Question

Suppose that the national average for the math portion of the College Board's SAT is 512....

Suppose that the national average for the math portion of the College Board's SAT is 512. 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 math test scores.

If required, round your answers to two decimal places. If your answer is negative use “minus sign”.

(a) What percentage of students have an SAT math score greater than 612?
%
(b) What percentage of students have an SAT math score greater than 712?
%
(c) What percentage of students have an SAT math score between 412 and 512?
%
(d) What is the z-score for student with an SAT math score of 620?
(e) What is the z-score for a student with an SAT math score of 405?

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