The owner of a specialty coffee shop wants to study coffeepurchasing habits of customers at her shop. She selects a randomsample of 60 customers during a certain week, with the followingresults:
• The amount spent was X = +7.25, S = +1.75.
• Thirty-one customers say they “definitely will†recommendthe specialty coffee shop to family and friends.
a. At the 0.05 level of significance, is there evidence thatthe 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 thatmore than 50% of all the customers say they “definitely willâ€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 andfriends?
