ISS Statistics Paper II (New 2016 MCQ Pattern): Questions 125 - 128 of 246

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Question number: 125

» Statistical Inference and Hypothesis Testing » Confidence Interval Estimation

MCQ▾

Question

For the Confidence Interval x¯±Zα2σn we use……. . and For the Confidence Interval x¯±tα2sn we use ……. .

Choices

Choice (4) Response

a.

Z -table, t- table

b.

t -table, Z- table

c.

Z -table, Poisson table

d.

Question does not provide sufficient data or is vague

Question number: 126

» Statistical Inference and Hypothesis Testing » Complete Statistics

MCQ▾

Question

If f(x;θ) is a family of distributions and h(T) is any statistic then f(x;θ) is said to be complete for θ if

Choices

Choice (4) Response

a.

Varθ[h(T)]=0

b.

Eθ[h(T)]=1

c.

Eθ[h(T)]>0

d.

Eθ[h(T)]=0

Question number: 127

» Statistical Inference and Hypothesis Testing » Estimation Methods of Maximum Likelihood

MCQ▾

Question

A value of a parameter θ which maximises the Likelihood function is known as ________ estimate of θ

Choices

Choice (4) Response

a.

Efficient Estimator

b.

Sufficient Estimator

c.

Complete Statistics

d.

Maximum Likelihood Estimator

Question number: 128

» Statistical Inference and Hypothesis Testing » Confidence Interval Estimation

MCQ▾

Question

A (1α)100% confidence interval for σ2 of the Normal distribution, when μ is unknown is given by

Choices

Choice (4) Response

a.

(ns2χ2(α/2),ns2χ2(1(α/2)))

b.

((n1)s2χ2(α/2),(n1)s2χ2(1(α/2)))

c.

((n1)s2t(α/2),(n1)s2t(1(α/2)))

d.

None of the above

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