and the second scoring 23 on the ACT. Which of these students scored higher among the population of students taking the relevant test and why? Choose the best answer.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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Suppose that the verbal portion of the Scholastic Aptitude Test (SAT) had a mean score of u = 400 and a standard
deviation of o = 30, while in the same year, the verbal exam from the American College Testing Program (ACT) had a
mean of u = 17 and a standard deviation of o = 2. Assume that the scores from both exams are approximately normally
distributed in any given year. Two friends applying for college took the tests, the first of the two scoring 460 on the SAT
and the second scoring 23 on the ACT. Which of these students scored higher among the population of students taking
the relevant test and why? Choose the best answer.
O a. The student with a score of 460 did better because 460 is higher than 23.
O b. The student with a score of 23 did better because 23 is considered a high ACT score.
O c. The student with a score of 46o did better because it is 2 standard deviations above the mean.
O d. The student with a 460 did better because it is 6o points above the mean.
O e. The student with a score of 23 did better because it is 3 standard deviations above the mean.
Transcribed Image Text:Suppose that the verbal portion of the Scholastic Aptitude Test (SAT) had a mean score of u = 400 and a standard deviation of o = 30, while in the same year, the verbal exam from the American College Testing Program (ACT) had a mean of u = 17 and a standard deviation of o = 2. Assume that the scores from both exams are approximately normally distributed in any given year. Two friends applying for college took the tests, the first of the two scoring 460 on the SAT and the second scoring 23 on the ACT. Which of these students scored higher among the population of students taking the relevant test and why? Choose the best answer. O a. The student with a score of 460 did better because 460 is higher than 23. O b. The student with a score of 23 did better because 23 is considered a high ACT score. O c. The student with a score of 46o did better because it is 2 standard deviations above the mean. O d. The student with a 460 did better because it is 6o points above the mean. O e. The student with a score of 23 did better because it is 3 standard deviations above the mean.
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