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)do not reject the null hypothesis $\mu$ 1 = $\mu$ 2 = $\mu$ 3
B)do not reject the null hypothesis $\mu$ 1 $\neq$ $\mu$ 2 $\neq$ $\mu$ 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)do nothing

Question

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)do not reject the null hypothesis $\mu$ 1 = $\mu$ 2 = $\mu$ 3 
B)do not reject the null hypothesis $\mu$ 1 $\neq$ $\mu$ 2 $\neq$ $\mu$ 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)do nothing

Quizplus · Accepted Answer

Based on the ANOVA table, the p-value for the design style factor (between groups) is 0.283 which is greater than the significance level of 0.05. Therefore, we fail to reject the null hypothesis and conclude that there is no significant difference in sales among the three design styles. The appropriate decision is to do not reject the null hypothesis. Option A is the correct answer.

BigShots,Inc α\alphaα = 005,the Appropriate Decision Is _____________ μ\muμ 1 = μ\muμ 2 =

BigShots,Inc $\alpha$ = 005,the Appropriate Decision Is _____________ $\mu$ 1 = $\mu$ 2 =