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 81.6; this version has a mean of 72.6 and a standard deviation of 15. Emilio got a score of 225.3; this version has a mean of 205 and a standard deviation of 29. Alissa got a score of 8.08; this version has a mean of 7.2 and a standard deviation of 0.4. 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?

ALISSA

Step-by-step explanation:

Given the following scores :

NICO:

Score (x) = 81.6

Mean (m) = 72.6

Standard deviation (sd) = 15

EMILIO:

Score (x) = 225.3

Mean (m) = 205

Standard deviation (sd) = 29

ALISSA:

Score (x) = 8.08

Mean (m) = 7.2

Standard deviation (sd) = 0.4

STANDARDIZING THE DIFFERENT APTITUDE TEST SCORES:

OBTAINING THE ZSCORES :

Zscore = (x - mean) / standard deviation

NICO:

Zscore = (81.6 - 72.6) / 15

Zscore = 0.6

EMILIO:

Zscore = (225.3 - 205) / 29

Zscore = 0.7

ALISSA:

Zscore = (8.08 - 7.2) / 0.4

Zscore = 2.2

From the result of the Zscore, the best fit for the position is ALISSA

the cost of the pair of pants is $31.95