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 1085 and a standard deviation of 200. Scores on the ACT test are normally distributed with a mean of 21.4 and a standard deviation of 4.7. 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 22-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 1505, find the equivalent ACT score.ACT score =

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 1085 and a standard deviation of 200. Scores on the ACT test are normally distributed with a mean of 21.4 and a standard deviation of 4.7. 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 22-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 1505, find the equivalent ACT score.
ACT score = 

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