Statistical Inference and Hypothesis Testing (ISS Statistics Paper II (New 2016 MCQ Pattern)): Questions 153 - 155 of 222

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Question number: 153

» Statistical Inference and Hypothesis Testing » Confidence Interval Estimation

MCQ▾

Question

A 95 % confidence interval is shown as 60.84<μ<96.5 . This means

Choices

Choice (4) Response

a.

Probability that μ 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: 154

» Statistical Inference and Hypothesis Testing » Minimum Variance Unbiased Estimators

MCQ▾

Question

If T1 is an MVU estimator of γ(θ) for all θΘ and T2 is any other unbiased estimator of γ(θ) with efficiency e=eθ , then the correlation coefficient between T1andT2 is given by

ρ=e all θΘ

Choices

Choice (4) Response

a.

ρ=12e for all θΘ

b.

ρ=e2 for all θΘ

c.

ρ= 1e for all θΘ

d.

ρ=e for all θΘ

Question number: 155

» Statistical Inference and Hypothesis Testing » Confidence Interval Estimation

MCQ▾

Question

In a college survey, children were asked how many hours they study per day. A sample of 22 children is collected. The mean was 3.25 hours with a standard deviation of 1.57 hours. Then 95 % and 99 % confidence interval for the number of hours of study per day is

Choices

Choice (4) Response

a.

[3.25, 5.33] and [5.33, 4.19]

b.

[1.17, 1.57] and [3.1, 4.19]

c.

[1.17, 5.33] and [2.30, 4.19]

d.

All of the above

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