Last month the waiting time at the drive through window of a fast-food restaurant was 3.7 minutes. The franchise has installed

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Question : Last month the waiting time at the drive through window of a fast-food restaurant was 3.7 minutes. The franchise has installed a new process intended to reduce waiting time. After the installation, a random sample of 64 orders is selected. The sample mean waiting time is 3.57 minutes with a sample standard deviation of 0.8 minutes. At a 5% level of significance, is there sufficient evidence that the population mean waiting time is now less than 3.7 minutes? What is your conclusion?

The franchise has installed a new process intended to reduce waiting time. we want to test , After the installation of new process, is there sufficient evidence that the population mean waiting time is now less than 3.7 minutes?

Step 1) State H0 and Ha

H_{0}:\mu = 3.7    Vs   H_{a}: \mu < 3.7

Step 2) Find test statistic value.