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What effect does varying the sample size and the size of the sample SD have on...

What effect does varying the sample size and the size of the sample SD have on the shape of a sampling distribution?

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Answer #1

It seems that the sampling distribution has an almost perfect normal shape, even though the original data is skewed or slight skewed. The standard deviation of sampling distribution of mean = Population SD/Sqrt(n)

As sample sample size increases the standard deviation of sampling distribution of mean decreases while if increase the population SD, then standard deviation of sampling distribution of mean is also increased

As per central limit theorem, if the sample size increases, the sampling distribution of sample mean tends toward a normal distribution with mean is population mean and SD is Population SD/Sqrt(n)

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