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 15 13 18 16 19 The Excel output of a one-way ANOVA of the Bottle Design Study Data is shown below. SUMMARY Groups Design Design Design A B C B 32 30 33 30 32 Count 5 5 5 C 26 28 21 23 26 Sum Average Variance 81 157 124 16.2 31.4 24.8 5.7 1.8 7.7 AN OVA Source of Variation SS df MS F PValue F crit Between Groups 580.9333 2 290.4667 57.33 7.23E-07 3.88529 Within Groups 60.8 12.0 5.0670 Total 641.7333 14 (a) Test the null hypothesis that Mg, #3, and ya 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. p-value = 0.000 a Reject 0 H0: bottle design does a lhave an impact on sales. (b) Consider the pairwise differences us - MA, UC - MA, and uc - MB. 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.) X Answer is complete but not entirely correct. Point estimate Confidence interval UB -UA: 0. 12 X [ 0.45 X 0.04 X NC -HA: 0.32 X 0.82 X 0.34 X UC -UB: 0.44 X 0.48 X 1.34 L(c) Find a 95 percent confidence interval for each of the treatment means [114, p3, and pic. Interpret these intervals. (Round your answers to 2 decimal places. Negative amounts should be indicated by a minus sign.) Q Answer is complete but not entirely correct. Condence interval HA2 [