Question

The mean score on ACT test was 21.0 and the standard deviation was 5.2. The distributions of scores was approximately bell-shaped. Compute the z-score for an ACT test score of 13.

Answer 1

The z-score for an ACT test score of 13 is approximately -1.538.

Step-by-step explanation:

To calculate the z-score for an ACT test score of 13, we need to use the formula:

z = (x - mean) / standard deviation

Substituting the given values, we have:

z = (13 - 21.0) / 5.2

Simplifying, we get:

z = -1.538

Therefore, the z-score for an ACT test score of 13 is approximately -1.538.