The following problem:

There are two treatment factors. The rst one is battery \"duty\" (level l= alkaline. level 2- heavy duty. level 3= super heavy duty. The second factor is "brand" [level 1= name brand. level 2= store brand). This gives 6 treatment combinations with 3 observations per each combination. This study is about the lifetimes of batteries. Consider one-way ANOVA setup. The following table represents all 6 treatments Treatment 11: Alkaline, name brand 12: Alkaline, store brand 21: Heavy duty, name brand 22: Heavy duty. store brand 31: Super heavy duty, name brand 32: Super heavy duty, store brand Complete the following one-way ANOVA table using just the two-way ANOVA table. Source df SS MS Treatment 476.7 95.34 4.345 Error 12 263.3 21.94 Total 17 740.0g) Now we want to compare name and store brands for alkaline batteries ( y1 =12.5, y12 =7.4). Find a 95% confidence interval for /11 - /12. Do we have evidence to state that there is significant difference between name and store brands for alkaline batteries? h) Adjust the confidence interval obtained in g) for multiple comparisons assuming that Un1 - M12 is one of five contrasts of your interest. Report the adjusted confidence interval