A manufacturer of latex house paint (brand A) would like to show that their paint is more robust to the material being painted than their two closest competitors. The response is the time, in years, until chipping occurs. The study involves the three brands of paint and three randomly chosen materials. Two pieces of material are used for each combination.(a) What is this type of model called?(b) Analyze the data, using the appropriate model.(c) Did the manufacturer of brand A support its claim with thedata?

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Brand of Paint Material 5.50 5.15 | 4.75 4.60 | 5.10 5.20 5.60 5.55 5.40 5.48 5.50 5.60 5.05 4.95 4.50 4.55