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 approximately100. Answer the following questions using a bell-shapeddistribution 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 than618? |
| % |
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| (b) | What percentage of students have an SAT math score greater than718? |
| % |
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| (c) | What percentage of students have an SAT math score between 418and 518? |
| % |
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| (d) | What is the z-score for student with an SAT math score of625? |
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| (e) | What is the z-score for a student with an SAT math score of415? |
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