# Statistical Inference and Hypothesis Testing-Characteristics of Good Estimator (ISS Statistics Paper II (New 2016 MCQ Pattern)): Questions 33 - 36 of 54

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## Question number: 33

» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator

MCQ▾

### Question

For normal distribution

### Choices

Choice (4) Response

a.

Sample mean is more efficient estimator than the sample median. Since,

b.

Sample median is more efficient estimator than the sample mean. Since,

c.

Sample median is more efficient estimator. Since,

d.

None of the above

## Question number: 34

» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator

MCQ▾

### Question

Let be a sample of size n = 3 from a distribution with mean and variance . Then and are

### Choices

Choice (4) Response

a.

Only is unbiased estimator

b.

and are biased estimators

c.

and are unbiased estimators

d.

None of the above

## Question number: 35

» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator

MCQ▾

### Question

The mean of a random sample is always an unbiased estimate of the population mean μ. This statement is

### Choices

Choice (4) Response

a.

True for all distributions

b.

False

c.

True only for binomial distribution

d.

All of the above

## Question number: 36

» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator

MCQ▾

### Question

If is the estimator of the parameter , then is called unbiased if:

### Choices

Choice (4) Response

a.

b.

c.

d.

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