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lord [1]
3 years ago
6

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?
Mathematics
1 answer:
Margaret [11]3 years ago
8 0

Answer:

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

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Answer:

Full-time worker minimum monthly income = US$ 7,846.40

Part-time worker minimum monthly income  = US$ 7,846.40

Full-time worker hourly wage = US$ 49.04

Part-time worker hourly wage = US$ 98.08

Step-by-step explanation:

1. Let's review the information given to answer the question correctly:

Monthly costs of a 2-adult and 3-children family in the Modesto metro area = US$ 7,846

Full-time worker = 4 weeks of 40-hour per month

Part-time worker = 2 weeks of 40-hour per month

2. Let's calculate the minimum monthly income and hourly wage per worker

Full-time worker hourly wage = Monthly costs/160

Part-time worker hourly wage = Monthly costs/80

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Part-time worker hourly wage = 7,846/80

Full-time worker hourly wage = US$ 49.04

Part-time worker hourly wage = US$ 98.08

Full-time worker minimum monthly income = Hourly wage * 160

Part-time worker minimum monthly income  = Hourly wage * 80

Full-time worker minimum monthly income = US$ 7,846.40

Part-time worker minimum monthly income  = US$ 7,846.40

Step-by-step explanation:

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