Statistical Inference and Hypothesis Testing (ISS Statistics Paper II (New 2016 MCQ Pattern)): Questions 34 - 38 of 222

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Question number: 34

» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator

MCQ▾

Question

Let X1,X2,X3 be a sample of size n = 3 from a distribution with mean μ and variance σ2 . Then θ^1=X and θ^2=[(2X1+X2+5X3)8] are

Choices

Choice (4) Response
a.

Only θ^1 is unbiased estimator

b.

θ^1 and θ^2 are biased estimators

c.

θ^1 and θ^2 are unbiased estimators

d. None of the above

Question number: 35

» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator

MCQ▾

Question

The mean of a random sample X is always an unbiased estimate of the population mean μ. This statement is

Choices

Choice (4) Response
a.

True for all distributions

b.

False

c.

True only for binomial distribution

d. All of the above

Question number: 36

» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator

MCQ▾

Question

If θ^ is the estimator of the parameter θ , then θ^ is called unbiased if:

Choices

Choice (4) Response
a.

E(θ^)θ

b.

E(θ^)>θ

c.

E(θ^)=θ

d.

E(θ^)<θ

Question number: 37

» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator

MCQ▾

Question

Estimate is the observed value of an:

Choices

Choice (4) Response
a.

Statistical hypothesis

b.

Stastical Inference

c.

Estimator

d. None of the above

Question number: 38

» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator

MCQ▾

Question

If x1,x2,,xn is a random sample drawn from a population which takes the values 1 or 0 with respective probabilities θ and (1θ) , then [xi(xi1)]n(n1) is

Choices

Choice (4) Response
a.

An unbiased estimator of θ2

b.

An unbiased estimator of θ2+1

c.

A biased estimator of θ2

d. All of the above

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