How do you find the maximum or minimum of g(x) = 2x^2 + 12x +14
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The question is incomplete! Complete question along with answer and step by step explanation is provided below.
Question:
Suppose an industrial/organizational psychologist is interested in the relationships between job satisfaction, job performance, and job compensation. She has data from five different countries on the average monthly salaries paid to computer programmers. She begins her analysis by converting all of the salary data into U.S. dollars:
Country Average monthly salary Standard deviation Original currency
the Czech Republic $1,059 $158.80 koruna
Latvia $790 $118.60 lat
Korea $2,245 $673.60 won
Romania $646 $96.80 leu
the United States $4,141 $1,242.20 dollar
Suppose a computer programmer in each of the five countries listed is offered a salary of $1,500 per month. Using the z scores and assuming that the computer programmer prefers a salary that has a higher relative value, the computer programmer from ______(what country) will likely be the most pleased with the offer, because a salary of $1,500 per month for this country corresponds to the_____.
a) highest z score
b) lowest z score
c) z score closest to zero
Answer:
a) highest z score
Therefore, using the z scores and assuming that the computer programmer prefers a salary that has a higher relative value, the computer programmer from Romania will likely be the most pleased with the offer, because a salary of $1,500 per month for this country corresponds to the highest z score .
Step-by-step explanation:
Let us calculate z-score corresponding to each country.
The z-score is given by
Czech Republic:
μ = $1,059
σ = $158.80
Latvia:
μ = $790
σ = $118.60
Korea:
μ = $2,245
σ = $673.60
Romania:
μ = $646
σ = $96.80
United States:
μ = $4,141
σ = $1,242.20
Country z-score
Czech Republic 2.77
Latvia 5.98
Korea -1.10
Romania 8.82
The United States -2.12
Therefore, using the z scores and assuming that the computer programmer prefers a salary that has a higher relative value, the computer programmer from Romania will likely be the most pleased with the offer, because a salary of $1,500 per month for this country corresponds to the highest z score .