# Statistical Inference and Hypothesis Testing (ISS Statistics Paper II (New 2016 MCQ Pattern)): Questions 42 - 46 of 222

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## Question number: 42

» Statistical Inference and Hypothesis Testing » Minimum Variance Unbiased Estimators

MCQ▾

### Question

If

Where is any other unbiased estimator of . Then the statistic is known as

### Choices

Choice (4) Response

a.

Minimum Variance Unbiased Estimator (MVUE)

b.

Sufficient Estimator

c.

Efficient Estimator

d.

Consistent Estimator

## Question number: 43

» Statistical Inference and Hypothesis Testing » Estimation Methods of Maximum Likelihood

MCQ▾

### Question

In a random sampling from Normal population the likelihood estimators of mean and variance are

### Choices

Choice (4) Response

a.

Variance is Unbiased

b.

Mean is biased

c.

Both a. and b. are correct

d.

Question does not provide sufficient data or is vague

## Question number: 44

» Statistical Inference and Hypothesis Testing » Estimation Methods of Maximum Likelihood

MCQ▾

### Question

MLE’s are always consistent and unbiased estimators. This statement is

### Choices

Choice (4) Response

a.

False

b.

True

c.

Always Unbiased estimators

d.

Question does not provide sufficient data or is vague

## Question number: 45

» Statistical Inference and Hypothesis Testing » Estimation Methods of Maximum Likelihood

MCQ▾

### Question

In a random sampling from Normal population the Maximum Likelihood estimator for is

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 46

» Statistical Inference and Hypothesis Testing » Estimation Methods of Maximum Likelihood

MCQ▾

### Question

The estimate of the of a population having density function

is

### Choices

Choice (4) Response

a.

Not an Unbiased estimate of

b.

Unbiased estimate of

c.

Unbiased estimate of

d.

Question does not provide sufficient data or is vague

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