The mean annual salary for parole officers is about $50,830. A random sample of 50 parole officers

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The mean annual salary for parole officers is about $50,830. A random sample of 50 parole officers is selected. What is the probability that the mean annual salary of the sample is

(a) Less than $50,000 and

(b) More than $53,500?

Assume σ = $8520.

Find the indicated probabilities and interpret the results. If convenient, use technology to find the probabilities.

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