Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Inferential Statistics

Question:

Which of the following are correct about t-test statistics?

(A) The mean of t-test distribution is 0.
(B) It depends on the degrees of freedom.
(C) It depends on population standard deviation.
(D) With more degrees of freedom, it closely resembles standard normal distribution.

Choose the correct answer from the options given below:

Options:

(A) and (B) only

(B), (C) and (D) only

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

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

Correct Answer:

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

Explanation:

The correct answer is Option (4) → (A), (B) and (D) only

Correct statements about t-test statistics:

(A) The mean of the t-distribution is 0 → ✔ Correct

(B) It depends on the degrees of freedom → ✔ Correct

(C) It depends on population standard deviation → ✘ Incorrect The t-test is used when population standard deviation is unknown.

(D) With more degrees of freedom, it approaches the standard normal distribution → ✔ Correct

Correct statements: A, B, D.