Scores on the SAT test have a mean of 1518 and a standard deviation of 325. Scores on the ACT test have a mean of 21.1 and a standard deviation of 4.8. Which of the following choices is not true?
A) An SAT score of 1490 has a z score of -0.09.
B) An ACT score of 17.0 has a z score of -0.85.
C) The SAT score of 1490 is relatively better than the ACT score of 17.0.
D) The ACT score of 17.0 is relatively better than the SAT score of 1490.

Question

Quizplus · Accepted Answer

The z-score for the SAT score of 1490 is calculated as (1490 - 1518) / 325 = -0.09, indicating it is below average. For the ACT score of 17.0, the z-score is (17.0 - 21.1) / 4.8 = -0.85, also below average. Comparing the z-scores, -0.09 is closer to the mean than -0.85, making the SAT score of 1490 relatively better than the ACT score of 17.0. Therefore, statement D is not true.

Scores on the SAT Test Have a Mean of 1518