a. Calculate the z-score for an SAT score of 720. Approximately how many students scored 720 or better? b. For 2012, the SAT math test had a mean of 514 and standard deviation 117. The ACT math test is an alternate to the SAT and is approximately normally distributed with mean 21 and standard deviation 5.3. If one person took the SAT math test and scored 700 and a second person took the ACT math test and scored 30, who did better with respect to the test they took?
a. Calculate the z-score for an SAT score of 720. Approximately how many students scored 720 or better? b. For 2012, the SAT math test had a mean of 514 and standard deviation 117. The ACT math test is an alternate to the SAT and is approximately normally distributed with mean 21 and standard deviation 5.3. If one person took the SAT math test and scored 700 and a second person took the ACT math test and scored 30, who did better with respect to the test they took?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:Question 3
In 2005, 1,586,623 students heading to college took the SAT. The distribution of scores in the math
section of the SAT follows a normal distribution with mean = 520 and standard deviation o = 115.
a. Calculate the z-score for an SAT score of 720. Approximately how many students scored 720 or
better?
b. For 2012, the SAT math test had a mean of 514 and standard deviation 117. The ACT math test is
an alternate to the SAT and is approximately normally distributed with mean 21 and standard
deviation 5.3. If one person took the SAT math test and scored 700 and a second person took the
ACT math test and scored 30, who did better with respect to the test they took?
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