Statistical Inference and Hypothesis Testing-Confidence Interval Estimation (ISS Statistics Paper II (New 2016 MCQ Pattern)): Questions 61 - 65 of 73

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Question number: 61

» Statistical Inference and Hypothesis Testing » Confidence Interval Estimation

MCQ▾

Question

(1α)100% Confidence intervals for the parameters μ , of the Normal distribution having density function N(μ,σ2) , in case of unknown variance σ2 , is given by

Choices

Choice (4) Response

a.

x¯tα2,nsnμx¯tα2,n

b.

χ21(α/2)ns2σ2χ2(α/2)

c.

x¯tα2,(n1)snμx¯tα2,(n1)

d.

None of the above

Question number: 62

» Statistical Inference and Hypothesis Testing » Confidence Interval Estimation

MCQ▾

Question

The width of the confidence interval depends on the

Choices

Choice (4) Response

a.

Critical Value

b.

Standard error.

c.

Level of confidence

d.

All a. , b. and c. are correct

Question number: 63

» Statistical Inference and Hypothesis Testing » Confidence Interval Estimation

MCQ▾

Question

If we decrease the sample size, keeping the confidence level the same, then the length of the confidence interval will

Choices

Choice (4) Response

a.

Decrease

b.

Cannot be determined with the given information

c.

Increase

d.

It will stay the same

Question number: 64

» Statistical Inference and Hypothesis Testing » Confidence Interval Estimation

MCQ▾

Question

As the sample size increases the length of the confidence interval………….

Choices

Choice (4) Response

a.

Increases

b.

Cannot be determined with the given information

c.

Decreases

d.

It will stay the same

Question number: 65

» Statistical Inference and Hypothesis Testing » Confidence Interval Estimation

MCQ▾

Question

Formula for obtaining 95 % confidence limits for the mean μ of a Normal population with mean μ and standard deviation σ are

Choices

Choice (4) Response

a.

P(1.96Z1.96)=0.95

b.

P(1.96x¯μσn1.96)=0.95

c.

x¯±1.96σn

d.

All a. , b. and c. are correct

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