High school students are faced with taking the ACT or the SAT tests to measure their readiness to start college. Quantitative SAT scores have a mean of 1525 and a standard deviation of 305 while quantitative ACT scores have a mean of 25.1 and a standard deviation of 6.
a. A student takes the ACT and receives a score of 35 while another takes the SAT and receives a score of 2202. Which student has scored higher relatively speaking?
b. In order to get into MIT, you need to be in the top 15% of all students who take the ACT. What is the ACT score that a student must obtain to qualify for MIT?
c. A student receives an SAT score of 1990. What percentile is the student in?
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