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A Researcher Wishes to Test H0:μ1=μ2=μ3\mathrm { H } _ { 0 } : \mu _ { 1 } = \mu _ { 2 } = \mu _ { 3 }

question 11

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A researcher wishes to test H0:μ1=μ2=μ3\mathrm { H } _ { 0 } : \mu _ { 1 } = \mu _ { 2 } = \mu _ { 3 } against H1\mathrm { H } _ { 1 } :at least one of the means is different. Based on the ANOVA table below, what is the mean square due to error?
 SOURCE  df  SS  MS  F p Treatments 286.2243.1113.150.0174 Blocks 20.8890.4440.1360.8767 Error 413.113.28 Total 8100.22\begin{array} { l c c c c c } \text { SOURCE } & \text { df } & \text { SS } & \text { MS } & \text { F } & p \\\hline \text { Treatments } & 2 & 86.22 & 43.11 & 13.15 & 0.0174 \\\text { Blocks } & 2 & 0.889 & 0.444 & 0.136 & 0.8767 \\\text { Error } & 4 & 13.11 & 3.28 & & \\\\\hline \text { Total } & 8 & 100.22 & & &\end{array}


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