Question 1 (18 points ) Three brands of batteries are under study. It is suspected that the lives (in weeks) of the three brands are different. Five randomly selected batteries of each brand are tested with the following results: A snippet of the data and the R output for data analysis are given below. The ANOVA table with some values missing is also given below. dat_battery #1? Brand Life #1? 1 1 100 #1? 2 1 96 #1? 3 1 92 #1? 4 1 96 #1? 5 1 92 #1? 6 2 76 #1? 7 2 BO #1? 8 2 75 #1? 9 2 B4 #1? 10 2 B2 #1? 11 3 108 #1? 12 3 100 #1? 13 3 96 #1? 14 3 QB #1? 15 3 100 aggregate (datbattery $Life , list (dat'battery $Brand ) , mean ) #1? Group . 1 x #1? 1 1 95.2 #1? 2 2 79.4 #1? 3 3 100.4 aov_battery