In Order to Test to See If There Is Any $\begin{array}{lll}\text { Method I }&\text { Method II }&\text { Method III }\\182 & 170 & 162 \\170 & 192 & 166 \\179 & 190 &\end{array}$

Essay

In order to test to see if 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. Please note that the sample sizes are not equal.)
$\begin{array}{lll}\text { Method I }&\text { Method II }&\text { Method III }\\182 & 170 & 162 \\170 & 192 & 166 \\179 & 190 &\end{array}$
a. Compute .
b. At the α = 0.05 level of significance, is there any difference in the mean number of units produced per week by each method? Show the complete ANOVA table. Use both the critical and p-value approaches.