Pate's Pharmacy, Inc Using $\alpha$ = 005, the Appropriate Decision Is _____________

Multiple Choice

Pate's Pharmacy, Inc.operates a regional chain of 120 pharmacies.Each pharmacy's floor plan includes a greeting card department which is relatively isolated.Sandra Royo, Marketing Manager, feels that the level of lighting in the greeting card department may affect sales in that department.She chooses three levels of lighting (soft, medium, and bright) and randomly assigns six pharmacies to each lighting level.Analysis of Sandra's data yielded the following ANOVA table. $$\begin{array} { | c | c | c | c | c | } \hline \text { Source of Variation } & \text { SS } & \text { df } & \text { MS } & F \\\hline \text { Treatment } & 3608.333 & 2 & 1804.167 & \\\hline \text { Errar } & 13591.67 & 15 & 906.1111 & \\\hline \text { Total } & 17200 & 17 & & \\\hline\end{array}$$ Using $\alpha$ = 0.05, the appropriate decision is _____________.

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