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Point estimate Confidence interval HB -JA: 17.80 , L 14.77 20.83 NC -JA: 7.00 , [ 3.97 10.03 ] UC -UB: (10.03) X , [ (13.83) (7.77) ] Bottle design B V maximizes sales. (c) Find a 95 percent confidence interval for each of the treatment means uA, MB, and uc. Interpret these intervals. (Round your answers to 2 decimal places. Negative amounts should be indicated by a minus sign.) Confidence interval MA: [ 14.05 17.55 UB: [ 31.85 35.35 MC: [ 21.05 24.55A 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. 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 17 35 25 13 33 23 18 33 20 16 33 25 15 34 21 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 79 15.8 3.7 Design B 5 168 33.6 .8 Design C 5 114 22.8 5.2 ANOVA Source of Variation SS df MS F P-Value F crit Between Groups 804.1333 2 402.0667 124.35 9.51E09 3.88529 Within Groups 38.8 12.0 3.2330 Total 842.9333 14 (a) Test the null hypothesis that My, #3, and [1c 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.) Reject 0 H0: bottle design have an impact on sales. (b) Consider the pairwise differences #3 MA, 'uc #A , and ,uc #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.)