The "workprog.sav" is a hypothetical data file that concerns a government works program that tries to place disadvantaged people into better jobs. A sample of potential program participants were followed, some of whom were randomly selected for enrollment in the program, while others were not. Each case represents a separate program participant.

$($a$)$ Perform the main effect only multivariate analysis of variance $($MANOVA$)$ using the Income before the program and Income after the program as dependent variables, and program status and level of education as independent variables $($include the Homogeneity test$).$ Copy the output into your answer script.

$(10$ marks$)$

$($b$)$ Based on the homogeneity of covariance matrices test result, if necessary, do the appropriate transformation$($s$)$ of the appropriate variable$($s$)$ and repeat the analysis as in $($a$)$ with a Post Hoc Test $($using "Tukey's HSD$")$ on level of education for both income before and after the program.

$(5+5+5$ marks$)$

$($c$)$ Explain what you observed in the results of section $($b$)$ based on the transformation that you performed.

$(3$ marks$)$

$($d$)$ Interpret the results of the analysis in section $($b$)$ above.

$(7$ marks$)$