q15) A study was conducted on students from a particular high school over the last 8 years. The following information was found regarding standardized tests used for college admitance. Scores on the SAT test are normally distributed with a mean of 1023 and a standard deviation of 206. Scores on the ACT test are normally distributed with a mean of 20.4 and a standard deviation of 4.6. It is assumed that the two tests measure the same aptitude, but use different scales. If a student gets an SAT score that is the 28-percentile, find the actual SAT score. SAT score =  Round answer to a whole number. What would be the equivalent ACT score for this student? ACT score =  Round answer to 1 decimal place. If a student gets an SAT score of 1229, find the equivalent ACT score. ACT score =  Round answer to 1 decimal place.

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

q15) A study was conducted on students from a particular high school over the last 8 years. The following information was found regarding standardized tests used for college admitance. Scores on the SAT test are normally distributed with a mean of 1023 and a standard deviation of 206. Scores on the ACT test are normally distributed with a mean of 20.4 and a standard deviation of 4.6. It is assumed that the two tests measure the same aptitude, but use different scales.

If a student gets an SAT score that is the 28-percentile, find the actual SAT score.
SAT score = 
Round answer to a whole number.

What would be the equivalent ACT score for this student?
ACT score = 
Round answer to 1 decimal place.

If a student gets an SAT score of 1229, find the equivalent ACT score.
ACT score = 
Round answer to 1 decimal place.

Expert Solution
steps

Step by step

Solved in 4 steps with 1 images

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