Statistical Inference and Hypothesis Testing-Characteristics of Good Estimator (ISS Statistics Paper II (New 2016 MCQ Pattern)): Questions 49 - 54 of 54

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Question number: 49

» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator

MCQ▾

Question

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

Choices

Choice (4) Response

a.

1θ

b.

c.

θ

d.

θ2

Question number: 50

» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator

MCQ▾

Question

An estimator is efficient, if its variance is________ the variance of any other estimator.

Choices

Choice (4) Response

a.

More than

b.

Similar to

c.

Less than

d.

Either b or c

Question number: 51

» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator

MCQ▾

Question

An estimator is considered to be the best if its distribution is

Choices

Choice (4) Response

a.

Concentrated about the true parameter value

b.

Normal

c.

Discrete

d.

Continuous

Question number: 52

» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator

MCQ▾

Question

Efficiency of sample median as compared to mean as an estimate of the mean of a normal population is:

Choices

Choice (4) Response

a.

22 percent

b.

360 percent

c.

64 percent

d.

157 percent

Question number: 53

» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator

MCQ▾

Question

If T1 is the most efficient estimator with variance V1 and T2 is any other estimator with variance V2 , then the efficiency E of T2 is defined as

Choices

Choice (4) Response

a.

E=V1V2

b.

E=V1V2

c.

E=V1*V2

d.

E=V1+V2

Question number: 54

» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator

MCQ▾

Question

For a normal population (μ,σ2) , the variance of the sample mean and sample variance are given by V(x¯)=σ2n and V(MD)=πσ22n . Then which of the following is true?

Choices

Choice (4) Response

a.

Sample mean is more efficient estimator for μ than the sample median

b.

Sample mean and Sample median are efficient

c.

Sample median is more efficient estimator for μ than the sample mean

d.

All of the above

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