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 an SAT score of 1490 is calculated as $ \frac{1490 - 1518}{325} = -0.09 $, indicating it is below average. For an ACT score of 17.0, the z-score is $ \frac{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 as it incorrectly asserts the opposite.

Scores on the SAT Test Have a Mean of 1518