Problem 1. A consumer organization studied the effect of age of automobile owner on size of cash offer for a used car by utilizing 12 persons in each of three age groups (young, middle, elderly) who acted as the owner of a used car. A medium price, six-year-old car was selected for the experiment, and the "owners solicited cash offers for this car from 36 dealers selected at random from the dealers in the region. Randomization was used in assigning the dealers to the "owners". The offers (in hundred dollars) follow. Assume that ANOVA model Yij = pi + Eij is applicable. i i 1 2 3 4 5 6 7 8 9 10 11 12 1 2 3 Young Middle Elderly 23 28 23 25 27 20 21 27 25 22 29 21 21 26 22 22 29 23 20 27 21 23 30 20 19 28 19 22 27 20 19 26 22 21 29 21 a. Estimate the contrast L = (uz - H2) (uz Mi) with a 99 percent confidence interval. Interpret your interval estimate. b. Estimate the following comparisons with a 90 percent family confidence coefficient; employ the most efficient multiple comparison procedure: D3 = M3 - Mi D1 = M2 - Mi D2 = M3 - M2 Interpret your results. Problem 1. A consumer organization studied the effect of age of automobile owner on size of cash offer for a used car by utilizing 12 persons in each of three age groups (young, middle, elderly) who acted as the owner of a used car. A medium price, six-year-old car was selected for the experiment, and the "owners solicited cash offers for this car from 36 dealers selected at random from the dealers in the region. Randomization was used in assigning the dealers to the "owners". The offers (in hundred dollars) follow. Assume that ANOVA model Yij = pi + Eij is applicable. i i 1 2 3 4 5 6 7 8 9 10 11 12 1 2 3 Young Middle Elderly 23 28 23 25 27 20 21 27 25 22 29 21 21 26 22 22 29 23 20 27 21 23 30 20 19 28 19 22 27 20 19 26 22 21 29 21 a. Estimate the contrast L = (uz - H2) (uz Mi) with a 99 percent confidence interval. Interpret your interval estimate. b. Estimate the following comparisons with a 90 percent family confidence coefficient; employ the most efficient multiple comparison procedure: D3 = M3 - Mi D1 = M2 - Mi D2 = M3 - M2 Interpret your results