UGC-NET 2023 Question 89: Sampling distributions and limit theorems
Given below are two statements, one labelled Assertion (A) and the other Reason (R). Assertion (A): Given a random sample, the distribution of the sample mean tends to a normal distribution as the sample size becomes very large. Reason (R): Central limit theorem. In the light of the above statements, choose the most appropriate answer:
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Sampling distributions and limit theorems has come up 25 times in 7 exams since 2007.
What this question tests
This question is on The central limit theorem and probability inequalities, part of Sampling distributions and limit theorems in Statistics.
Why sample means are approximately normal, and bounds that hold for any distribution.
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