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Problem 14. Completely randomized design In a completely randomized experimental design, 11 experimental units were used for each of the 3 treatments. Part of the

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Problem 14. Completely randomized design In a completely randomized experimental design, 11 experimental units were used for each of the 3 treatments. Part of the ANOVA table is shown below. Source of Sum Degrees Mean Variation of Squares of Freedom Squares F Between Treatments 1,500 ? ? ? Within ? ? ? Treatments (Error) Total 6,000 Between Treatments 1,500 2 750 5 Within Treatments (Error) 4500 30 150 6,000 Problem 15.Method 3(Why? One variable, no list of proportions) In order to compare the life expectancies of three different brands of tires, ten tires of each brand were randomly selected and were subjected to standard wear testing procedures. Information regarding the three brands is shown below. Brand A Brand B Brand (3 Average mileage (in 1000 miles) 37 38 33 Sample variance 3 4 2 Use the above data and test to see if the mean mileage for all three brands of tires is the same. Let or = 0.05. Use both the critical value and pValue approaches. SSTR = 140 MSTR = 70 SSE = 81 MSE = 3 F = 23.33; pvalue is less than 0.005 (almost zero); reject H0 (critical F = 3.35)

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