Refer to the Example. Do the data provide sufficient evidence to indicate that the annual rate of increase in male junior faculty salaries exceeds the annual rate of increase in female junior faculty salaries? That is, do the data provide sufficient evidence to indicate that the slope of the men’s faculty salary line is greater than the slope of the women’s faculty salary line?
Random samples of six female and six male assistant professors were selected from among the assistant professors in a college of arts and sciences. The data on salary and years of experience are shown in Table 13.3. Note that each of the two samples (male and female) contained two professors with 3 years of experience, but no male professor had 2 years of experience. Interpret the output of the MINITAB regression printout and graph the predicted salary lines.
TABLE 13.3 Salary versus Gender and Years of Experience
Years of Experience, x1
Salary for Men, y
Salary for Women, y