Question

Match List-I with List-II:

List-I	List-II
(A) Distribution of a sample leads to becoming a normal distribution	(I) Central Limit Theorem
(B) Some subset of the entire population	(II) Hypothesis
(C) Population mean	(III) Sample
(D) Some assumptions about the population	(IV) Parameter

Choose the correct answer from the options given below.

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

Hint:

In statistical analysis, understanding the key terms and their definitions is crucial for accurate interpretation. The Central Limit Theorem is a fundamental concept that explains how the distribution of the sample mean approximates normality as the sample size grows. Additionally, remember that a hypothesis is tested to make inferences about a population, and parameters like the population mean are characteristics of the entire population. Matching concepts to definitions will help clarify their application in statistics.

Answer 1

The Correct Option is B

To match List-I with List-II, definitions of the terms are provided:

1. Central Limit Theorem: As sample size increases, the distribution of a sample drawn from a population approaches a normal distribution. Thus, "Distribution of a sample leads to becoming a normal distribution" corresponds to Central Limit Theorem (I).
2. Sample: A sample is a portion of the total population used in an analysis. Therefore, "Some subset of the entire population" matches Sample (III).
3. Parameter: A parameter quantifies a characteristic of a population, such as its mean or variance. Consequently, "Population mean" is a Parameter (IV).
4. Hypothesis: This involves proposing testable assumptions about a population, aligning with "Some assumptions about the population" and Hypothesis (II).

The correct pairings are:

List-I	List-II
(A) Distribution of a sample leads to becoming a normal distribution	(I) Central Limit Theorem
(B) Some subset of the entire population	(III) Sample
(C) Population mean	(IV) Parameter
(D) Some assumptions about the population	(II) Hypothesis

The correct option is: (A) - (I), (B) - (III), (C) - (IV), (D) - (II).