You are part of a team of researchers examining potential pay disparity between the male and female employees of a private prison. One member of your team, Mr. Green, reports that female employees are paid less than male employees. Another member of the team, Mr. Brown, argued that on average the male employees have worked at the prison longer and any pay disparity is due to seniority. Mr. Green contends that not only are female employees paid less they get smaller salary increases. Mr. Brown quits, claiming that Mr. Green is too hard to work with. Based on the data below, you have been asked to resolve the debate and answer the following questions: Male Female 300 200 Mean Salary in $1000 30 20 Mean Years with the Firm 12 8 Covariance of Salary & Years 12 2 Variance of Years with the Firm 16 4 Show your work : 1. Who is right Mr. Green, or Mr. Brown?

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We’re suppose to show our work using the formula for regression, but I’m not sure how too.
You are part of a team of researchers examining
potential pay disparity between the male and female
employees of a private prison. One member of your team,
Mr. Green, reports that female employees are paid less than
male employees. Another member of the team, Mr. Brown,
argued that on average the male employees have worked at
the prison longer and any pay disparity is due to seniority.
Mr. Green contends that not only are female employees
paid less they get smaller salary increases. Mr. Brown quits,
claiming that Mr. Green is too hard to work with. Based on
the data below, you have been asked to resolve the debate
and answer the following questions:
Male
Female
N
300
200
Mean Salary in $1000
30
20
Mean Years with the Firm
12
8
Covariance of Salary & Years 12
Variance of Years with the Firm
2
16
4
Show your work :
1. Who is right Mr. Green, or Mr. Brown?
Transcribed Image Text:You are part of a team of researchers examining potential pay disparity between the male and female employees of a private prison. One member of your team, Mr. Green, reports that female employees are paid less than male employees. Another member of the team, Mr. Brown, argued that on average the male employees have worked at the prison longer and any pay disparity is due to seniority. Mr. Green contends that not only are female employees paid less they get smaller salary increases. Mr. Brown quits, claiming that Mr. Green is too hard to work with. Based on the data below, you have been asked to resolve the debate and answer the following questions: Male Female N 300 200 Mean Salary in $1000 30 20 Mean Years with the Firm 12 8 Covariance of Salary & Years 12 Variance of Years with the Firm 2 16 4 Show your work : 1. Who is right Mr. Green, or Mr. Brown?
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