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The wait times to see a doctor at a large clinic are normally distributed with a...

The wait times to see a doctor at a large clinic are normally distributed with a mean of 68.2 minutes and a standard deviation of 14.8 minutes. If a simple random sample of 25 patients is selected, find the probability that the sample mean wait time is more than 75 minutes. Round to four decimal places.

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Ans:

Mean=68.2

standard deviation=14.8

n=25

z=(75-68.2)/(14.8/sqrt(25))

z=2.297

P(z>2.297)=0.0108

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