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BLOCKING AND LATIN SQUARE Compute and Interpret. Set your Ho and Ha. 1. Different chemicals are tested to check their effects to different cloth materials. The chemicals will be used in one of the finishing processes. Five cloth materials are selected for testing and four chemicals will be used on each cloth material sample. a) Are there significant differences between four different chemicals? (a = .05) b) Considering your answers in part a., perform the appropriate tests to determine which chemical differ significantly. Cloth Material Sample 1 2 3 4 1.3 1.6 0.5 1.2 N 2.2 2.4 0.4 2 Chemical Types 1.8 1.7 0.6 1.5 4 3.9 4.4 2 4.1 Ftable = 3.4903 Qtable= 4.2 2RDB Company produced four types of tires recently, Tires A, B, C, and D. Before this year ends, RDB would like to identify which type of tire will give the least amount of tire wear after 30,000 miles. The response variable is the difference in maximum tread thickness on a tire between the time it is mounted on the wheel of the car and after it has completed 30,000 miles. Four types of tires will be used to get an estimate of experiment error. In order to conduct this study, four cars, a BMW, a Ferrari, a Lamborghini, and a Mercedes Benz were selected to accommodate the 16 tires. The results for this design are given in the following table. Which tires of cars are significantly different? Use tukeys with BMW FERRARI LAMBORGHINI MERCEDES BENZ Left Front E- c=19 D=25 Right Front C=26 D=30 A=37 positions Left Rear C=17 D=40 A=27 Right Rear D=25 A=32 C=30 Fcrit=4.7571 o. = 0.05 q=4.9