ISS (Statistical Services) Statistics Paper II (New 2016 MCQ Pattern): Questions 197 - 202 of 253

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Question number: 197

» Statistical Inference and Hypothesis Testing » Minimum Variance Unbiased Estimators

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MCQ▾

Question

If and are two Minimum Variance Unbiased (MVU) estimators for then

Choices

Choice (4)Response

a.

Either or

b.

c.

d.

All of the above

Question number: 198

» Statistical Inference and Hypothesis Testing » Moments and Least Squares

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MCQ▾

Question

For a simple linear model , the normal equations for estimating the values values of and by the method of least square will be

Choices

Choice (4)Response

a.

and

b.

and

c.

and

d.

None of the above

Question number: 199

» Statistical Inference and Hypothesis Testing » Confidence Interval Estimation

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MCQ▾

Question

Confidence intervals for the parameters , of the Normal distribution having density function , in case of known variance , is given by

Choices

Choice (4)Response

a.

b.

c.

d.

All of the above

Question number: 200

» Statistical Inference and Hypothesis Testing » Sufficient Estimator

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MCQ▾

Question

Let be a random sample from . Then the sufficient estimator for is

Choices

Choice (4)Response

a.

b.

c.

d.

Question does not provide sufficient data or is vague

Question number: 201

» Statistical Inference and Hypothesis Testing » Confidence Interval Estimation

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MCQ▾

Question

Degrees of freedom for the mean in case of large sample size is…………; and in case of for the small sample size is……. .

Choices

Choice (4)Response

a.

and

b.

and

c.

and

d.

and n

Question number: 202

» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator

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MCQ▾

Question

In a class of consistent estimators for a parameter, which one will you consider as the most efficient estimator?

Choices

Choice (4)Response

a.

One whose mean is less than the other estimators.

b.

One whose mean and variance both are less than the other estimators.

c.

One whose sampling variance is less than the other estimators.

d.

None of the above

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