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Mathematics, 03.04.2020 00:29 danielahumajova6

Imagine that we have a population that is negatively (left)skewed. This population has a mean of 112 and a standard deviation of 16. Using a simulation program, Jake simulated drawing 1000 samples of size 2 from the population. He then plotted the means for each of the samples that he drew. Alex simulated drawing 1000 samples of size 30, and he also plotted the means for each of the samples that he drew. Since neither Jake nor Alex took all possible samples of a given size from the skewed population, the distributions they created are not true sampling distributions, though they are big enough that you can assume that are rules for sampling distributions of the mean apply. Would you expect the shape of Jake's sampling distribution of the mean to differ from the shape of Alex's sampling distribution of the means?

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