Question

Match the LIST-I with LIST-II.

Choose the correct answer from the options given below:

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

Hint:

The t-test is a parametric test uniquely designed to evaluate the difference between two means (III).
Since only Option (C) contains the pairing A-III, identifying this single key association immediately leads you to the correct answer.

Answer 1

The Correct Option is C

Step 1: Understanding the Question:
The question is a matching task focusing on parametric and non-parametric statistical hypothesis tests (List I) and their primary definitions, properties, or statistical features (List II).

Step 2: Key Formula or Approach:
To solve this, we must identify the core operational characteristics and assumptions of the t-test, Chi-square, Mann-Whitney U, and Kruskal-Wallis H tests.

Step 3: Detailed Explanation:

• Let us match each statistical test based on its mathematical and distribution assumptions:

• A. t-test: This is a classic parametric hypothesis test used to evaluate the significance of the difference between the means of two groups. Therefore, A matches III.

• B. Chi-Square test: This is a non-parametric, distribution-free statistical test. It is highly robust because it does not require that the samples come from an approximately normal distribution. Therefore, B matches II.

• C. Wilcoxon-Mann Whitney 'U' test: This non-parametric test is used to compare two independent groups to determine whether they have been drawn from the same population or distribution. Therefore, C matches I.

• D. Kruskal-Wallis 'H' test: This non-parametric test generalizes the Mann-Whitney U test to compare three or more independent groups, evaluating the significance of differences across these multiple groups. Therefore, D matches IV.

• Combining these statistical associations yields the matching sequence: A-III, B-II, C-I, D-IV.

Step 4: Final Answer:
This sequence corresponds directly to Option (C).