# ISS (Statistical Services) Statistics Paper II (New 2016 MCQ Pattern): Questions 135 - 139 of 253

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## Question number: 135

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MCQ▾

### Question

Which of the following properties of MLE is not correct?

### Choices

Choice (4) Response

a.

MLE is always unique

b.

If a sufficient statistic exists, it is a function of the Maximum Likelihood estimators.

c.

If a minimum variance bound (MVB) unbiased estimator exists, maximum likelihood estimator provides it.

d.

When maximum likelihood estimators exists, it is most efficient for large samples under the assumptions that the distribution of the estimators tends to normal.

## Question number: 136

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MCQ▾

### Question

It is given that sample size , sample mean and sample standard deviation . Then 95 % Confidence Interval would be

### Choices

Choice (4) Response

a.

b.

c.

d.

None of the above

## Question number: 137

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MCQ▾

### Question

It is given that , and . Then the 95 % Confidence Interval for is

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 138

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MCQ▾

### Question

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

### Choices

Choice (4) Response

a.

b.

c.

Either or

d.

None of the above

## Question number: 139

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MCQ▾

### Question

Generally the estimators obtained by the method of moments as compared to Maximum Likelihood estimators are:

### Choices

Choice (4) Response

a.

Equally Efficient

b.

More Efficient

c.

Less Efficient

d.

All of the above