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National average for math portion of college board

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Suppose that the national average for the math portion of the College Board's SAT is 535. 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.

(a) What percentage of students have an SAT math score greater than 635?

(b) What percentage of students have an SAT math score greater than 735?

(c) What percentage of students have an SAT math score between 435 and 535?

(d) What is the z-score for student with an SAT math score of 630?

(e) What is the z-score for a student with an SAT math score of 395?

Reference no: EM131360900

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