A consumer preference study compares the effects of three different bottle designs (A, B, and C) on sales ofa popular fabric softener. A completely randomized design is employed. Specically, 15 supermarkets of equal sales potential are selected, and 5 of these supermarkets are randomly assigned to each bottle design. The number of bottles sold in 24 hours at each supermarket is recorded. The data obtained are displayed in the following table. Bottle Design study Data A B C 19 32 26 14 31 21 19 31 27 18 29 23 13 32 23 The Excel output of a one-way ANOVA of the Bottle Design Study Data is shown below. SUMMARY Groups Count Sum Average Variance Design A 5 83 16.6 8.3 Design B 5 155 31.0 1.5 Design C 5 120 24.0 6.0 ANOVA Source of Variation SS df MS F PValue F erit Between Groups 518.5333 2 259.2667 49.23 1.64E-06 3.88529 Within Groups 63.2 12.0 5.2670 Total 581.7333 14 (a) Test the null hypothesis that M, #3, and ,uc are equal by setting a = .05. Based on this test, can we conclude that bottle designs A, B, and C have different effects on mean daily sales? (Round your answers to 2 decimal places.) 0 Answer is complete and correct. = 49.23 0 pvalue = 0.000 o Reject 0 H0: bottle design does a have an impact on sales. (b) Consider the pairwise differences .143 MA, ,uc (\"A , and ac #3. Find a point estimate of and a Tukey simultaneous 95 percent confidence interval for each pairwise difference. Interpret the results in practical terms. Which bottle design maximizes mean daily sales? (Round your answers to 2 decimal places. Negative amounts should be indicated by a minus sign.) 0 Answer is complete and correct. Point estimate Condence interval 03 pA: 14.40 9 , [ 10.53 a , 18.2? o ] uC pA: 7.40 0 , [ 3.53 0 , 11.27 0 ] pC ps: (7.00) 0 , [ (10.37) 9 , (3.13) 0 1 0 Answer is camplete and correct. Bottle design B a maximizes sales. (c) Find a 95 percent condence interval for each ofthe treatment means M, 773, and ac. Interpret these intervals. {Round your answers to 2 decimal places. Negative amounts should be indicated by a minus sign.) 6 Answer is complete but not entirely correct. Condence interval pA: [ 13.02 Q , 20.13 0 pa: [ 29.43 9 , 32.52 0 pc: [ 20.96 9 , 27.04 0