Three potential employees took an aptitude test. Each person took a different version of the test. The scores are reported below.

Nico got a score of 103.2; this version has a mean of 69.6 and a standard deviation of 14.

Emilio got a score of 311.9; this version has a mean of 259 and a standard deviation of 23.

Morgan got a score of 7.9; this version has a mean of 7.3 and a standard deviation of 0.5.

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?

Question

Mathematics

Nolan Atkins

30 April, 01:53

Three potential employees took an aptitude test. Each person took a different version of the test. The scores are reported below.

Nico got a score of 103.2; this version has a mean of 69.6 and a standard deviation of 14.

Emilio got a score of 311.9; this version has a mean of 259 and a standard deviation of 23.

Morgan got a score of 7.9; this version has a mean of 7.3 and a standard deviation of 0.5.

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?

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Answers (1)

Know the Answer?

Julien Pruitt · Answer 1

Vincent and Reyna.

Step-by-step explanation:

To compare the performance of three potential employees, we have to convert each score into z score.

Vincent got 83.5 for a N (68.2, 99)

Z score for Vincent =

Kaitlyn got 251.2 with N (238, 22)

Z score for Kaitlyn =

Reyna got a score of 8.04 for N (7.27, 0.7)

Z score for Reyna =

Z score higher is a better option since all z scores are positive

Hence here Reyna is a good option.