# Statistical Inference and Hypothesis Testing (ISS (Statistical Services) Statistics Paper II (New 2016 MCQ Pattern)): Questions 12 - 16 of 222

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## Question number: 12

» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator

MCQ▾

### Question

Let be a random sample of size n with mean and variance Then which of the following statements is true?

### Choices

Choice (4) Response

a.

The sample mean and sample variance are unbiased estimators of the mean and variance of the underlying distribution.

b.

Sample mean is unbiased estimator and sample variance is biased estimator.

c.

The sample mean and sample variance are biased estimators

d.

All of the above

## Question number: 13

» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator

MCQ▾

### Question

Bias of an estimator can be:

### Choices

Choice (4) Response

a.

Positive

b.

Negative

c.

Zero

d.

Both a. and b. are correct

## Question number: 14

» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator

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: 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

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