Question 7-12 of 144: Estimation | CUET (Common University Entrance Test) PG Statistics, Applied Mathematics (SCQP27) | Includes PYQs | Get Solutions with Detailed Explanations

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Question 7

MCQ

Read the question, then carefully choose the correct answer(s).

If x1,x2,,xn is a random sample from a Bernoulli population with parameter θ , then [xi(xi1)]n(n1) is

Choices

Choice (4)Response

a.

An unbiased estimator of θ2 + 1

b.

An unbiased estimator of θ2

c.

A biased estimator of θ2

d.

All of the above.

Question 8

MCQ

Read the question, then carefully choose the correct answer(s).

If x1,x2,,xn is a random sample drawn from a population which takes the values 1 or 0 with respective probabilities θ and (1θ) , then [xi(xi1)]n(n1) is

Choices

Choice (4)Response

a.

An unbiased estimator of θ2

b.

A biased estimator of θ2

c.

An unbiased estimator of θ2+1

d.

Question does not provide sufficient information or is vague.

Question 9

MCQ

Read the question, then carefully choose the correct answer(s).

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

Choices

Choice (4)Response

a.

Estimate

b.

Statistic

c.

Estimation

d.

Estimator

Question 10

MCQ

Read the question, then carefully choose the correct answer(s).

Estimate is the observed value of an:

Choices

Choice (4)Response

a.

Stastical Inference

b.

Estimator

c.

Statistical hypothesis

d.

All of the above.

Question 11

MCQ

Read the question, then carefully choose the correct answer(s).

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

Choices

Choice (4)Response

a.

Negatively biased

b.

Unbiased

c.

Positively biased

d.

Biased

Question 12

MCQ

Read the question, then carefully choose the correct answer(s).

The difference between the expected value of an estimator and the value of the corresponding parameter is called:

Choices

Choice (4)Response

a.

Standard error

b.

Bias

c.

Error of estimation

d.

Sampling error