2. 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: i. z=2.0 ii. Z=-1.0 b. Students with z-scores below -1.6 are put on probation. What is the corresponding probationary GPA? c. The president of the university wished to graduate the top 2.5% with summa cum laude honors. i. Where approximately should the limits be set in terms of z-scores? In terms of GPAS? ii. What assumptions if any did you make about the distribution of the GPAs of the university?

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2. 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:
i.
z=2.0
ii.
C.
Z=-1.0
b. Students with z-scores below -1.6 are put on probation. What is the corresponding
probationary GPA?
The president of the university wished to graduate the top 2.5% with summa cum laude
honors.
i. Where approximately should the limits be set in terms of z-scores? In terms of
GPAS?
ii. What assumptions if any did you make about the distribution of the GPAs of the
university?
Transcribed Image Text:2. 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: i. z=2.0 ii. C. Z=-1.0 b. Students with z-scores below -1.6 are put on probation. What is the corresponding probationary GPA? The president of the university wished to graduate the top 2.5% with summa cum laude honors. i. Where approximately should the limits be set in terms of z-scores? In terms of GPAS? ii. What assumptions if any did you make about the distribution of the GPAs of the university?
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