A consumer preference study involving three different bottle designs(A, B,andC)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 tablegives the number of bottles of each design sold in a 24-hour period at each supermarket. If we use these data,SST,SSB, andSSEcan be calculated to be586.1667,421.6667, and 1.8333, respectively.

Bottle Design, i

Supermarket, j

1. 2. 3. 4

A. 16. 14. 1. 6

B. 33. 30. 19. 23

C. 23. 21. 8. 12

(a&b)Test the null hypothesisH₀that no differences exist between the effects of the bottle designs andsupermarkets 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 "0" wherever required.)

Analysis of Variance for factors

Tukeyq_.05=4.34, MSE =.306, s =.553, b = 4

Source DF SS MS F P

Bottle______________ _______ _______ _______

Market______________ _______ _______ _______

Error______________ _______ _______ _______

Total_______ _______ _______ _______ _______