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Statistical Inference & Data Analysis Sec: ALL

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Suppose that 20% of all invoices are for amounts greater than $800. A random sample of 50 invoices is taken. What is the probability that more than 22.7% of these 50 invoices are for more than $800?
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The amount of time that you have to wait before seeing the doctor in the doctor’s office is normally distributed with a mean of 15.2 minutes and a standard deviation of 15.2 minutes. If you take a random sample of 35 patients, what is the probability that the average wait time is greater than 20 minutes? (Hint: Round the probability value to 2 decimal places.)

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A basketball player shoots 60 free throws a day and historically makes 75 percent of them. What is the probability that he will make at most 80 percent tomorrow?
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The sampling distribution of the mean is a distribution of ___
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