Statistical Inference and Hypothesis Testing-Characteristics of Good Estimator (ISS Statistics Paper II (New 2016 MCQ Pattern)): Questions 39 - 44 of 54

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Question number: 39

» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator

MCQ▾

Question

A statistic is biased if the mean of the sampling distribution of the statistic is

Choices

Choice (4) Response

a.

Equal to the parameter

b.

Not equal to the parameter.

c.

Less than the parameter

d.

Question does not provide sufficient data or is vague

Question number: 40

» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator

MCQ▾

Question

The mean of a random sample X is always a consistent estimator of the population mean μ. This statement is

Choices

Choice (4) Response

a.

True for all distributions

b.

False

c.

True only for Bernoulli distribution

d.

All of the above

Question number: 41

» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator

MCQ▾

Question

1ni=1nXi(i=1, 2,n) is an ________ where as x¯=1ni=1nxi is an ________

Choices

Choice (4) Response

a.

Estimate and an estimator

b.

Estimator and an estimate

c.

Question does not provide sufficient data or is vague

d.

All of the above

Question number: 42

» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator

MCQ▾

Question

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

Choices

Choice (4) Response

a.

64 percent

b.

157 percent

c.

360 percent

d.

22 percent

Question number: 43

» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator

MCQ▾

Question

If the expected value of an estimator is not equal to its parametric function τ(θ) , it is said to be a

Choices

Choice (4) Response

a.

Unbiased estimator

b.

Consistent estimator

c.

Biased estimator

d.

Sufficient estimator

Question number: 44

» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator

MCQ▾

Question

If an estimator Tn of population parameter θ converges in probability to θ as n tends to infinity is said to be

Choices

Choice (4) Response

a.

Efficient

b.

Consistent

c.

Unbiased

d.

Sufficient

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