A consumer preference study compares the effects of threedifferent bottle designs (A, B, and C) on sales of a popular fabricsoftener. A completely randomized design is employed. Specifically,15 supermarkets of equal sales potential are selected, and 5 ofthese supermarkets are randomly assigned to each bottle design. Thenumber of bottles sold in 24 hours at each supermarket is recorded.The data obtained are displayed in the following table. BottleDesign Study Data A B C 14 31 24 17 32 25 13 29 28 14 30 27 15 3428 The Excel output of a one-way ANOVA of the Bottle Design StudyData is shown below. SUMMARY Groups Count Sum Average VarianceDesign A 5 73 14.6 2.3 Design B 5 156 31.2 3.7 Design C 5 132 26.43.3 ANOVA Source of Variation SS df MS F P-Value F crit BetweenGroups 729.7333 2 364.8667 117.70 3.23E-06 3.88529 Within Groups37.2 12.0 3.1000 Total 766.9333 14 (a) Test the null hypothesisthat μA, μB, and μC are equal by setting α = .05. Based on thistest, can we conclude that bottle designs A, B, and C havedifferent effects on mean daily sales? (Round your answers to 2decimal places. Leave no cells blank - be certain to enter \"0\"wherever required.) F 117.70 p-value 0.00 H0: bottle design have animpact on sales. (b) Consider the pairwise differences μB – μA, μC– μA , and μC – μB. Find a point estimate of and a Tukeysimultaneous 95 percent confidence interval for each pairwisedifference. Interpret the results in practical terms. Which bottledesign maximizes mean daily sales? (Round your answers to 2 decimalplaces. Negative amounts should be indicated by a minus sign.)Point estimate Confidence interval μB –μA: 16.60 , [ 13.63 , 19.57] μC –μA: 11.80 , [ 8.83 , 14.77 ] μC –μB: -4.80 , [ -7.77 , -1.83] Bottle design maximizes sales. (c) Find a 95 percent confidenceinterval for each of the treatment means μA, μB, and μC. Interpretthese intervals. (Round your answers to 2 decimal places. Negativeamounts should be indicated by a minus sign.) Confidence intervalμA: [ 13.12 , 16.08 ] μB: [ 29.32 , 33.08 ] μC: [ 24.63 , 28.17].