3 The owner of a gasoline station wants to study gasoline purchasing habits by motorists at his station. He selects a random sample of 45 motorists during a certain week, with the following results:

The amount purchased was XBar = 10.3 gallons, S = 3.3 gallons.

12 motorists purchased premium-grade gasoline.

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

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