A colleague plots a set of sample means drawn from 100 successive samples of 50 subjects. He is not sure what the distribution should look like and asks for your opinion. You tell him that the distribution should be approximately normally distributed and fairly smooth because
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the sampling distributions of all statistics eventually become perfectly normally distributed. there are never outliers that will affect the distribution when you take over 25 samples. he took a large number of large samples from the population. the population from which it was drawn was normally distributed.
