Statistical Inference and Hypothesis Testing-Confidence Interval Estimation (ISS Statistics Paper II (New 2016 MCQ Pattern)): Questions 30 - 33 of 73

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Question number: 30

» Statistical Inference and Hypothesis Testing » Confidence Interval Estimation

MCQ▾

Question

The 95 % confidence interval for μ of the normal population is given by

Choices

Choice (4) Response

a.

x¯±0.025σn

b.

x¯±2.58σn

c.

x¯±1.96σn

d.

x¯±0.01σn

Question number: 31

» Statistical Inference and Hypothesis Testing » Confidence Interval Estimation

MCQ▾

Question

A range computed using sample statistics to estimate an unknown population parameter with a given level of confidence is known as

Choices

Choice (4) Response

a.

Confidence interval

b.

Time interval

c.

Normal interval

d.

Maximum Interval

Question number: 32

» Statistical Inference and Hypothesis Testing » Confidence Interval Estimation

MCQ▾

Question

Formula for 95 % Confidence interval for the variance σ2 of the Normal distribution N(μ,σ2), when μ is known, is given by

Choices

Choice (4) Response

a.

P[ns2χ20.025σ2ns2χ20.025]=0.95

b.

P[ns2χ20.975σ2ns2χ20.975]=0.95

c.

P[ns2χ20.025σ2ns2χ20.975]=0.95

d.

P[ns2χ20.975σ2ns2χ20.025]=0.95

Question number: 33

» 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

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