Statistical Inference and Hypothesis Testing (ISS Statistics Paper II (New 2016 MCQ Pattern)): Questions 141 - 144 of 222

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Question number: 141

» Statistical Inference and Hypothesis Testing » Confidence Interval Estimation

MCQ▾

Question

Suppose there is a survey carried out on 200 persons and the calculated mean and Standard Deviation are 5.83 and 0.86 respectively, then the confidence interval of 95 % of the population mean would be

Choices

Choice (4) Response
a.

[3.89, 5.89]

b.

[5.71, 5.95]

c.

[4.96, 5.71]

d. Question does not provide sufficient data or is vague

Question number: 142

» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator

MCQ▾

Question

Relative efficiency of an estimator T1 as compared to T2 is given as

Choices

Choice (4) Response
a.

E=E(T2)E(V2)

b.

E=Var(T2)Var(V2)

c.

E=Var(T2)Var(V2)

d.

E=E(T1)E(T2)

Question number: 143

» Statistical Inference and Hypothesis Testing » Cramer-Rao Inequality

MCQ▾

Question

Cramer-Rao inequality with regard to the variance of an estimator provides

Choices

Choice (4) Response
a.

Asymptotic variance of an estimator

b.

Upper bound on the variance

c.

Lower bond on the variance

d. Question does not provide sufficient data or is vague

Question number: 144

» Statistical Inference and Hypothesis Testing » Confidence Interval Estimation

MCQ▾

Question

If x¯ and s are the mean and standard deviation of a random sample from a Normal distribution with unknown variance σ2 , a 100(1α) percent confidence interval on μ is given by

Choices

Choice (4) Response
a.

x¯zα2,(n1)snμx¯zα2,(n1)

b.

χ21(α/2)ns2σ2χ2(α/2)

c.

x¯tα2,(n1)snμx¯tα2,(n1)

d. All of the above

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