The article "The Responsiveness of Food Sales to Shelf Space Requirements" (J. Marketing Research, 1964: 63-67) reports the use of a Latin square design to investigate the effect of shelf space on food sales. The experiment was carried out over a 6-week period using six different stores, resulting in the following data on sales of powdered coffee cream (with shelf space index in parentheses):

Construct the ANOVA table, and state and test at level .01 the hypothesis that shelf space does not affect sales against the appropriate alternative?

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Week 127 (5) 14(4) 18 (3) 234 (6) 31(5) 34 (4) 3 39 (2 67 (6) 31 (5) 440 (3) 57 (1) 39 (2) 515 (4) 15 (3) 11 (1) 6 16 (1) 15 (2) 14 (6) Store Week 6 135 (1) 28 (6) 22 (2) 246 (3) 37 (2) 23 (1) 3 49 (4) 38(1) 48 (3) Store 4 70 (6) 37 (4) 50 (5) 59 (2 18(5) 17 (6) 6 12 (5) 19 (3) 22 (4)