4. Suppose that the national mean for the mathematics component of the American

Question

4. Suppose that the national mean for the mathematics component of the American College Testing (ACT) exams is 18 with a standard deviation of 6 and that the national mean for the mathematics component of the Scholastic Aptitude Test (SAT) is 500 with a standard deviation of 100. Angie earns a 28 on the math portion of the ACT while her cousin, Brent, who lives in another state where the SAT is emphasized, earns a 675 on the math portion of the SAT. Which of the two students has done better in comparison to the respective national statistics of their particular test and why?

Explanation / Answer

z-socre for Carol = (28-18)/6=10/6= 1.67

z-socre for Tim = (675-500)/100=175/100= 1.75

1.75 is more than 1.67 hence Tim has done better in the test.

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