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...

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 1022 and a standard deviation of 197. Scores on the ACT test are normally distributed with a mean of 21.9 and a standard deviation of 3.8. 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 25-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 1455, find the equivalent ACT score.
ACT score =
Round answer to 1 decimal place.