SAT scores are normed so that, in any year, the mean of the verbal or math test should be 500 and the standard deviation 100. Assuming this is true (it is only approximately true, both because of variation from year to year and because scores have decreased since the SAT tests were first developed), answer the following questions.
a. What percentage of students score above 625 on the math SAT in any given year?
b. What percentage of students score between 400 and 600 on the verbal SAT?
c. A college decides to liberalize its admission policy. As a first step, the admissions committee decides to exclude only those applicants scoring below the 20th percentile on the verbal SAT. Translate this percentile into a Z score. Then, calculate the equivalent SAT verbal test score.