Suppose that the national average for the math portion of theCollege Board's SAT is 518. The College Board periodically rescalesthe test scores such that the standard deviation is approximately50. Answer the following questions using a bell-shaped distributionand the empirical rule for the math test scores. If required, roundyour answers to two decimal places. (a) What percentage of studentshave an SAT math score greater than 568? % (b) What percentage ofstudents have an SAT math score greater than 618? % (c) Whatpercentage of students have an SAT math score between 468 and 518?% (d) What is the z-score for student with an SAT math score of620? (e) What is the z-score for a student with an SAT math scoreof 405?
