(Steps Shown) The distribution of salaries of elementary school teachers is approximately normal with mean m = $32000 and a standard deviation s = $5000.


Question: The distribution of salaries of elementary school teachers is approximately normal with mean m = $32000 and a standard deviation s = $5000.

If 35 teachers are randomly selected, what is the probability that their mean salary is between $31500 and $36000? Use the Central Limit Theorem.

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