Question 868724: Suppose the mathematics section of SAT scores for high school seniors for a specific year is normally distributed with a mean score of 721 with standard deviation of 105. A certain student scored 909 on the mathematics section and wishes to get into a college that uses the ACT as an entrance requirement. In that same year the mathematics section of the ACT had a mean score of 22.6 with standard deviation of 4.6 and the ACT scores are normally distributed. A cut-off score of 28 on the mathematics portion of the ACT would enable the student to place out of College Algebra. Does the student have the necessary score to place out of College Algebra? Include a written explanation of your thought process that led to the technique used to make the determination.
Answer by ewatrrr(24785)   (Show Source):
You can put this solution on YOUR website! zSAT = (909-721)/105 = 1.79, P(z < 1.79)) = 96.33 percentile
zACT = (28-22.6)/4.6 = 1.1739, P(z < 1.1739 = 87.98 percentile
Having achieved 96.33 percentile ranking on SAT, statistically,
very realistic to achieve the 87.98 percentile ranking on ACT
and to place out of College Algebra
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