# Statistical Inference and Hypothesis Testing-Minimum Variance Unbiased Estimators (ISS (Statistical Services) Statistics Paper II (New 2016 MCQ Pattern)): Questions 8 - 11 of 15

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## Question number: 8

» Statistical Inference and Hypothesis Testing » Minimum Variance Unbiased Estimators

MCQ▾

### Question

If and are two estimators for , such that and , then

### Choices

Choice (4) Response

a.

b.

c.

Either or

d.

Question does not provide sufficient data or is vague

## Question number: 9

» Statistical Inference and Hypothesis Testing » Minimum Variance Unbiased Estimators

MCQ▾

### Question

For a normal population , both sample mean and sample median are unbiased and consistent estimators of . In this case, which one will be the efficient estimator?

### Choices

Choice (4) Response

a.

Sample mean is more efficient estimator of than the sample median.

b.

Sample median is more efficient estimator of than the sample mean

c.

Sample mean and Sample median are equally efficient

d.

All of the above

## Question number: 10

» Statistical Inference and Hypothesis Testing » Minimum Variance Unbiased Estimators

MCQ▾

### Question

Suppose are the unbiased estimators of with Efficiencies and respectively. and is the correlation coefficient between them. Then

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 11

» Statistical Inference and Hypothesis Testing » Minimum Variance Unbiased Estimators

MCQ▾

### Question

If and are two unbiased estimators of based on the random sample , then is said to be UMVUE if and only if

### Choices

Choice (4) Response

a.

b.

c.

d.

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