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 2.6 and 0.4, respectively. Complete parts a through c. a. Translate each of the following z-scores to corresponding GPA scores: z= 2.0, z= - 1.0, z= 0.5, z= - 2.5. Translate z = 2.0 to the corresponding GPA score. GPA = (Type an integer or a decimal.) Translate z = - 1.0 to the corresponding GPA score. GPA = (Type an integer or a decimal.) %3D Translate z = 0.5 to the corresponding GPA score. GPA = (Type an integer or a decimal.) Translate z= - 2.5 to the corresponding GPA score. GPA = (Type an integer or a decimal.) b. Students with z-scores below - 1.6 are put on probation. What is the corresponding probationary GPA? GPA = (Round to the nearest tenth as needed.) 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? O A. z> - 1.0 and - 2.0; GPA > 2.2 and 1.8; mound-shaped, symmetric B. z> 1.0 and 2.0; GPA > 3.0 and 1.8; mound-shaped, asymmetric C. z>1.0 and 2.0; GPA> 3.0 and 3.4; mound-shaped, symmetric D. z= 1.0 and 2.0; GPA > 3.4 and 3.0; the shape of distribution not important
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 2.6 and 0.4, respectively. Complete parts a through c. a. Translate each of the following z-scores to corresponding GPA scores: z= 2.0, z= - 1.0, z= 0.5, z= - 2.5. Translate z = 2.0 to the corresponding GPA score. GPA = (Type an integer or a decimal.) Translate z = - 1.0 to the corresponding GPA score. GPA = (Type an integer or a decimal.) %3D Translate z = 0.5 to the corresponding GPA score. GPA = (Type an integer or a decimal.) Translate z= - 2.5 to the corresponding GPA score. GPA = (Type an integer or a decimal.) b. Students with z-scores below - 1.6 are put on probation. What is the corresponding probationary GPA? GPA = (Round to the nearest tenth as needed.) 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? O A. z> - 1.0 and - 2.0; GPA > 2.2 and 1.8; mound-shaped, symmetric B. z> 1.0 and 2.0; GPA > 3.0 and 1.8; mound-shaped, asymmetric C. z>1.0 and 2.0; GPA> 3.0 and 3.4; mound-shaped, symmetric D. z= 1.0 and 2.0; GPA > 3.4 and 3.0; the shape of distribution not important
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
Transcribed Image Text: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 2.6 and 0.4, respectively.
Complete parts a through c.
a. Translate each of the following z-scores to corresponding GPA scores: z= 2.0, z= - 1.0, z= 0.5, z= - 2.5.
Translate z = 2.0 to the corresponding GPA score.
GPA =
(Type an integer or a decimal.)
Translate z = - 1.0 to the corresponding GPA score.
GPA = (Type an integer or a decimal.)
%3D
Translate z = 0.5 to the corresponding GPA score.
GPA =
(Type an integer or a decimal.)
Translate z= - 2.5 to the corresponding GPA score.
GPA =
(Type an integer or a decimal.)
b. Students with z-scores below - 1.6 are put on probation. What is the corresponding probationary GPA?
GPA = (Round to the nearest tenth as needed.)
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?
O A. z> - 1.0 and - 2.0; GPA > 2.2 and 1.8; mound-shaped, symmetric
B. z> 1.0 and 2.0; GPA > 3.0 and 1.8; mound-shaped, asymmetric
C. z>1.0 and 2.0; GPA> 3.0 and 3.4; mound-shaped, symmetric
D. z= 1.0 and 2.0; GPA > 3.4 and 3.0; the shape of distribution not important
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 6 images
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.Recommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman