More than 1.5 million college-bound high school seniors took the Mathematics portion of the SAT exam recently. The mean was 518; the standard deviation was 115.
a. What proportion scored 600 or above?
b. An engineering school decided to restrict admissions to those who scored in the top 15 percent. What is the cut off score?
c. What proportion of the test takers scored between 400 and 500?
d. From 1000 students, how many would be expected to score 700 or more?
e. In working these problems, you began with an assumption about the distribution of SAT Mathematics test scores. What is that assumption?
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