ISS (Statistical Services) Statistics Paper II (New 2016 MCQ Pattern): Questions 55 - 59 of 253

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Question number: 55

» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator

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MCQ▾

Question

A biased estimator is consistent if

Choices

Choice (4) Response

a.

b.

c.

d.

None of the above

Question number: 56

» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator

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A random sample of size 5 is drawn from a normal population with unknown mean . Then is a unbiased estimator of

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 57

» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator

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Question

For normal distribution

Choices

Choice (4) Response

a.

Sample median is more efficient estimator. Since,

b.

Sample median is more efficient estimator than the sample mean. Since,

c.

Sample mean is more efficient estimator than the sample median. Since,

d.

Question does not provide sufficient data or is vague

Question number: 58

» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator

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MCQ▾

Question

Let be a sample of size n = 3 from a distribution with mean and variance . Then and are

Choices

Choice (4) Response

a.

Only is unbiased estimator

b.

and are unbiased estimators

c.

and are biased estimators

d.

All of the above

Question number: 59

» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator

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MCQ▾

Question

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

Choices

Choice (4) Response

a.

True only for binomial distribution

b.

False

c.

True for all distributions

d.

All of the above