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

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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 (based on data from the Opinion Research Corporation). Assume that the shower times are normally distributed with a standard deviation of 2.7 minutes.

a. Find the percentage of guests who shower for 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, how likely is it that there will not be enough hot water? Does the current system appear to be effective?

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Statistical Reasoning for Everyday Life

ISBN: 978-0321817624

4th edition

Authors: Jeff Bennett, Bill Briggs, Mario F. Triola

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