Statistical Inference and Hypothesis Testing-Characteristics of Good Estimator (ISS Statistics Paper II (New 2016 MCQ Pattern)): Questions 29 - 33 of 54

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Question number: 29

» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator

MCQ▾

Question

The difference between the expected value of an estimator and the value of the corresponding parameter is called:

Choices

Choice (4) Response
a.

Error of estimation

b.

Sampling error

c.

Standard error

d.

Bias

Question number: 30

» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator

MCQ▾

Question

Let X1,X2,X3 be a random sample of size n = 3 from a distribution with mean μ and variance σ2 . Then T=2X1+3X34X2 is a unbiased estimator of

Choices

Choice (4) Response
a.

μ1

b.

3μ

c.

μ+1

d.

μ

Question number: 31

» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator

MCQ▾

Question

A biased estimator is consistent if

Choices

Choice (4) Response
a.

Var(θ^n)<B(θ^n)

b.

Var(θ^n)0andB(θ^n)0asn

c.

Var(θ^n)θandB(θ^n)θasn

d. None of the above

Question number: 32

» 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+X2+X3+X4+X55 is a unbiased estimator of

Choices

Choice (4) Response
a.

μ+1

b.

μ

c.

3μ

d.

μ1

Question number: 33

» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator

MCQ▾

Question

For normal distribution

Choices

Choice (4) Response
a.

Sample mean is more efficient estimator than the sample median. Since, V(x)<V(Md)

b.

Sample median is more efficient estimator than the sample mean. Since, V(Md)<V(Md)

c.

Sample median is more efficient estimator. Since, E(Md)=0

d. None of the above

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