The mean annual salary for chauffeurs is about $30,800. A random sample of 45 chauffeurs is selected.

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The mean annual salary for chauffeurs is about $30,800. A random sample of 45 chauffeurs is selected. What is the probability that the mean annual salary of the sample is

(a) Less than $30,000 and

(b) More than $34,000?

Assume σ = $5600.

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

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