The national average for the math portion of the College Board’s Scholastic Aptitude Test

(SAT) is 515 (The World Almanac, 2009). The College Board periodically rescales the test scores such that the standard deviation is approximately 100.

Answer the following questions using a bell-shaped distribution and the empirical rule for the verbal test scores.

a. What percentage of students have an SAT verbal score greater than 615?

b. What percentage of students have an SAT verbal score greater than 715?

c. What percentage of students have an SAT verbal score between 415 and 515?

d. What percentage of students have an SAT verbal score between 315 and 615?