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 1115 and a standard deviation of 206. Scores on the ACT test are normally distributed with a mean of 21.1 and a standard deviation of 4.2. It is assumed that the two tests measure the same aptitude, but use different scales.

1. If a student gets an SAT score that is the 68-percentile, find the actual SAT score.


2. What would be the equivalent ACT score for this student?


3. If a student gets an SAT score of 1321, find the equivalent ACT score.