BigShots,Inc.is a specialty e-tailer that operates 87 catalog Web sites on the Internet. Kevin Conn,Sales Director,feels that the style (color scheme,graphics,fonts,etc.)of a Web site may affect its sales. He chooses three levels of design style (neon,old world and sophisticated)and randomly assigns six catalog Web sites to each design style. Analysis of Kevin's data yielded the following ANOVA table. 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

Question

Quizplus · Accepted Answer

The appropriate decision is to reject the null hypothesis for the design styles neon and old world, but not for sophisticated. This is based on the ANOVA table provided, which shows a significant difference in means for neon and old world compared to the grand mean, while there is no significant difference for sophisticated. Therefore, we can conclude that design style does have an effect on sales for neon and old world, but not for sophisticated.

BigShots,Inc α\alphaα = 005,the Appropriate Decision Is _____________ μ\muμ 1 ≠\neq= μ\muμ

BigShots,Inc $\alpha$ = 005,the Appropriate Decision Is _____________ $\mu$ ₁ $\neq$ $\mu$