Question: 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

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 984 and a standard deviation of 203. Scores on the ACT test are normally distributed with a mean of 19.1 and a standard deviation of 4.2. 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 56-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 1492, find the equivalent ACT score.

ACT score =

Round answer to 1 decimal place.

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