A dairy farmer is looking at methods for transporting milk from her farm to a dairy plant. Three different methods are trialed over fourteen working days, and the daily costs of the methods (in $ 100) were as follows: Method 1 7.42 6.76 5.25 5.11 Method 2 7.46 6.45 7.46 5.82 7.13 Method 3 10.30 9.97 7.92 9.76 9.39 Box plots displaying the data are shown below: Daily Cost of Milk Transportation by Three Delivery Metho 9 0 Cost in 100s of Dollars 1 2 3 Delivery MethodPart a) TRUE or FALSE: If applying the analysis of variance (ANOVA) to these data, we must assume... i) The sample mean costs for the three methods are equal 0 A. True 0 B. False ii) The daily costs from each method are from a Normal distribution 0 A. True 0 B. False iii) The daily costs for each method are independent. 0 A. True 0 B. False iv) The sample standard deviations of the costs for each method are equal. 0 A. True 0 B. False v) The daily costs for the different methods are independent. 0 A. True 0 B. False Part b) A table summarizing the data is given below. Provide the missing standard deviation (to three decimal places): Method Sample size Mean Standard deviation 4 6.135 2 5 6.864 0.715 3 5 9.468 0.926 Part c) Complete the ANOVA table below, giving answers to three decimal places (please keep at least 6 decimal places in all intermediate steps and use the non-rounded values for all calculations): Source of Variation df Sum of Squares Mean Squares F-ratio Treatment 2 28.738 Error 11 Total 13 38.088