Question
The national average for the math portion of the College Board's SAT test is 521. The College Board periodically rescales the test scores such that
The national average for the math portion of the College Board's SAT test is 521. 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.
If required, round your answers to two decimal places.
| (a) | What percentage of students have an SAT math score greater than 596? |
| % | |
| (b) | What percentage of students have an SAT math score greater than 671? |
| % | |
| (c) | What percentage of students have an SAT math score between 446 and 521? |
| % | |
| (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? |
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Introduction to Probability
Authors: Mark Daniel Ward, Ellen Gundlach
1st edition
716771098, 978-1319060893, 1319060897, 978-0716771098
