ISS (Statistical Services) Statistics Paper II (New 2016 MCQ Pattern): Questions 44 - 48 of 253

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Question 44

Question

MCQ▾

If the mean of the estimator is not equal to the population parameter, the estimator is said to be:

Choices

Choice (4)Response

a.

Unbiased

b.

Negatively biased

c.

Biased

d.

Positively biased

Question 45

Question

MCQ▾

If is a random sample from a Bernoulli population with parameter , then is

Choices

Choice (4)Response

a.

An unbiased estimator of

b.

A biased estimator of

c.

An unbiased estimator of + 1

d.

Question does not provide sufficient data or is vague

Question 46

Question

MCQ▾

If are normally distributed random variables with mean μ and variance , then sample variance is

Choices

Choice (4)Response

a.

Not an unbiased estimate of population variance

b.

Unbiased estimate of population variance

c.

d.

Both a. and c. are correct

Question 47

Question

MCQ▾

Let be a random sample from a uniform population on [0, ] . Then the sufficient estimator for is

Choices

Choice (4)Response

a.

b.

c.

Question does not provide sufficient data or is vague

d.

All of the above

Question 48

Question

MCQ▾

A random sample of size 5 is drawn from a normal population with mean and . And if , , Which one is the best estimator in terms of variance?

Choices

Choice (4)Response

a.

b.

c.

d.

Question does not provide sufficient data or is vague