Question:

Match List - I with List - II.
List - IList -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:

Updated On: May 12, 2025
  • (A)-(I), (B)-(II), (C)-(III), (D)-(IV)
  • (A)-(I), (B)-(II), (C)-(IV), (D)-(III)
  • (A)-(II), (B)-(IV), (C)-(III), (D)-(1)
  • (A)-(III), (B)-(II), (C)-(IV), (D)-(I)
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The Correct Option is D

Solution and Explanation

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