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High school students are faced with taking the ACT or the SAT tests to measure their...

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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