The Central Limit Theorem says that X is approximately normal if the sample size is large. More

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The Central Limit Theorem says that X is approximately normal if the sample size is large. More specifically, the theorem states that the standardized X̅ has a limiting standard normal distribution. That is, the rv (X̅ – μ) / (σ / √n) has a distribution approaching the standard normal. Can you reconcile this with the Law of Large Numbers?

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Modern Mathematical Statistics With Applications

ISBN: 9783030551551

3rd Edition

Authors: Jay L. Devore, Kenneth N. Berk, Matthew A. Carlton

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