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Sampling Distribution of the Sample Mean

1.What is sampling error? In what ways (if any) does changing sample size influence sampling error?

  1. The focus of this week is on discussing the sampling distribution of the sample mean. Suppose that you have a distribution involving a continuous random variable x.

Discuss how one would obtain a distribution of sample means for this continuous random variable x. Cast this discussion within the context of an original real-world example (e.g., IQ scores).
As sample size increases, discuss how the shape of the distribution of sample means changes as well as the influence over the mean and standard deviation of this distribution.

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