Problem 3 A consumer organization studied the effect of age of an automobile owner on size of cash offer for a used car by utilizing 1'2 persons in each of three age groups (young, middlel elderly] who acted as the owner of a used car; A medium price sixyearold car was selected for the experiment, and the 11owners11 solicited cash offers for this car from the 3H dealers in the city. Randomization was used in assigning the dealers to the "owners". The offers {in hundred of dollars} are shown In Table 3. Table 3: Data for Problem 4 Age 1 2 3 4 5 6 7 8 9 10 11 12 Young 1600 1700 1800 2000 1900 1500 1600 2000 1700 1800 1400 1900 2 Middle 2200 2700 2700 3400 1800 3600 3500 3000 2800 2700 2600 2900 3 Ederly 1500 3000 2900 2100 3200 2300 3600 2000 3900 3800 4000 5000 (a) Do all the age group have the same effect on cash offer? (b) Which, if any, of the assumptions are violated? (c) If, in (b), you found that one (or more) assumption was violated, find an appropriate transformation (within the Box-Cox family) using SAS and justify your choice. (d) Run the ANOVA again using the selected transformation in(c). Did the selected transformation improve the situation in terms of the assumptions