GPAs of students. At one university, the students are given z -scores at the end of each… 1 answer below »

GPAs of students. At one university, the students are given z -scores at the end of each semester, rather than the traditional GPAs. The mean and standard deviation of all students’ cumulative GPAs, on which the z -scores are based, are 2.7 and .5, respectively.
a. Translate each of the following z -scores to corresponding GPA scores: z = 2.0, z = -1.0, z = .5, z = -2.5.
b. Students with z -scores below 1.6 are put on probation. What is the corresponding probationary GPA? c. The president of the university wishes to graduate the top 16% of the students with cum laude honors and the top 2.5% with summa cum laude honors. Where (approximately) should the limits be set in terms of z -scores? In terms of GPAs? What assumption, if any, did you make about the distribution of the GPAs at the university?