2.104
At one university, the students are given z-scores at the end of
each semester rather than the traditional GPSs. The means and
standard deviation of all students’ cumulative GPAs, on which the
z-scores are based, are 2.7 and .5, respectively.
- Translate each of the following z-scores to the corresponding
GPA: z = 2.0, z = -1.0, z = .5, z = - 2.5.
- Students with z-scores below -1.6 are put on probation. What is
the corresponding probationary GPA?
- The president of the university wishes to graduate the top 16%
of the students with some honors and the top 2.5% with all 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?