A consumer preference study compares the effects of three different bottle designs (A, 8, and C) on sales of a popular fabric softener. A completely randomized design is employed. Specifically, 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 B 16 35 26 19 33 20 16 35 25 18 33 21 16 30 26 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 85 17.8 2.0 Design B 166 33.2 4.2 un Design C 118 23.6 8. 3 ANOVA Source of Variation of MS F P-Value F crit Between Groups 663. 6090 2 331.8909 68.65 2.70E-87 3. 88529 Within Groups 58.9 12.8 4.8339 Total 721. 6098 14 (a) Test the null hypothesis that MA, My, and up are equal by setting of = .05. Based on this test, can we conclude that bottle designs A, B, and C have different effects on mean dally sales? (Round your answers to 2 decimal places.) F = p-value = HO: bottle design have an impact on sales.(b) Consider the pairwise differences up - HA, Mc - HA , and Me - pg. 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 dally sales? (Round your answers to 2 decimal places. Negative amounts should be Indicated by a minus sign.) Point estimate Confidence interval HB -JA: UC -JA: UC -JB: [ Bottle design maximizes sales