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

Choose Programs

📹 Video Course 2025 (47 Lectures [19 hrs : 47 mins]): Offline Support

Rs. 150.00View & Get Complete Material

Price Per Month, with 3/6/12-Month Discounts

🎓 Study Material (337 Notes): 2025-2026 Syllabus

Rs. 450.00View & Get Complete Material

3 Year Validity

🎯 1154 MCQs (& PYQs) with Explanations (2025-2026 Exam)

Rs. 450.00View & Get Complete Material

3 Year Validity

Question 7

MCQ

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

If x 1 , x 2 , … , x n is a random sample from a Bernoulli population with parameter θ , then [ ∑ x i ( ∑ x i − 1 ) ] n ( n − 1 ) is

Choices

Choice (4)Response

a.

An unbiased estimator of θ 2 + 1

b.

An unbiased estimator of θ 2

c.

A biased estimator of θ 2

d.

All of the above.

To view these problems with solutions proceed here and click "Subscribe Now".

Question 8

MCQ

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

If x 1 , x 2 , … , x n is a random sample drawn from a population which takes the values 1 or 0 with respective probabilities θ and ( 1 − θ ) , then [ ∑ x i ( ∑ x i − 1 ) ] n ( n − 1 ) is

Choices

Choice (4)Response

a.

An unbiased estimator of θ 2

b.

A biased estimator of θ 2

c.

An unbiased estimator of θ 2 + 1

d.

Question does not provide sufficient information or is vague.

To view these problems with solutions proceed here and click "Subscribe Now".

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

To view these problems with solutions proceed here and click "Subscribe Now".

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.

To view these problems with solutions proceed here and click "Subscribe Now".

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

To view these problems with solutions proceed here and click "Subscribe Now".

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

To view these problems with solutions proceed here and click "Subscribe Now".