The salaries of professional baseball players are heavily skewed right with a mean of 3 point 2 dollars million and a standard deviation of 2 dollars million. A baseball analyst randomly selects 40 athletes and records the mean salary. Which of the following best describes the sampling distribution of all possible samples of size 40 ?

For sample means, the sampling distribution has mean equal to the population mean: 3.2 million. Its standard deviation is the standard error, 2 ÷ √40 ≈ 0.32 million. Although individual salaries are heavily skewed right, a sample size of 40 is large enough for the Central Limit Theorem to make the sampling distribution of the mean approximately Normal. So choice C is correct.

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