SOLUTION: 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.

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Question 1176706: 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 202. Scores on the ACT test are normally distributed with a mean of 20.9 and a standard deviation of 3.9. 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 50-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 1206, find the equivalent ACT score.
ACT score =
Round answer to 1 decimal place.
Answer by ewatrrr(24785) (Show Source):
You can put this solution on YOUR website!

Hi SAT test are normally distributed with a mean of 984 and a standard deviation of 202 ACT test are normally distributed with a mean of 20.9 and a standard deviation of 3.9 50% SAT - score 984 50% ACT - score 20.9 SAt = 1206 z = (1206-984)/202 = 1.099 ACT = 1.099*3.9 + 20.9 = 25.2 Wish You the Best in your Studies.