The following ficticious sample data shows annual income figures, in thousands of Euros,

categorized according to the two factors of gender and level of education. State the

assumptions that must hold for Two-Way ANOVA to be applicable towards this data set.

Assuming that all assumptions to conduct a Two-Way ANOVA hold, perform a

Two-Way ANOVA using a significance level of 0.05. Show all work (If you use any

technology in your solution (TI-84, excel, SPSS, minitab, etc...), cite when/where.). Does

your analysis indicate a significant interaction effect between the variables gender and

level of education (on annual income figures)? If NO, then do gender or level of education

alone have significant effects on annual income figures? Justify your answers.

Female Male

High school 23, 27, 24, 26 25, 26, 22, 24

College 28, 36, 31, 33 35, 32, 39, 28

Advanced degree 41, 38, 43, 49 35, 50, 47, 44