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To Examine the Differences Between Salaries of Male and Female

question 50

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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   When testing the individual significance of Train in Model A,what is the test conclusion at 10% significance level? A)  Do not reject H<sub>0</sub>;Train is significant. B)  Reject H<sub>0</sub>;Train is significant. C)  Reject H<sub>0</sub>;Train does not seem to be significant. D)  Do not reject H<sub>0</sub>;Train does not seem to be significant. 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   When testing the individual significance of Train in Model A,what is the test conclusion at 10% significance level? A)  Do not reject H<sub>0</sub>;Train is significant. B)  Reject H<sub>0</sub>;Train is significant. C)  Reject H<sub>0</sub>;Train does not seem to be significant. D)  Do not reject H<sub>0</sub>;Train does not seem to be significant. When testing the individual significance of Train in Model A,what is the test conclusion at 10% significance level?


Definitions:

T-test

A statistical test used to compare the means of two groups or to compare a sample mean to a known value, assessing whether differences are statistically significant.

F-test

A statistical test used to determine if there are significant differences between the variances of two or more groups.

Rejection Region

Rejection region is the range of values in hypothesis testing that leads to the rejection of the null hypothesis if the test statistic falls within this range.

F-test

A statistical test that compares the variances of two populations to ascertain if they come from distributions with equal variances.

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