Question

three potential employees took an aptitude test. each person took a different version of the test. the scores are reported below.morgan got a score of 70.3; this version has a mean of 67.3 and a standard deviation of 6.reyna got a score of 304.6; this version has a mean of 283 and a standard deviation of 24.kaitlyn got a score of 7.68; this version has a mean of 7.2 and a standard deviation of 0.3.if the company has only one position to fill and prefers to fill it with the applicant who performed best on the aptitude test, which of the applicants should be offered the job?

Answer 1

To determine the best performer on the aptitude test, we calculate the z-scores for each score and compare them. Kaitlyn, who had the highest z-score of 1.6, performed the best and should be offered the job.

Step-by-step explanation:

To determine which applicant performed best on the aptitude test, we need to compare their scores in relation to their respective test versions. We can do this by calculating the z-scores for each score.

The formula for calculating z-score is:
(x - mean) / standard deviation

Using this formula, we calculate the z-scores for Morgan, Reyna, and Kaitlyn's scores:

Morgan: z = (70.3 - 67.3) / 6 = 0.5

Reyna: z = (304.6 - 283) / 24 = 0.9

Kaitlyn: z = (7.68 - 7.2) / 0.3 = 1.6

The applicant with the highest z-score performed best on the aptitude test. In this case, Kaitlyn had the highest z-score of 1.6, indicating that she performed the best and should be offered the job.