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 1089 and a standard deviation of 205. Scores on the ACT test are normally distributed with a mean of 21.3 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 44-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 1458, find the equivalent ACT score. ACT score = Round answer to 1 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 1089 and a standard deviation of 205. Scores on the
ACT test are normally distributed with a mean of 21.3 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 44-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 1458, find the equivalent ACT score.
ACT score =
Round answer to 1 decimal place.
Submit Question
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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 1089 and a standard deviation of 205. Scores on the ACT test are normally distributed with a mean of 21.3 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 44-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 1458, find the equivalent ACT score. ACT score = Round answer to 1 decimal place. Submit Question Jump to Answer
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