Because the owner of the Bard’s Nook, a recently opened restaurant, has had difficulty estimating the quantity of food to be prepared each evening, he decided to determine the mean number of customers served each night. He selected a sample of 30 nights, which resulted in a mean of 71. The population standard deviation has been established as 3.76.

1. Give an interval estimate that has a 68.3 percent probability of including the population mean.
2. Give an interval estimate that has a 99.7 percent chance of including the population mean.

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