Statistical Inference and Hypothesis Testing [ISS (Statistical Services) Statistics Paper II]: Questions 8 - 12 of 220

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Question 8

Question MCQ▾

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

Choices

Choice (4)Response

a.

Estimation

b.

Statistic

c.

Estimate

d.

Estimator

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Question 9

Question MCQ▾

In sampling from a population, the sample mean is a consistent estimator of

Choices

Choice (4)Response

a.

+ 1

b.

c.

d.

All of the above

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Question 10

Question MCQ▾

Let be random sample from a population with mean . Then is

Choices

Choice (4)Response

a.

Unbiased estimator of

b.

Unbiased estimator of

c.

Biased estimator of

d.

Question does not provide sufficient data or is vague

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Question 11

Question MCQ▾

Let be a random sample of size n = 3 from a distribution with mean and variance . If , and . Which one is the best estimator in terms of variance?

Choices

Choice (4)Response

a.

b.

c.

d.

All of the above

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Question 12

Question MCQ▾

Let be a random sample of size n with mean and variance Then which of the following statements is true?

Choices

Choice (4)Response

a.

The sample mean and sample variance are biased estimators

b.

The sample mean and sample variance are unbiased estimators of the mean and variance of the underlying distribution.

c.

Sample mean is unbiased estimator and sample variance is biased estimator.

d.

None of the above

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