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A consumer preference study compares the effects of three different bottle designs (A Band 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 A B 19 34 26 18 33 24 14 35 23 17 3e 21 14 31 27 ASCO The Excel output of a one-way ANOVA of the Bottle Design Study Data is shown below SUMMARY Groups Design A Design Design Count 5 5 5 Sum 82 163 Average Variance 16.4 5. 32.6 4.3 24.2 5.7 ANOVA Source of Variation Between Groups Within Groups Total SS 656.4000 61.2 717.6000 df 2 12.0 14 MS 328.2000 5.1000 64.35 P.Value 3.85E-7 F crit 3.88529 (a) Test the null hypothesis that was us, and wc are equal by setting a = -05. Based on this test can we conclude that bottle designs . A, B, and have different effects on mean daily sales? (Round your answers to 2 decimal places.) FE p.value 10.000 HO bottle design Reject does have an impact on sales (b) Consider the pairwise differences H8 - HA. HE WA, and wc - wg. 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 meandaly sales? (Round your answers to 2 decimal places. Negative amounts should be indicated by a minus sign.) Point estimate Confidence interval UB-UA CA UC-UB (c) Find a 95 percent confidence interval for each of the treatment means Ha. Ho and He Interpret these intervals (Round your answers to 2 decimal places. Negative amounts should be indicated by a minus sign.) Confidence interval THAI UB pc