# Statistical Inference and Hypothesis Testing (ISS (Statistical Services) Statistics Paper II (New 2016 MCQ Pattern)): Questions 1 - 6 of 222

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## Question number: 1

» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator

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MCQ▾

### Question

If and are two unbiased estimators of . Then

is a

### Choices

Choice (4) Response

a.

Negatively biased estimator

b.

Positively biased estimator

c.

Unbiased estimator

d.

Biased estimator

## Question number: 2

» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator

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MCQ▾

### Question

A function for estimating a parameter is called as:

### Choices

Choice (4) Response

a.

Estimate

b.

Statistic

c.

Estimation

d.

Estimator

## Question number: 3

» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator

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MCQ▾

### Question

If are normally distributed random variables with mean μ and variance , Then the unbiased estimator of is -

### Choices

Choice (4) Response

a.

b.

c.

None of the above

d.

All of the above

## Question number: 4

» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator

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MCQ▾

### Question

Suppose we have two consistent estimators and of a parameter , then is more efficient than if

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 5

» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator

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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: 6

» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator

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MCQ▾

### Question

Let be a random sample from Bernoulli population with parameter , . If ,

### Choices

Choice (4) Response

a.

The conditional distribution does not depend on

b.

Is Sufficient for

c.

Is not sufficient for

d.

Both a. and b. are correct

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