# Test Statistic - Sample Size for a Restaurant

A census is a ________________ of an entire population

A restaurant claims that its speed of service time is less than 18 minutes. A random selection of 36 service times was collected, and their mean was calculated to be 17.7 minutes. Their standard deviation is 3.1 minutes. Is there enough evidence to support the claim at alpha = .08. Use the p-value. (Hint: first show Ho and Ha. Then calculate the proper test statistic, use the table or Excel to get the P-value)

Determine the minimum required sample size if you want to be 99% confident that the sample mean is within 2 units of the population mean given sigma = 7.8. Assume the population is normally distributed.

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#### Solution Summary

The solution performs a hypothesis test for the speed of service at a restaurant.