Using R programming or by hand, please solve the following:

1. A sociologist selected a random sample of 19 adjunct professors who teach in the evening division of a large metropolitan university for a study of special problems associated with teaching in the evening division. The data collected include the amount of payment received by the faculty member for teaching a course during the past semester. The sociologist classified the faculty members by subject matter of course (factor A) and highest degree earned (factor B). The earnings per course (in thousand dollars) follow. Data: Factor A (subject matter) Factor B (highest degree) j=1 Bachelor j=2 Master j=3 Doctorate i=1 Social Sciences 2.5 2.7 3.5 2.3 2.4 3.3 3.4 i=2 Engineering 2.7 2.9 3.7 3.0 3.6 30 i=3 Management 2.5 2.3 3.3 2.6 3.4 3.6 i. Present the X and matrices for the regression model matching two factor model (). Write down this regression model. ii. Estimate treatment means of the above model, set up hypothesis, compute the test statistics, define the rejection region and make a decision. iii. Estimate the following comparisons, and find the Bonferroni procedure with a 94% family confidence coefficient. State your findings