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 1019 and a standard deviation of 205. Scores on the ACT test are normally distributed with a mean of 19.9 and a standard deviation of 4.3. 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 40-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 1388, find the equivalent ACT score. ACT score =  Round answer to 1 decimal place.

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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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 1019 and a standard deviation of 205. Scores on the ACT test are normally distributed with a mean of 19.9 and a standard deviation of 4.3. 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 40-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 1388, find the equivalent ACT score.
ACT score = 
Round answer to 1 decimal place.

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