# Statistical Inference and Hypothesis Testing (ISS Statistics Paper II (New 2016 MCQ Pattern)): Questions 15 - 18 of 222

Get 1 year subscription: Access detailed explanations (illustrated with images and videos) to 246 questions. Access all new questions we will add tracking exam-pattern and syllabus changes. View Sample Explanation or View Features.

Rs. 200.00 or

## Question number: 15

» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator

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: 16

» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator

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: 17

» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator

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

## Question number: 18

» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator

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.

f Page