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. Specically. 1S 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. 2 The data obtained are displayed in the following table. points Bottle Design Study Data A B c 16 33 23 18 31 27 19 37 21 17 29 2s 13 34 25 The Excel output ofa oneway ANOVA of the Bottle Design Study Data is shown below. SLIVMARY Groups Count Sun Average Variance Design A 5 83 16.6 5.3 Design 8 5 164 32.8 9.2 Design C 5 124 24.8 8.2 AMVA Source of Variation SS df "S F PValue F crit Between Groups 656.1333 2 328.3667 43.35683 3.23E-BB 3.88529 Within Groups 90.8 12 7.565667 Total 746.9333 14 Click here for the Excel Data File (a) Test the null hypothesis that M, :13, and \"C 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 answer to 2 decimal places.) 9 Answer is complete but not entirely correct. = 55,34 9 prvalue : 0.000 0 Reject O HO: bottle deSign does 0 have an impact on sales. 2 (b) Consider the pairwise differences #3 \"A, pc FA , and pic p3. Find a point estimate ofand a Tukeyl simultaneous 95 percent points 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.) a Answer is complete but not entirely correct. Point estimate Condence interval uB , uA: 16.40 9 l 12.29 8 , 20.51 6 ] uCLlAi 1409 i 3.299 , 11519 ] uCLIB: (9.00m '1 (13.100 , (4.3919 1 0 Answer is complete and correct. Bottle design I B a 'maximizes sales. (c) Find a 95 percent condence interval for each of the treatment means \"A, 1:13, and yc. [Round your answers to 2decimal places. Negative amounts should be indicated by a minus sign.) 9 Answer is complete but not entirely correct. Condence interval FA 14.230 , 13.979 ] F5 30620, 35379] F0 21.630 , 26 379 ]