MR Method

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A consumer preference study involving three different bottle designs (A, B, and C) for the jumbo size of a new liquid laundry detergent was carried out using a randomized block experimental design, with supermarkets as blocks. Specifically, four supermarkets were supplied with all three bottle designs, which were priced the same. The following table gives the number of bottles of each design sold in a 24-hour period at each supermarket. If we use these data, SST, SSB, and SSE can be calculated to be 586.1667, 421.6667, and 1.8333, respectively. Results of a Bottle Design Experiment Supermarket, j Bottle Design, i 1 2 4 A 16 14 1 6 33 30 19 23 23 21 12 (a&b) Test the null hypothesis Ho that no differences exist between the effects of the bottle designs and supermarkets on mean daily sales. Set a= .05. Can we conclude that the different bottle designs have different effects on mean sales? (Round F to 2 decimal places and SS, MS to 3 decimal places. Leave no cells blank - be certain to enter "0" wherever required.) Analysis of Variance for factorl Tukey 905 = 4.34, MSE = .306, s = .553, b = 4 Source DF SS MS F P Bottle Market Error Total (c) Use Tukey simultaneous 95 percent confidence intervals to make pairwise comparisons of the bottle design effects on mean daily sales. Which bottle design(s) maximize mean sales? (Round your answers 2 decimal places. Negative amounts should be indicated by a minus sign.)(c) Use Tukey simultaneous 95 percent confidence intervals to make pairwise comparisons of the bottle design effects on mean daily sales. Which bottle design(s) maximize mean sales? (Round your answers 2 decimal places. Negative amounts should be indicated by a minus sign.) A- B: A- C: B - C: Bottle design maximizes sales