2.131 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 corre- sponding GPA 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 (approx- imately) 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?
2.131 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 corre- sponding GPA 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 (approx- imately) 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?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
![2.131 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 corre-
sponding GPA
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 (approx-
imately) 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?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F645f5f13-b198-4aa8-9dad-4f403fda1bca%2Fa92d678a-02ea-4454-9240-e87efdaa46e6%2F3fbi0ux_processed.png&w=3840&q=75)
Transcribed Image Text:2.131 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 corre-
sponding GPA
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 (approx-
imately) 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?
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