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 n a 24-hour period at each supermarket. If we use these data, SST, SSB, and SS can be calculated to be586.1667,421.6667, and 1.8333, respectively.

Results of a Bottle Design Experiment

Supermarket, jBottle Design, i1234A161416B33301923C2321812

(a&b)

Test the null hypotheses H0 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 factors

Turkey q.05 = 4.34, MSE = .306, s = .553, b = 4

Source DF SS MS F P

Bottle __ __ ___ ______

Market __ __ ___ ______

Error __ __ ___ ______

Total __ __ ___ ______

c.Use Turkey 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.