Question

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 1

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

$z = \frac{x-\mu}{\sigma } }$

Czech Republic:

μ = $1,059

σ =  $158.80

$z = \frac{1500-1059}{158.80 } } \\\\z = 2.77$

Latvia:

μ = $790

σ =  $118.60

$z = \frac{1500-790}{118.60 } } \\\\z = 5.98$

Korea:

μ = $2,245

σ =  $673.60

$z = \frac{1500-2245}{673.60 } } \\\\z = -1.10$

Romania:

μ = $646

σ =  $96.80

$z = \frac{1500-646}{96.80 } } \\\\z = 8.82$

United States:

μ = $4,141

σ =  $1,242.20

$z = \frac{1500-4141}{1242.20 } } \\\\z = -2.12$

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 .