Statistical Inference and Hypothesis Testing (ISS Statistics Paper II (New 2016 MCQ Pattern)): Questions 145 - 148 of 222

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Question number: 145

» 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: 146

» Statistical Inference and Hypothesis Testing » Minimum Variance Unbiased Estimators

MCQ▾

Question

If T1 and T2 are two unbiased estimators of γ(θ) based on the random sample X1,X2,Xn , then T1 is said to be UMVUE if and only if

Choices

Choice (4) Response
a.

V(T1)=V(T2)

b.

V(T1)>V(T2)

c.

V(T1)<V(T2)

d.

V(T1)V(T2)

Question number: 147

» Statistical Inference and Hypothesis Testing » Simple and Composite Hypotheses

MCQ▾

Question

The hypothesis H0:μ<μ0,σ2<σ20 is known as

Choices

Choice (4) Response
a.

Composite Hypothesis

b.

Simple Hypothesis

c.

Null Hypothesis

d.

Alternative Hypothesis

Question number: 148

» Statistical Inference and Hypothesis Testing » Factorization Theorem

MCQ▾

Question

If x1,x2,..,xn is a random sample from a density function f(xi;θ) for a<xi<b where aandb are independent of θ , then any statistics t1=t1(x1,x2,..,xn) will be called as sufficient statistics if the joint probability density function can be expressed as

Choices

Choice (4) Response
a.

g1(t1,θ).h(x1,x2,..,xn;θ)

b.

g1(t1,θ).h(x1,x2,..,xn)

c.

g1(t1,xi).h(x1,x2,..,xn)

d. Question does not provide sufficient data or is vague

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