The average and standard deviation for SAT scores is 1108 and 198, respectively. The average and standard deviation for ACT scores is 22 and 6.2, respectively. Based on this information, answer the following questions: a. Assuming nothing about the distribution of SAT scores, at least what percentage of scores will be between 712 and 1504? b. Assuming that the distribution of SAT scores are normal, approximately what percentage of scores will be over 1504? c. If Jordan got 1200 on the SATs and a 30 on the ACTs, which exam did Jordan do better on? Justify your answer and show all work.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question

The average and standard deviation for SAT scores is 1108 and 198, respectively. The average and standard deviation for ACT scores is 22 and 6.2, respectively. Based on this information, answer the following questions:

a. Assuming nothing about the distribution of SAT scores, at least what percentage of scores will be between 712 and 1504?

b. Assuming that the distribution of SAT scores are normal, approximately what percentage of scores will be over 1504?

c. If Jordan got 1200 on the SATs and a 30 on the ACTs, which exam did Jordan do better on? Justify your answer and show all work. 

Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
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 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…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
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
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman