An industrial engineer tests 4 different shop-floor layouts by having each of 6 work crews construct a subassembly and measuring the construction times (minutes) as follows:

Test at the 0.01 level of significance whether the 4 floor layouts produce different assembly times and whether some of the work crews are consistently faster in constructing this subassembly than the others.

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Layout 1 Layout 2 Layout 3 Layout 4 Crew A 48.2 53.1 51.2 58.6 Crew B 49.5 52.9 50.0 60.1 Crew C 50.7 56.8 49.9 62.4 Crew D 48.6 50.6 47.5 57.5 Crew E 47.1 51.8 49.1 55.3 Crew F 52.4 57.2 53.5 61.7