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A study was conducted on students from a particular high school over the last 8 years....

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 1094 and a standard deviation of 204. Scores on the ACT test are normally distributed with a mean of 22.6 and a standard deviation of 3.9. 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 58-percentile, find the actual SAT score.
SAT score =  

b) What would be the equivalent ACT score for this student?
ACT score =  

c) If a student gets an SAT score of 1400, find the equivalent ACT score.
ACT score =

Math   Statistics-And-Probability   
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