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Suppose that the national average for the math portion of the College Board's SAT is 538. The College Board periodically rescales the test scores such

Suppose that the national average for the math portion of the College Board's SAT is 538. The College Board periodically rescales the test scores such that the standard deviation is approximately 75. Answer the following questions using a bell-shaped distribution and the empirical rule for the math test scores.

  1. What percentage of students have an SAT math score greater than 613?
  2. What percentage of students have an SAT math score between 463 and 538?
  3. What is the z-score for student with an SAT math score of 625?

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