ISS Statistics Paper II (New 2016 MCQ Pattern): Questions 29 - 34 of 246

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Question number: 29

» 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

Question number: 30

» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator

MCQ▾

Question

Let x1,x2,.,xn be a random sample from Bernoulli population with parameter p , 0<p<1 . If T=i=1nxi ,

Choices

Choice (4) Response
a.

Is not sufficient for p

b.

Is Sufficient for p

c.

The conditional distribution does not depend on p

d. Both b. and c. are correct

Question number: 31

» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator

MCQ▾

Question

If T is an unbiased estimator for θ , then T2 is

Choices

Choice (4) Response
a.

Biased estimator of θ2

b.

Unbiased estimator θ2

c. None of the above
d. Question does not provide sufficient data or is vague

Question number: 32

» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator

MCQ▾

Question

A formula or rule used for estimating the parameter is called:

Choices

Choice (4) Response
a.

Estimate

b.

Statistic

c.

Estimation

d.

Estimator

Question number: 33

» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator

MCQ▾

Question

In sampling from a N(μ,σ2) population, the sample mean is a consistent estimator of

Choices

Choice (4) Response
a.

μ

b.

μ +1

c.

μ2

d. All of the above

Question number: 34

» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator

MCQ▾

Question

Let X1,X2,,Xn be random sample from a population with mean μ . Then 13X+23X1 is

Choices

Choice (4) Response
a.

Unbiased estimator of μ

b.

Biased estimator of μ1

c.

Unbiased estimator of μ2

d. All of the above

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