A small builder of speculative homes builds three basic house designs and employs two foremen. The builder has used each foreman to build two houses of each design and has obtained the profits given in Table (the profits are given in thousands of dollars, and the sample means are enclosed in blue rectangles). If we use two-way ANOVA, we find that the p-value related to F(int) is .001. Is this consistent with what you see in Figure? Explain your answer. Using the fact that MSE = .39, find an individual 95 percent confidence interval for the true mean profit when foreman 1 builds house design 3.
In table

In figure

House Design A Foreman 117 113182 1,.0 122 11.95 18.2 19.4 10.6512.2 13.6 13.15 9.7 10.25 10.8 11.6 1180 12.7 12.0 Interaction Plot (data means) for Proflt 20 Foreman 2 u 15 10 Design