Last month the mean waiting time at the drive through windowof a fast-food restu

Question

Last month the mean waiting time at the drive through windowof a fast-food resturant was 3.7 minutes. The franchise hasinstalled a new process intended to reduce waiting time. After the installation, a random sample of 64 orders isselected. The sample mean waiting time is 3.57 minutes with asample standard deviation of 0.8 minutes. At a 5% levelsignificance, is there sufficient evidence that the proportion menawaiting time is now less thean 3.7 minutes? I don't even know where to begin with this problem i am soconfused. Can anyone help? Last month the mean waiting time at the drive through windowof a fast-food resturant was 3.7 minutes. The franchise hasinstalled a new process intended to reduce waiting time. After the installation, a random sample of 64 orders isselected. The sample mean waiting time is 3.57 minutes with asample standard deviation of 0.8 minutes. At a 5% levelsignificance, is there sufficient evidence that the proportion menawaiting time is now less thean 3.7 minutes? I don't even know where to begin with this problem i am soconfused. Can anyone help?

Explanation / Answer

Given n=64, xbar=3.57, s=0.8 =0.05, |Z(0.05)|=1.645 (check normal table) The test hypothesis is Ho:>=3.7 Ha:-1.645, we do not reject Ho. So we can not concludethat there is sufficient evidence that the proportion mena waitingtime is now less thean 3.7 minutes

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