Waiting in Line One aspect of queuing theory is to consider waiting time in lines. A

Chapter 10, Problem 16

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Waiting in Line One aspect of queuing theory is to consider waiting time in lines. A fast-food chain is trying to determine whether it should switch from having four cash registers with four separate lines to four cash registers with a single line. It has been determined that the mean wait time in both lines is equal. However, the chain is uncertain about which line has less variability in wait time. From experience, the chain knows that the wait times in the four separate lines are normally distributed with s = 1.2 minutes. In a study, the chain reconfigured five restaurants to have a single line and measured the wait times for 50 randomly selected customers. The sample standard deviation was determined to be s = 0.84 minute. Is the variability in waittime less for a single line than for multiple lines at the a = 0.05level of significance?

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