A consumer preference study compares the effects of three different bottle designs (A, B, 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 A B C 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 Coun Groups Sum AverageVariance t Design A 5 85 17.0 2.0 Design B 5 166 33.2 4.2 Design C 5 118 23.6 8.3 ANOVA Source of Variation SS df MS Between Groups 663.6000 2 331.8000 Within Groups Total 58.0 12.0 721.6000 14 4.8333 F P-Value F crit 3.23E68.65 3.88529 06 (a) Test the null hypothesis that A, B, and C are equal by setting = .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. Leave no cells blank - be certain to enter "0" wherever required.) F pvalue H0: bottle design (Click to select) have an impact on sales. (Click to select) (b) Consider the pairwise differences B - A, C - A , and C - B. 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.) Point estimate Confidence interval B -A: ,[ , C -A: ,[ , C -B: ,[ , Bottle design maximizes sales. (Click to select) (c) Find a 95 percent confidence interval for each of the treatment means A, B, and C. Interpret these intervals. (Round your answers to 2 decimal places. Negative amounts should be indicated by a minus sign.) Confidence interval A: [ , B: [ , C: [