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To Examine the Differences Between Salaries of Male and Female

Question 18

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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 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
Gender = the gender of an individual; 1 for males, and 0 for females
The regression results obtained for the models are as follows:
Model A: Salary = β0 + β1 Educ + β2 Exper + β3 Gender + β4 Exper × Gender + ε,
Model B: Salary = β0 + β1 Educ + β2 Exper + ε, are summarized in the following table. To examine the differences between salaries of male and female middle managers of a large bank, 90 individuals were randomly selected and 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 Gender = the gender of an individual; 1 for males, and 0 for females The regression results obtained for the models are as follows: Model A: Salary = β<sub>0</sub> + β<sub>1</sub> Educ + β<sub>2</sub> Exper + β<sub>3</sub> Gender + β<sub>4</sub> Exper × Gender + ε, Model B: Salary = β<sub>0 </sub>+ β<sub>1</sub> Educ + β<sub>2</sub> Exper + ε, are summarized in the following table.   Note: The values of relevant test statistics are shown in parentheses below the estimated coefficients. At 1% significance level, what is the conclusion of testing the joint significance of Exper and Exper × Gender in Model A? Note: The values of relevant test statistics are shown in parentheses below the estimated coefficients.
At 1% significance level, what is the conclusion of testing the joint significance of Exper and Exper × Gender in Model A?

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Reject H0; for α = 0....

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