The salaries of professional baseball players are heavily skewed right with a mean of $3.2 million and a standard deviation of $2 million. A baseball analyst randomly selects 40 athletes and records the mean salary. What is the shape of the distribution of the sample mean for all possible random samples of size 40 from this population?

The population salaries are skewed right, but the Central Limit Theorem says that the distribution of sample means is approximately Normal when the sample size is sufficiently large. A sample size of 40 is generally large enough for this approximation, so the sample mean distribution is approximately Normal.

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