A defense contractor is interested in studying an inspection process to detect failure or fatigue of transformer parts. Three levels of inspections are used by three randomly chosen inspectors. Five lots are used for each combination in the study. The factor levels are given in the data. The response is in failures per 1000 pieces.(a) Write an appropriate model, with assumptions.(b) Use analysis of variance to test the appropriate hypothesis for inspector, inspection level, andinteraction.

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Inspection Level Reduced Military Inspector Inspection Specification Commercial 7.08 6.17 Full Military 6.15 5.52 5.48 5.48 5.98 7.50 7.42 5.85 5.89 5.35 5.65 5.30 5.02 7.68 5.86 5.28 5.38 4.87 7.19 6.19 5.85 5.35 6.17 6.20 5.44 5.75 5.68 7.58 6.52 6.54 5.64 5.12 7.70 6.82 6.42 5.39 5.35 6.21 5.66 5.36 5.90 6.12 5.01