Mathematics · Central Limit Theorem
Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A): The Central Limit Theorem (CLT) states that the sampling distribution of the sample mean approaches a normal distribution as the sample size increases, regardless of the population's distribution. Reason (R): The CLT holds only when the parent population is itself normally distributed. In light of the above statements, choose the correct answer:
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1(A) is false, but (R) is true
- 2(A) is true, but (R) is false✓
- 3Both (A) and (R) are true, but (R) is NOT the correct explanation of (A)
- 4Both (A) and (R) are true, and (R) is the correct explanation of (A)
Correct answer
(A) is true, but (R) is false
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