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# SAT and ACT Scores

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Bob compares his SAT Verbal score of 400 to Marge's ACT Verbal score of 20. "I whupped ya," he exclaims. "My score is 20 times your score!" Although Bob's multiplication is good, his logic is faulty. Exxplain why?

https://brainmass.com/math/discrete-math/sat-and-act-scores-446038

#### Solution Preview

There are a couple of flaws in the logic. First of all you can't compare the scores because the SAT and ACT are not related, they are completely ...

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## Inverse Normal Distribution SAT and ACT Scores - For a given population of high school seniors, the schoolastic aptitude test (SAT) in mathemathics has a mean score of 500 with the standard deviation of 100. Another widely used test is the American college testing (ACT)exam. The mathemathics portion of the ACT mean of 18 and a standard deviation of 6 ...

For a given population of high school seniors, the schoolastic aptitude test (SAT) in mathemathics has a mean score of 500 with the standard deviation of 100. Another widely used test is the American college testing (ACT)exam. The mathemathics portion of the ACT mean of 18 and a standard deviation of 6.

(a) Suppose that an engeneering school honors program will accept only high school seniors with a mathemathics SAT or ACT score in the top 10%. What is the minimum SAT score in mathemathics for this program? What is the minimum for ACT score for this program?

(b) Suppose that an engeneering school will accept only high school seniors with a mathemathics SAT or ACT score in the top 20%. What is the minimum SAT score in mathemathics for this program? What is the minimum ACT score in mathemathics for this program?

(c) Suppose that an engeneering school will accept only high school seniors with a mathemathics SAT or ACT score in the top 60%. What is the minimum SAT score in mathemathics for this program? What is the minimum ACT score in mathemathics for this program?

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