Question: A resort area has three seafood restaurants, which employ students during the summer season. The local chamber of commerce took a random sample of five servers from each restaurant and recorded the tips they received on a recent Friday night. The results (in dollars) of the survey are shown in the table below. Assume that the Friday night for which the data were collected is typical of all Friday nights of the summer season.
a. Would a student seeking a server's job at one of these three restaurants conclude that the mean tips on a Friday night are the same for all three restaurants? Use the 5% level of significance.
b. What will your decision be in part a if the probability of making a Type I error is zero? Explain.