Question

Match List - I with List - II.

List - I	List -II
(A) t-distribution	(I)sample size\(\geq30\)
(B) Sample mean	(II)\(X\)
(C) Population mean	(III)degree of freedom
(D)Z-distribution	(IV)\(\mu\)

Choose the correct answer from the options given below:

• A. (A)-(I), (B)-(II), (C)-(III), (D)-(IV)
• B. (A)-(I), (B)-(II), (C)-(IV), (D)-(III)
• C. (A)-(II), (B)-(IV), (C)-(III), (D)-(1)
• D. (A)-(III), (B)-(II), (C)-(IV), (D)-(I)

Answer 1

The Correct Option is D

To solve the problem, we need to match terms in List-I with their corresponding definitions in List-II:

List - I	List - II
(A) t-distribution	(I) sample size \(\geq30\)
(B) Sample mean	(II) \(X\)
(C) Population mean	(III) degree of freedom
(D) Z-distribution	(IV) \(\mu\)

Explanation:

• (A) t-distribution: The t-distribution is commonly associated with the concept of "degree of freedom," especially in hypothesis testing for small sample sizes. Therefore, it matches with (III).
• (B) Sample mean: In statistics, the sample mean is often denoted by \(\overline{X}\), typically referred to simply as \(X\). It matches with (II).
• (C) Population mean: The population mean is denoted by \(\mu\), widely used in statistical analysis. It matches with (IV).
• (D) Z-distribution: The Z-distribution is applicable for large sample sizes (sample size \(\geq30\)). It matches with (I).

Correct Matching: (A)-(III), (B)-(II), (C)-(IV), (D)-(I)