QUESTION 3 A business has two types of employees - managers and workers. Managers earn either $100,000 or $200,000 a year. Workers earn either $10,000 or $20,000 a year. The number of male and female managers at each salary level are shown in the first table below. The number of male and female workers at each salary level are shown in the second table below. Managers $100,000 $200,000 Male 80 20 Female 20 30Workers $10,000 $20,000 Male 30 20 Female 20 80 These tables are converted to row percentages below: Managers $100,000 $200,000 Male 80% 20% Female 40% 60%Workers $10,000 $20,000 Male 60% 40% Female 20% 80% Looking at the data, broken down by type of employee, which of the following best describes the relationship between sex and salary? Group of answer choices- (A) Broken down by employee type, females are more likely to earn a higher salary than males. There is a higher percentage of female managers at the higher salary level. 60% of female managers make a $200,000 yearly salary, while only 20% of male managers make a $200,000 yearly salary. There is also a higher percentage of female workers at the higher salary level. 80% of female workers make a $20,000 salary, while only 40% of males make a $20,000 salary. (B) Broken down by employee type, females tend to fall into the higher salary level. 60% of female managers are at the $100,000 salary level, while only 40% of females are at the $100,000 salary level. Similarly, 80% of female workers are at the higher salary level, while only 20% of females are at the lower salary level. (C) Broken down by employee type, more females earn higher salaries than males. There are 30 female managers at the $200,000 salary level, while there are only 20 males at this salary level. There are 80 female workers at the $20,000 salary level, while there are only 20 males at this salary level. (D) Broken down by employee type, males tend to fall into the lower salary level. 80% of male managers are at the $100,000 salary level, while only 20% of males are at the $200,000 salary level. Similarly, 60% of male workers are at the lower salary level, while only 40% of the males are at the higher salary level.

QUESTION 3 A business has two types of employees - managers and workers. Managers earn either $100,000 or $200,000 a year. Workers earn either $10,000 or $20,000 a year. The number of male and female managers at each salary level are shown in the first table below. The number of male and female workers at each salary level are shown in the second table below. Managers $100,000 $200,000 Male 80 20 Female 20 30Workers $10,000 $20,000 Male 30 20 Female 20 80 These tables are converted to row percentages below: Managers $100,000 $200,000 Male 80% 20% Female 40% 60%Workers $10,000 $20,000 Male 60% 40% Female 20% 80% Looking at the data, broken down by type of employee, which of the following best describes the relationship between sex and salary? Group of answer choices- (A) Broken down by employee type, females are more likely to earn a higher salary than males. There is a higher percentage of female managers at the higher salary level. 60% of female managers make a $200,000 yearly salary, while only 20% of male managers make a $200,000 yearly salary. There is also a higher percentage of female workers at the higher salary level. 80% of female workers make a $20,000 salary, while only 40% of males make a $20,000 salary. (B) Broken down by employee type, females tend to fall into the higher salary level. 60% of female managers are at the $100,000 salary level, while only 40% of females are at the $100,000 salary level. Similarly, 80% of female workers are at the higher salary level, while only 20% of females are at the lower salary level. (C) Broken down by employee type, more females earn higher salaries than males. There are 30 female managers at the $200,000 salary level, while there are only 20 males at this salary level. There are 80 female workers at the $20,000 salary level, while there are only 20 males at this salary level. (D) Broken down by employee type, males tend to fall into the lower salary level. 80% of male managers are at the $100,000 salary level, while only 20% of males are at the $200,000 salary level. Similarly, 60% of male workers are at the lower salary level, while only 40% of the males are at the higher salary level.

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter6: Matrices And Determinants

Section6.3: Inverses Of Matrices And Matrix Equations

Problem 63E: Sales Commissions A saleswoman works at a kiosk that offers three different models of cell phones:...

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QUESTION 3

A business has two types of employees - managers and workers. Managers earn either $100,000 or $200,000 a year. Workers earn either $10,000 or $20,000 a year. The number of male and female managers at each salary level are shown in the first table below. The number of male and female workers at each salary level are shown in the second table below.

Managers

	$100,000	$200,000
Male	80	20
Female	20	30

Workers

	$10,000	$20,000
Male	30	20
Female	20	80

These tables are converted to row percentages below:

Managers

	$100,000	$200,000
Male	80%	20%
Female	40%	60%

Workers

	$10,000	$20,000
Male	60%	40%
Female	20%	80%

Looking at the data, broken down by type of employee, which of the following best describes the relationship between sex and salary?

Group of answer choices-

(A) Broken down by employee type, females are more likely to earn a higher salary than males. There is a higher percentage of female managers at the higher salary level. 60% of female managers make a $200,000 yearly salary, while only 20% of male managers make a $200,000 yearly salary. There is also a higher percentage of female workers at the higher salary level. 80% of female workers make a $20,000 salary, while only 40% of males make a $20,000 salary.

(B) Broken down by employee type, females tend to fall into the higher salary level. 60% of female managers are at the $100,000 salary level, while only 40% of females are at the $100,000 salary level. Similarly, 80% of female workers are at the higher salary level, while only 20% of females are at the lower salary level.

(C) Broken down by employee type, more females earn higher salaries than males. There are 30 female managers at the $200,000 salary level, while there are only 20 males at this salary level. There are 80 female workers at the $20,000 salary level, while there are only 20 males at this salary level.

(D) Broken down by employee type, males tend to fall into the lower salary level. 80% of male managers are at the $100,000 salary level, while only 20% of males are at the $200,000 salary level. Similarly, 60% of male workers are at the lower salary level, while only 40% of the males are at the higher salary level.

Expert Solution

Step 1

Given,

Summary table:

Managers

	$100,000	$200,000
Male	80%	20%
Female	40%	60%

Workers

	$10,000	$20,000
Male	60%	40%
Female	20%	80%

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