The director of a Masters of Public Administration Program is preparing a brochure to promote the program. She would like to include in the brochure the average grade point average (GPA) of first-year students in the program, but since time is pressing she decides to estimate this figure with a sample of ten students (GPAs are normally distributed). The GPAs are listed below. What is the best estimate of the average GPA for all first-year students? With 95 percent confidence, can the director conclude that the average GPAs for first-year students is a B or better (3.0 on a 4.0 scale)?
2.8 3.6 3.4 2.5 2.2 2.6 4.0 3.1 2.7 3.5