The owner of a specialty coffee shop wants to study coffee purchasing habits of customers at her shop. She selects a random sample of 60 customers during a certain week, with the following results:

• The amount spent was X-bar = + 7.25, S = + 1.75.
• Thirty- one customers say they “definitely will” recommend the specialty coffee shop to family and friends.

a. At the 0.05 level of significance, is there evidence that the population mean amount spent was different from $ 6.50?

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

c. At the 0.05 level of significance, is there evidence that more than 50% of all the customers say they “ definitely will” recommend the specialty coffee shop to family and friends?

d. What is your answer to (a) if the sample mean equals $ 6.25?

e. What is your answer to (c) if 39 customers say they “definitely will” recommend the specialty coffee shop to family and friends?