BigShots, Inc Using $\alpha$ = 005, the Appropriate Decision Is _____________ $\mu$

Multiple Choice

BigShots, Inc.is a specialty e-tailer that operates 87 catalog websites on the Internet.Kevin Conn, Sales Director, feels that the style (color scheme, graphics, fonts, etc.) of a website may affect its sales.He chooses three levels of design style (neon, old world and sophisticated) and randomly assigns six catalog websites to each design style.Analysis of Kevin's data yielded the following ANOVA table. $$\begin{array} { | l | r | r | l | l | } \hline \text { Source of Variation } & \text { SS } & \mathrm { df } & \mathrm { MS } & F \\\hline \text { Between Groups } & 68102.33 & 2 & 34051.17 & 17.50545 \\\hline \text { Within Groups } & 29177.67 & 15 & 1945.178 & \\\hline \text { Total } & 97280 & 17 & & \\\hline\end{array}$$ Using $\alpha$ = 0.05, the appropriate decision is _____________.

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