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In short, if we take unlimited number of samples each of size \(\displaystyle n\) (where \(\displaystyle n>=30\) ) then for each sample \(\displaystyle skewness\) and \(\displaystyle kurtosis\) will vary. So these are random variables. The question is -- Is the sampling distribution of these random variables Normal?. And if it is, what is the mean \(\displaystyle \mu\) and standard deviation \(\displaystyle \sigma\) for that?