of questions. Unlimited Access, Unlimited Time, on Unlimited Devices!

View Sample Explanation or View Features.

Rs. 200.00 -OR-

How to register? Already Subscribed?

## Question 39

### Question

MCQ▾

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.

True

b.

False

c.

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

d.

Question does not provide sufficient data or is vague

## Question 40

### Question

MCQ▾

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 41

### Question

MCQ▾

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.

Question does not provide sufficient data or is vague

## Question 42

### Question

MCQ▾

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 43

### Question

MCQ▾

If , then which of the following is true?

### Choices

Choice (4)Response

a.

is a biased estimator of

b.

c.

is a Unbiased estimator

d.

None of the above