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summarize the implications of the central limit theorem What is the most important application of it...

summarize the implications of the central limit theorem

What is the most important application of it and why?

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Answer #1

The central limit theorem tells us exactly what the shape of the distribution of means will be when we draw repeated samples from a given population. Specifically, as the sample sizes get larger, the distribution of means calculated from repeated sampling will approach normality.

Most useful Application of CLT is

CLT is important because under certain condition , we can approximate some distribution with Normal distribution although the distribution is not Normally distributed

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