Mathematics · Central Limit Theorem
Given below are two statements: one is labeled as Assertion (A) and the other is labeled as Reason (R). Assertion (A): The Central Limit Theorem (CLT) states that the sampling distribution of the sample mean approaches a normal distribution as sample size increases, regardless of the population distribution. Reason (R): This is why the normal distribution is so important in statistical inference — it applies to sample means from any distribution with finite mean and variance. In light of the above statements, choose the correct answer:
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1Both (A) and (R) are true, and (R) is the correct explanation of (A)✓
- 2Both (A) and (R) are true, but (R) is not the correct explanation of (A)
- 3(A) is true, but (R) is false
- 4(A) is false, but (R) is true
Correct answer
Both (A) and (R) are true, and (R) is the correct explanation of (A)
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