Problem 1. Cash offers (Same Problem from Homework k 2). 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 Yo = p, + 6,, is applicable. 1 2 3 4 5 6 7 8 9 10 11 12 Young 23 25 21 22 21 22 20 23 19 22 19 21 Middle 28 27 27 29 26 29 27 30 28 27 26 29 W N - 21 Elderly 23 20 25 21 22 23 21 20 19 20 22 a. Examine whether the treatment error variances are equal using Bartlett's test with o = 0.05. State the hypothesis and decision rule, and conclusion. What is the p-value of the test? b. Would you reach the same conclusion as in part (a) with the Brown-Forsythe test ("hovtest=bf" in SAS)? Problem 2. In a two-factor study, the treatment means , are as follows: Factor B Factor A B1 BZ B3 A1 34 23 36 Az 40 29 42 a. Obtain the factor A level means. b. Obtain the main effects of factor A