Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Question:

Which of the following statements are correct about the "Central Limit Theorem" ?

(A) The sampling distribution of the sample mean approaches the normal distribution as the sample size gets larger.
(B) A sample size of 30 or more is considered to be sufficient to hold the "Central Limit Theorem".
(C) As the sample size becomes larger, the prediction of characteristics of the population becomes more accurate.
(D) The sampling distribution of the sample mean approaches a bell shaped curve as the sample size gets larger.

Choose the correct answer from the options given below:

Options:

(A), (B) and (D) only

(A), (B) and (C) only

(A), (B), (C) and (D)

(C) and (D) only

Correct Answer:

(A), (B), (C) and (D)

Explanation:

The correct answer is Option (3) → (A), (B), (C) and (D)

Correct statements about Central Limit Theorem (CLT):

(A) ✔ The sampling distribution of the sample mean approaches the normal distribution as the sample size gets larger.

(B) ✔ A sample size of 30 or more is generally considered sufficient for CLT to hold.

(C) ✔ As the sample size becomes larger, the prediction of characteristics of the population becomes more accurate.

(D) ✔ The sampling distribution of the sample mean approaches a bell-shaped curve as the sample size gets larger.

Therefore, all statements (A), (B), (C), and (D) are correct.