Three potential employees took an aptitude test. Each person took a different ve

Question

Three potential employees took an aptitude test. Each person took a different version of the test. The scores are as follows: Norma got a score of 81.7; this version has a mean of 68.1 and a standard deviation of 8. Tera got a score of 231.2; this version has a mean of 218 and a standard deviation of 22. Nico got a score of 7.8; this version has a mean of 7.4 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?

Explanation / Answer

Determine the z score for three candidates to comapr ethe best applicant using z score formula.

z=(Xi-Xbar)sigma, where Xi is the score obtained by the respective candidates and Xbar is the mean and sigma the standard deviation.

Norma's z score is as follows:

z=(81.7-68.1)/8=1.7

Similarly, Tara's and Nico's z scores are 0.6 and 0.8.

It seems that Norma is the best candidate.

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