Statistical Inference and Hypothesis Testing (ISS Statistics Paper II (New 2016 MCQ Pattern)): Questions 193 - 196 of 222

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Question number: 193

» Statistical Inference and Hypothesis Testing » Confidence Interval Estimation

MCQ▾

Question

Let X1,X2,,Xn be a random sample and T1=t1(X1,X2,,Xn) and T2=t2(X1,X2,,Xn) be any two statistics such that T1<T2 , then the confidence limits for a parametric function τ(θ) of θ can be obtained by the relation

Choices

Choice (4) Response

a.

Pθ(T1>θ)=α1 and Pθ(T2<θ)=α2

b.

Pθ(T1<θ)=α1 and Pθ(T2<θ)=α2

c.

Pθ(T1>θ)=α1 and Pθ(T2>θ)=α2

d.

Question does not provide sufficient data or is vague

Question number: 194

» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator

MCQ▾

Question

An estimator is considered to be the best if its distribution is

Choices

Choice (4) Response

a.

Concentrated about the true parameter value

b.

Normal

c.

Discrete

d.

Continuous

Question number: 195

» Statistical Inference and Hypothesis Testing » Sufficient Estimator

MCQ▾

Question

If a statistic T=t(x1,x2,..,xn) provides as much information as the random variable T=x1,x2,..,xn could provide, Then T is a ________ Statistic

Choices

Choice (4) Response

a.

Efficient

b.

Unbiased

c.

Sufficient

d.

Consistent

Question number: 196

» 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

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