Question: 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:

Method I Method II Method III

182 170 160

170 192 156

185 190

179

a. Compute the overall sample mean .

b. At the alpha = 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. Note that the sample sizes are not equal.