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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 1107 and a standard deviation of 206. Scores on the ACT test are normally distributed with a mean of 22 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 79-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 1416, find the equivalent ACT score.
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