Question

es 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 which applicant performed best on the aptitude test, calculate the z-score for each applicant's score using the formula: z = (x - mean) / standard deviation. Compare the z-scores to determine the applicant with the highest z-score, who should be offered the job.

Step-by-step explanation:

To determine which applicant should be offered the job, we need to compare their scores to the mean and standard deviation of their respective versions of the aptitude test.

First, calculate the z-score for each applicant's score using the formula: z = (x - mean) / standard deviation.

Next, compare the z-scores to determine the applicant who performed best. The applicant with the highest z-score is the one who did the best on the aptitude test and should be offered the job.

In this case, Morgan's z-score is (70.3 - 67.3) / 6 = 0.5, Reyna's z-score is (304.6 - 283) / 24 = 0.9, and Kaitlyn's z-score is (7.68 - 7.2) / 0.3 = 1.6.

Therefore, Kaitlyn performed the best on the aptitude test and should be offered the job.