The mean annual salary for physical therapists in the United States is about ($ 87,000). A random

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The mean annual salary for physical therapists in the United States is about \(\$ 87,000\). A random sample of 50 physical therapists is selected. What is the probability that the mean annual salary of the sample is

(a) less than \(\$ 84,000\) and

(b) more than \(\$ 85,000\) ? Assume \(\sigma=\$ 10,500\).

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