Statistical Inference and Hypothesis Testing (ISS Statistics Paper II (New 2016 MCQ Pattern)): Questions 25 - 28 of 222

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Question number: 25

» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator

MCQ▾

Question

If S2 is the variance of a random sample from an infinite population with mean μ and finite variance σ2 . Then S2=1n1i=1n(xix)2 is -

Choices

Choice (4) Response
a.

Biased estimator of σ2

b.

E(S2)σ2

c.

Unbiased estimator of σ2

d. Question does not provide sufficient data or is vague

Question number: 26

» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator

MCQ▾

Question

Let x1,x2,,xn be a random sample of size n from a large population X1,X2,,Xn with mean μ and variance σ2 . Which of the following statement is correct?

Choices

Choice (4) Response
a.

E(x)=μandE(s2)=σ2

b.

E(x)=μandE(s2)σ2

c.

E(x)μandE(s2)σ2

d. All of the above

Question number: 27

» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator

MCQ▾

Question

If X1,X2,,Xn , _is a random sample of size n, from f(x;θ) , a statistic

T=t(X1,X2,,Xn) is an unbiased estimator of θ if E(T)=θ

Choices

Choice (4) Response
a.

If E(T)=0

b.

If E(T)<θ

c.

If E(T)=θ

d.

If E(T)>θ

Question number: 28

» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator

MCQ▾

Question

If an estimator Tn of parameter θ , converges in probability to the true value of θ , then the estimator is called as

Choices

Choice (4) Response
a.

Consistent estimator

b.

Biased Estimator

c.

Unbiased estimator

d. All of the above

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