Question

Three potential employees took an aptitude test. Each person took a different version of the test. The scores are reported below. Justin got a score of 85.2; this version has a mean of 62.4 and a standard deviation of 12. Cade got a score of 264; this version has a mean of 209 and a standard deviation of 22. Emilio got a score of 8.06; this version has a mean of 6.8 and a standard deviation of 0.9. 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?

          Three potential employees took an aptitude test. Each person took a different version of the test. The scores are reported below.
Justin got a score of
85.2; this version has a mean of
62.4 and a standard deviation of
12.
Cade got a score of
264; this version has a mean of
209 and a standard deviation of
22.
Emilio got a score of
8.06; this version has a mean of
6.8 and a standard deviation of
0.9.
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?
        
Show more…
Three potential employees took an aptitude test. Each person took a different version of the test. The scores are reported below.
Justin got a score of
85.2; this version has a mean of
62.4 and a standard deviation of
12.
Cade got a score of
264; this version has a mean of
209 and a standard deviation of
22.
Emilio got a score of
8.06; this version has a mean of
6.8 and a standard deviation of
0.9.
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?

Added by Jose Antonio P.

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Elementary Statistics a Step by Step Approach
Elementary Statistics a Step by Step Approach
Allan G. Bluman 9th Edition
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Transcript

-
00:01 We're looking at some aptitude test scores, but because people took different versions of the test, we need some way to compare them.
00:08 So let's go through these people.
00:11 We have cade.
00:12 He got a score of 76 .9, and his version had a mean, mu, of 62 .9, and a standard deviation of 7.
00:26 Brittany scores 325 .4.
00:29 Her version of the test had a mean of 288, a standard deviation of 17, terra scored 7 .84, her test had a mean of 7 .4 and a standard deviation of 0 .4.
00:50 So, who performed best on the aptitude test? so i'm going to compare the z scores here.
00:58 A z score tells you how many standard deviations away from the mean a value is.
01:04 To calculate it, you take your value, subtract the mean, divide by the standard deviation...
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