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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?

Definitions:

Merton

Merton refers to Robert K. Merton, an influential 20th-century sociologist known for developing theories on social structure, anomie, and the sociology of science.

Differential Association Theory

A theory in criminology that asserts criminal behavior is learned through regular interaction with others who engage in crime.

Deviant Behavior

Conduct that breaches the standards or norms expected by society.

Sutherland

A sociologist known for his theory of differential association, which suggests that criminal behavior is learned through social interactions.

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