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Homework answers / question archive / In planning for hot water requirements, the manager of the Luxurion Hotel finds that guests spend a mean of 11

In planning for hot water requirements, the manager of the Luxurion Hotel finds that guests spend a mean of 11

Statistics

In planning for hot water requirements, the manager of the Luxurion Hotel finds that guests spend a mean of 11.4 minutes each day in the shower. Assume that the shower times are normally distributed with a standard deviation of 2.6 min.

a. Find the percentage of guests who shower more than 12 minutes
b. The hotel has installed a system that can provide enough hot water provided that the mean shower time for 84 guests is less than 12 minutes. If the hotel currently has 84 guests, fin d the probability that there will not be enough hot water. Does the current system appear to be effective?

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