Question: The owner of a gasoline station wants to study gasoline purchasing habits by motorists at his station. He selects a random sample of 60 motorists during a certain week, with the following results:

? The amount purchased was = 11.3 gallons, S = 3.1 gallons

? Eleven motorists purchased premium-grade gasoline.

A. At the 0.05 level of significance, is there evidence that the population mean purchase was different from 10 gallons?

B. Determine the p-value in (a).

C. At he 0.05 level significance, is there evidence that less than 20% of all the motorists at the station purchased premium-grade gasoline?

D. What is your answer to (a) if the sample mean equals 10.3 gallons?

E. What is your answer to (c) if 7 motorists purchased premium-grade gasoline?