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 1087 and a standard deviation of 199. Scores on the ACT test are normally distributed with a mean of 19 and a standard deviation of 5.1. 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 44 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 1465, find the equivalent ACT score. ACT score = Round answer to 1 decimal place. Add Work Submit Question

Answer 1

solution : SAT (x) ACT (Y) El di = 1087 li=19 r=sol = 199 a) Z-Score foo 44th percenbile = - 0.15 Z = x - 4 - -0.15 = X-1087 199 =) x = 1057 b) 7 = you you -0.15 = Y-19 sol y = 18.2 z 7 (SAT) - 1.90 1465 - 1087 199 Score ACT Now, Equivalent 1.90 = y-19 S.) 28.7 Y=