Medical Wonders Is a Specialized Interior Design Company Focused on Healing

Medical Wonders is a specialized interior design company focused on healing artwork.The CEO, Kathleen Kelledy claims that artwork has healing effects for patients staying in a hospital, as measured by reduced length of stay.Her current client is a children's cancer hospital.Kathleen is interested in determining the effect of three different pieces of healing artwork on children.She chooses three paintings (a horse photo, a bright abstract, and a muted beach scene) and randomly assigns six hospital rooms to each painting.Analysis of Kathleen's data yielded the following ANOVA table. $$\begin{array} { | l | r | r | r | r | } \hline \text { Source of Variation } & { \text { SS } } & { \text { df } } & { \text { MS } } &{ \text { F } } \\\hline \text { Treatment } & 33476.19 & 2 & 16738.1 & 9.457912 \\\hline \text { Error } & 26546.18 & 15 & 1769.745 & \\\hline \text { Total } & 60022.37 & 17 & & \\\hline\end{array}$$ Using $\alpha$ = 0.05, the critical F value is _____________.

A) 13.68
B) 19.43
C) 3.59
D) 19.45
E) 3.68