Using the central limit theorem concerning the distribution of means allows one to justify the assumption of the normal distribution. Analytical people tend not to worry too much about the nature of ...

The central limit theorem (CLT) establishes that (under certain conditions) the properly normalized sum of independent random variables tends toward a normal distribution even if the original ...

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This video describes the central limit theorem and some properties of the normal distribution. Understanding this will help you tie together many of the different types of hypothesis tests and ...