Topic: Two-factor Analysis of Variance

The human resources management of a company specializing in the design, construction, and sale of office furniture received several complaints from some female employees regarding gender discrimination and the claim that they were being paid less than their male counterparts for the same work. To assess the validity of these complaints, the human resources manager gathered information on a randomly selected sample of compensation received, in a given month, by occupants of 3 different positions of different genders, but which are supposed to have similar incomes. This information is presented below. The figures represent the monthly incomes of the occupants of each of the positions: a) Can we assert that the positions indeed have similar incomes and that both genders earn comparable incomes? b) Is it possible to claim that there is no interaction between gender and position? Work with an alpha (?) of 0.05, state the hypotheses, and perform the calculations. Whats the conclusion?

Male Female Furniture Design 16814 17105 16438 15418 16262 15672 Sales 17910 16571 16065 15407 16854 15573 17093 17391 Remodeling 15925 16585 16657 15734