A consumer preference study involving three different bottle designs (A, B, and

Question

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 Bottie Design, 14 30 21 16 19 23 23 (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 ? = 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"O" wherever required.) Analysis of Variance for factorl Tukey q 05 4.34, MSE306, S553, b 4 DF MS Market (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.) AB: I AC: [ ??: [ Bottle design (Click to select)maximizes sales

Explanation / Answer

General Linear Model: Response versus factor A, factor B

Method

Factor coding (-1, 0, +1)

Factor Information

Factor Type Levels Values
factor A Fixed 4 1, 2, 3, 4
factor B Fixed 4 1, 2, 3, 4

Analysis of Variance

Source DF Adj SS Adj MS F-Value P-Value
factor A 3 436.6 145.53 3.54 0.104
factor B 3 436.6 145.53 3.54 0.104
Error 5 205.4 41.08
Total 11 1024.9

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