Salary level and the numner of male and female


A business has two types of employees, managers and workers. Managers earn either $100,000 or $200,000 per year. Workers earn either $10,000 or $20,000 per year. The number of mail and female managers at each salary level and the numner of male and female worker at each salary level are given in the two tables below.

Managers Workers

Male Female Male Female

$100,000 80 20 $10,000 30 20

$200,000 20 30 $20,000 20 80

The proportion of amle managers who make $200,000 per year is

(a) 0.067 (b) 0.133 (c) 0.200 (d) 0.400 (e) 0.677

From these data we may conclude that

(a) the mean salary of female managers is greater than that of male managers.

(b) the mean salary of males in this business is greater than the mean salary of females.

(c) the mean salary of female workers is greater than that of male workers.

(d) this is an expamle of Simpson's paradox.

(e) all of the above.

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Basic Statistics: Salary level and the numner of male and female
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