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. Choose the correct answer from the options given below: |
(A), (B) and (D) only (A), (B) and (C) only (A), (B), (C) and (D) (C) and (D) only |
(A), (B), (C) and (D) |
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. |