Dior has been conducting business on the Internet for the past two years. He sells products that include beauty products, supplements, and household essentials. Managing the online business has proved to be extremely stressful for Dior, so he decided to hire people to help in managing the online business. Dior is primarily concerned about the amount of time the employees will need to spend in managing it. During the interviews, he recorded the available time (in hours) per day that the sample candidates needed to manage the online business:

5 4 6 5 3 7 8 6 6 8 6 8 7 5 2 4 10 7 5 9

a. Calculate the average and standard deviation of time

(in hours) provided by Dior’s candidates.

b. Determine a 95% confidence interval for the average time (in hours) Dior’s candidates may spend in managing his online business.

c. Based on the result in part

b, can Dior trust that his employees will spend an average of seven hours per day to manage the online business?