PE1-SS21: Using Z-scores For Grades 3: At one university, the students are given z-scores at the end of each semester rather than the traditional Great Point Average, (GPAS). The mean and standard...

Extracted text: PE1-SS21: Using Z-scores For Grades 3: At one university, the students are given z-scores at the end of each semester rather than the traditional Great Point Average, (GPAS). The mean and standard deviation of all students' cumulative GPAS, on which the z-scores are based, are 2.7 and 0.5, respectively. 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 lower limits be set in terms of z-scores for each of the honors? HINT: Assume empirical rule applies. Oz- 3.2 for cum laude and z- 3.7 for summa cum laude Oz= 1.0 for cum laude and z= 2.0 for summa cum laude Oz- 2.5 for cum laude and z - 2.95 for summa cum laude Oz- 2.0 for cum laude and z- 3.0 for summa cum laude Oz- 2.2 for cum laude and z - 2.95 for summa cum laude