A manufacturing firm wants to investigate the effects of 5 color additives on the setting time of a new concrete mix. Variations in the setting times can be expected from day-to-day changes in temperature and humidity and also from the different workers who prepare the test molds. To eliminate these extraneous sources of variation, a 5 x 5 Latin square design was used in which the letters A, B, C, D, and E represent the 5 additives. The setting times in hours for the 25 molds are shown in the following table. At the 0.05 level of significance, can we say that the color additives have any effect on the setting time of the concretemix?

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Dav Worker 3 D: 10.7 E: 10.3 B: 11.2 A: 10.9 C: 10.5 E:11.3 C:10.5 D:12.0 B:11.5 A: 10.3 B: 14.1 A: 11.6 E: 11.0 C: 11.7 C: 14.5 D:11.5 A: 11.5 E: 12.7 B: 10.9