Assignment #2 (SHOW ALL WORK)

#1. 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% 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)?

GPAs: 2.8 3.6 3.4 2.5 2.2 2.6 4.0 3.1 2.7 3.5

#2. The William G. Harding School of Public Affairs would like to evaluate its affirmative action program for students. After extended discussion, the faulty decides that all students will take the state civil service exam, and the scores o this exam will be used as the criterion of success. Create a memo discussing the results shown in the accompany table below.

Regular Students Affirmative Action Students

Mean. 86.4 84.1

Standard deviation. 17.3 28.2

Sample Size 44. 19