# ISS (Statistical Services) Statistics Paper II (New 2016 MCQ Pattern): Questions 33 - 37 of 253

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## Question number: 33

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MCQ▾

### Question

In sampling from a population, the sample mean is a consistent estimator of

### Choices

Choice (4)Response

a.

+1

b.

c.

d.

All of the above

## Question number: 34

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MCQ▾

### Question

Let be random sample from a population with mean . Then is

### Choices

Choice (4)Response

a.

Unbiased estimator of

b.

Unbiased estimator of

c.

Biased estimator of

d.

Question does not provide sufficient data or is vague

## Question number: 35

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MCQ▾

### Question

Let be a random sample of size n = 3 from a distribution with mean and variance . If , and . Which one is the best estimator in terms of variance?

### Choices

Choice (4)Response

a.

b.

c.

d.

All of the above

## Question number: 36

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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 biased estimators

b.

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

c.

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

d.

None of the above

## Question number: 37

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MCQ▾

### Question

Bias of an estimator can be:

### Choices

Choice (4)Response

a.

Zero

b.

Positive

c.

Negative

d.

Both b. and c. are correct

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