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 for college admitance. Scores on the SAT test are normally distributed with a mean of 1000 and a standard deviation of 201. Scores on the ACT test are normally distributed with a mean of 20.3 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 26-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 1503, find the equivalent ACT score. ACT score = Round answer to 1 decimal place.