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To Examine the Differences Between Salaries of Male and Female

question 92

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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.
Excel partial outputs corresponding to these models are available and shown below.
Model A: Salary = β0 + β1 Educ + β2 Exper + β3 Train + β4 Gender + 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. 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   Under the assumption of the same years of education and months of experience,what is the p-value for testing whether the mean salary of males is greater than the mean salary of females using Model B? A)  At least 0.025 B)  Less than 0.025 but at least 0.01 C)  Less than 0.01 but at least 0.005 D)  Less than 0.005 Model B: Salary = β0 + β1 Educ + β2 Exper + β3 Gender + 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. 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   Under the assumption of the same years of education and months of experience,what is the p-value for testing whether the mean salary of males is greater than the mean salary of females using Model B? A)  At least 0.025 B)  Less than 0.025 but at least 0.01 C)  Less than 0.01 but at least 0.005 D)  Less than 0.005 Under the assumption of the same years of education and months of experience,what is the p-value for testing whether the mean salary of males is greater than the mean salary of females using Model B?


Definitions:

Average Cost Curve

A graphical representation showing the average cost of production at different levels of output.

Production Function

A mathematical model describing the relation between input quantities and their respective outputs.

Marginal Products

A new definition for the additional units of output gained by employing one more unit of a specific input, keeping all other inputs constant.

Law of Diminishing Returns

An economic principle stating that as investment in a particular area increases, the rate of profit from that investment, after a certain point, cannot continue to increase if other inputs remain the same.

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