Statistical Inference and Hypothesis Testing-Characteristics of Good Estimator (ISS Statistics Paper II (New 2016 MCQ Pattern)): Questions 1 - 5 of 54

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Question number: 1

» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator

MCQ▾

Question

If θ^1 and θ^2 are two unbiased estimators of θ . Then

θ^3=aθ^1+(1a)θ^2,0a1 is a

Choices

Choice (4) Response

a.

Positively biased estimator

b.

Unbiased estimator

c.

Biased estimator

d.

Negatively biased estimator

Question number: 2

» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator

MCQ▾

Question

A function for estimating a parameter is called as:

Choices

Choice (4) Response

a.

Statistic

b.

Estimation

c.

Estimate

d.

Estimator

Question number: 3

» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator

MCQ▾

Question

If Xi are normally distributed random variables with mean μ and variance σ2 , Then the unbiased estimator of σ2 is -

Choices

Choice (4) Response

a.

S2=1n1i=1n(xix)2

b.

S2=1ni=1n(xix)2

c.

All of the above

d.

Question does not provide sufficient data or is vague

Question number: 4

» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator

MCQ▾

Question

Suppose we have two consistent estimators θ^1 and θ^2 of a parameter θ , then θ^1 is more efficient than θ^2 if

Choices

Choice (4) Response

a.

E(θ^1)>E(θ^2)

b.

Var(θ^1)<Var(θ^2)

c.

E(θ^1)<E(θ^2)

d.

Var(θ^1)>Var(θ^2)

Question number: 5

» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator

MCQ▾

Question

A random sample X1,X2,X3,X4,X5 of size 5 is drawn from a normal population with unknown mean μ . Then T1=X1+X22+X3 is a unbised estimator of

Choices

Choice (4) Response

a.

μ

b.

2μ

c.

3μ+1

d.

μ1

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