Question

Match List I with List II

Choose the correct answer from the options below:

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

Hint:

Remember the unique historical facts:
Gosset was a chemist working for Guinness Brewery, hence the pen name "Student" for the t-test.
Connecting Gosset directly to the t-test helps secure the answer.

Answer 1

The Correct Option is D

Step 1: Understanding the Concept:
This requires matching fundamental statistical tests and probability distributions with their respective discoverers or primary developers.

Step 2: Detailed Explanation:
Let us trace the history of these statistical concepts:
The t-test (Student's t-test) was developed by William Sealy Gosset in 1908, who published under the pseudonym "Student".
Thus, (B) matches with (I).
The $\chi^2$-test (Chi-square test) for goodness of fit was introduced by Karl Pearson in 1900.
Thus, (C) matches with (IV).
The Normal Distribution was first discovered by Abraham de Moivre in 1733 as a limiting case of the binomial distribution.
Thus, (D) matches with (III).
The Z-test and general principles of hypothesis testing are highly associated with the work of Sir Ronald Aylmer Fisher (R.A. Fisher).
Thus, (A) matches with (II).
This gives the combination: A-II, B-I, C-IV, D-III.

Step 3: Final Answer:
The correct match is A-II, B-I, C-IV, D-III.