Medical Wonders Is a Specialized Interior Design Company Focused on Healing

question 29

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

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Definitions:

Mini Version

A smaller or reduced-size edition of something, maintaining the essential features of the original.

Minor Mistakes

Small errors or oversights in a task or document that do not significantly impact the overall quality.

Credibility

The quality of being trusted and believed in, often achieved through consistency, accuracy, and reliability.

Solicited Proposal

A proposal requested by an individual or organization, often in response to a specific need or project.