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

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23. The Central Limit Theorem says that is approximately normal if the sample size is large. More speci cally, the theorem states that the standardized has a limiting standard normal distribution. That is, has a distribution approaching the standard normal. Can you reconcile this with the Law of Large Numbers? If the standardized is approximately standard normal, then what about itself?

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