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 1106 and a standard deviation of 194. Scores on the ACT test are normally distributed with a mean of 21.2 and a standard deviation of 4.5. It is assumed that the two tests measure the same aptitude, but use different scales. a. If a student gets an SAT score that is the 28-percentile, find the actual SAT score. Round your answer to the nearest whole number. b. What would be the equivalent ACT score for this student? c. If a student gets an SAT score of 1552, find the equivalent ACT score. Round your answer to one decimal place.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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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 1106 and a standard deviation of 194. Scores on the ACT
test are normally distributed with a mean of 21.2 and a standard deviation of 4.5. It is assumed that
the two tests measure the same aptitude, but use different scales.
a. If a student gets an SAT score that is the 28-percentile, find the actual SAT score. Round your
answer to the nearest whole number.
b. What would be the equivalent ACT score for this student?
c. If a student gets an SAT score of 1552, find the equivalent ACT score. Round your answer to one
decimal place.
Transcribed Image Text: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 1106 and a standard deviation of 194. Scores on the ACT test are normally distributed with a mean of 21.2 and a standard deviation of 4.5. It is assumed that the two tests measure the same aptitude, but use different scales. a. If a student gets an SAT score that is the 28-percentile, find the actual SAT score. Round your answer to the nearest whole number. b. What would be the equivalent ACT score for this student? c. If a student gets an SAT score of 1552, find the equivalent ACT score. Round your answer to one decimal place.
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