To Test to Determine Whether There Is Any Significant Difference

Essay

To test to determine whether there is any significant difference in the mean number of units produced per week by each of three production methods, the following data were collected: $$\begin{array} { c c c } \text { Method I } & \text { Method II } & \text { Method III } \\182 & 170 & 162 \\170 & 192 & 166 \\180 & 190 &\end{array}$$ At the α = .05 level of significance, is there any difference in the mean number of units produced per week by each method? Show the complete ANOVA table. (Please note that the sample sizes are not equal.)