Medical Wonders Is a Specialized Interior Design Company Focused on Healing

Multiple Choice

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: Using $\alpha$ = 0.05, the appropriate decision is ___.

A) reject the null hypothesis $\mu$ ₁ = $\mu$ ₂= $\mu$ ₃
B) reject the null hypothesis $\mu$ ₁ $\neq$$\mu$ ₂ $\neq$$\mu$ ₃
C) do not reject the null hypothesis $\mu$ ₁ $\ge$ $\mu$ ₂ $\ge$$\mu$ ₃
D) do not reject the null hypothesis $\mu$ ₁ $\le$$\mu$ ₂ $\le$ $\mu$ ₃
E) inconclusive