December 8

Task 1ai Boxplot

Task 1aii Boxplot

Task 1bi Scatterplot

Task 1bii Scatterplot

Task 1c Linear Model

Task 1d Scatterplot Grouped by Rank

Task 2a Null Hypothesis

Hypothesis (null) There is no relation between the independent variable Academic Year Salary and the remaining dependent variables, Sex, Academic Rank, Number of Years in current Rank, Highest Degree obtained, and Number of years since highest degree was earned

Hypothesis (alternative) There is a relationship between the independent variable Academic Year Salary and the remaining dependent variables, Sex, Academic Rank, Number of Years in current Rank, Highest Degree obtained, and Number of years since highest degree was earned

A linear regression analysis will be used to test the null hypothesis

2a Null Hypothesis Rejected

The null hypothesis is rejected at the specified .05 level, Adjusted R-squared= 0.76, p <.05

2b Null Hypothesis

Hypothesis (null) There is no relation between the independent variable Academic Year Salary and Gender

Hypothesis (alternative) There is a relationship between the independent variable Academic Year Salary and Gender

A linear regression analysis will be used to test the null hypothesis

2b Fail to Reject the Null Hypothesis

Fail to reject the null hypothesis at the specified .05 level, Adjusted R-squared= 0.05, p >.05

2c

The true difference between the salaries of male and female faculty is between -2597.48 and 1502.53.

3 Regression Analysis Hypothesis

Hypothesis (null) There is no relationship between the independent variable Academic Year Salary and Sex

Hypothesis (alternative) There is a relationship between the independent variable Academic Year Salary and Sex

A linear regression analysis will be used to test the null hypothesis

3 t-Test Analysis Hypothesis

Hypothesis (null) There is no difference by sex in the mean yearly academic salary

Hypothesis (alternative) There is a difference by sex in the the mean yearly academic salary

A t-test will be used to test the null hypothesis

3 Fail to Reject the Null Hypothesis for the Linear Regression

Fail to reject the null hypothesis at the specified .05 level, Adjusted R-squared= 0.05, p >.05

3 Fail to Reject the Null Hypothesis for the t-Test

Fail to reject the null hypothesis at the specified .05 level, t= 1.85, p* >.05

Regression and t-Test Discussion

Both the regression and t-test analysis failed to reject the null hypothesis at the .05 level. The regression and t-test analysis resulted in the same answer. The difference between the mean salary in the two groups (male and female) tested through regression and a t-test are the same and therefore has the same outcome.