The marketing department of a company has designed three different boxes (treatments) for its product. It wants to determine which box will produce the largest amount of sales. Each box will be test marketed in five different stores (blocks) for a period of a month. Below you are given the information sales. Store Box 1 Box 2 Box 3
1 210 195 295
2 230 170 275
3 190 200 290
4 180 190 275
5 190 193 265

Required:
a. Construct the ANOVA table.
b. Test at alpha = 0.01 to determine if there is a significant difference in the mean sales of the different boxes.
c. Are there any differneces in the mean sales at the stores? Test at alpha = 0.01.
d. Find the pair of differences in the mean sales for the boxes using the Tukey procedure and alpha = 0.01.