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When you have the sample size at n = 50, does the mean and standard deviation...

When you have the sample size at n = 50, does the mean and standard deviation follow the Central Limit Theorem? Show your calculations.

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According to the Central limit theorem, the sampling distribution of the sample means of any underlying distribution approaches to a normal distribution as we keep on increasing the sample size more and more. In general, the thumb rule for the sample size requirement is 30 for the same. Here, we are given that n = 50 is the sample size and so yes, the sample would follow the central limit theorem and the distribution of the sample mean would be given as:

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