ISS (Statistical Services) Statistics Paper II (New 2016 MCQ Pattern): Questions 174 - 178 of 253

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Question number: 174

» Statistical Inference and Hypothesis Testing » Confidence Interval Estimation

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MCQ▾

Question

Formula for 95 % Confidence interval for the variance of the Normal distribution when is known, is given by

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 175

» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator

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MCQ▾

Question

For a normal population , the variance of the sample mean and sample variance are given ‎ . Then the efficiency of mean against median is

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 176

» Statistical Inference and Hypothesis Testing » Rao-Blackwell Theorem

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MCQ▾

Question

Rao-Blackwell Theorem enables us to obtain MVUE through:

Choices

Choice (4) Response

a.

Sufficient statistics

b.

Unbiased Estimator

c.

Complete Statistics

d.

Efficient statistics

Question number: 177

» Statistical Inference and Hypothesis Testing » Confidence Interval Estimation

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MCQ▾

Question

A 95 % confidence interval is shown as . This means

Choices

Choice (4) Response

a.

Probability that lies in the interval 60.84 and 96.5 is 0.95

b.

The length of the confidence interval is 35.66

c.

60.84 and 96.5 are 95 percent confidence limits

d.

All a. , b. and c. are correct

Question number: 178

» Statistical Inference and Hypothesis Testing » Minimum Variance Unbiased Estimators

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Question

If is an MVU estimator of for all and is any other unbiased estimator of with efficiency , then the correlation coefficient between is given by

all

Choices

Choice (4) Response

a.

for all

b.

for all

c.

for all

d.

for all