Medical Wonders Is a Specialized Interior Design Company Focused on Healing

question 24

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. $$\begin{array} { | l | r | r | r | r | } \hline \text { Source of Variation } & { \text { SS } } & { \text { df } } & { \text { MS } } & { \text { F } } \\\hline \text { Treatment } & 33476.19 & 2 & 16738.1 & 9.457912 \\\hline \text { Error } & 26546.18 & 15 & 1769.745 & \\\hline \text { Total } & 60022.37 & 17 & & \\\hline\end{array}$$ Using $\alpha$ = 0.05, the 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

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Definitions:

Soil Erosion

The wearing away or removal of soil from the land; although soil erosion occurs naturally from precipitation and runoff, human activities (such as clearing the land) accelerate it.

Mosses

Small, green, non-vascular plants that usually grow in dense green clumps or mats, often in damp or shady locations.

Vascular Strand

Vascular strand refers to a bundle of plant tissues that includes xylem and phloem, conducting water, nutrients, and sugars throughout the plant.

Microphylls

Small, simple leaves with a single vein, found in some plant species, notably the lycophytes.