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Verifying the Assumption of a Normal Distribution

How do you verify that the assumption of a normal distribution is correct if you have only the mean and standard deviation? What could you do if you actually have the data? In my case, the sample size is 1000; mean 40, and SD 10.

If you then took a sample of 20 from the original sample of 1000, is the expected value 40? How do you find the standard deviation for the sample of 20?


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