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To Examine the Differences Between Salaries of Male and Female

Question 77

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To examine the differences between salaries of male and female middle managers of a large bank, 90 individuals were randomly selected, and two models were created with the following variables considered: Salary = the monthly salary (excluding fringe benefits and bonuses) ,
Educ = the number of years of education,
Exper = the number of months of experience,
Train = the number of weeks of training,
Gender = the gender of an individual; 1 for males, and 0 for females.
The Excel partial outputs corresponding to these models are available and shown below.
Model A: Salary = β0 + β1Educ + β2Exper + β3Train + β4Gender + ε To examine the differences between salaries of male and female middle managers of a large bank, 90 individuals were randomly selected, and two models were created with the following variables considered: Salary = the monthly salary (excluding fringe benefits and bonuses) , Educ = the number of years of education, Exper = the number of months of experience, Train = the number of weeks of training, Gender = the gender of an individual; 1 for males, and 0 for females. The Excel partial outputs corresponding to these models are available and shown below. Model A: Salary = β<sub>0</sub> + β<sub>1</sub>Educ + β<sub>2</sub>Exper + β<sub>3</sub>Train + β<sub>4</sub>Gender + ε   Model B: Salary = β<sub>0</sub> + β<sub>1</sub>Educ + β<sub>2</sub>Exper + β<sub>3</sub>Gender + ε   A group of female managers considers a discrimination lawsuit if on average their salaries could be statistically proven to be lower by more than $500 than the salaries of their male peers with the same level of education and experience. Using Model B, what is the conclusion of the appropriate test at 10% significance level? A)  Do not reject H<sub>0</sub>; the salaries of female managers cannot be proven to be lower on average by more than $500. B)  Reject H<sub>0</sub>; the salaries of female managers cannot be proven to be lower on average by more than $500. C)  Do not reject H<sub>0</sub>; the salaries of female managers are lower on average by more than $500. D)  Reject H<sub>0</sub>; the salaries of female managers are lower on average by more than $500. Model B: Salary = β0 + β1Educ + β2Exper + β3Gender + ε To examine the differences between salaries of male and female middle managers of a large bank, 90 individuals were randomly selected, and two models were created with the following variables considered: Salary = the monthly salary (excluding fringe benefits and bonuses) , Educ = the number of years of education, Exper = the number of months of experience, Train = the number of weeks of training, Gender = the gender of an individual; 1 for males, and 0 for females. The Excel partial outputs corresponding to these models are available and shown below. Model A: Salary = β<sub>0</sub> + β<sub>1</sub>Educ + β<sub>2</sub>Exper + β<sub>3</sub>Train + β<sub>4</sub>Gender + ε   Model B: Salary = β<sub>0</sub> + β<sub>1</sub>Educ + β<sub>2</sub>Exper + β<sub>3</sub>Gender + ε   A group of female managers considers a discrimination lawsuit if on average their salaries could be statistically proven to be lower by more than $500 than the salaries of their male peers with the same level of education and experience. Using Model B, what is the conclusion of the appropriate test at 10% significance level? A)  Do not reject H<sub>0</sub>; the salaries of female managers cannot be proven to be lower on average by more than $500. B)  Reject H<sub>0</sub>; the salaries of female managers cannot be proven to be lower on average by more than $500. C)  Do not reject H<sub>0</sub>; the salaries of female managers are lower on average by more than $500. D)  Reject H<sub>0</sub>; the salaries of female managers are lower on average by more than $500. A group of female managers considers a discrimination lawsuit if on average their salaries could be statistically proven to be lower by more than $500 than the salaries of their male peers with the same level of education and experience. Using Model B, what is the conclusion of the appropriate test at 10% significance level?


A) Do not reject H0; the salaries of female managers cannot be proven to be lower on average by more than $500.
B) Reject H0; the salaries of female managers cannot be proven to be lower on average by more than $500.
C) Do not reject H0; the salaries of female managers are lower on average by more than $500.
D) Reject H0; the salaries of female managers are lower on average by more than $500.

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