Question

4. (24) A consumer organization studied the effect of age and gender of car owner on cash offer for a used car by utilizing 12 persons in each of the age group (age=1 for young, 2 for middle, and 3 for elderly). Among the 12 persons assigned in each age group, 6 are male (gender =1 for male, and 2 for female). There are a total of 36 participants in the experiment. One medium price, six-year-old car was selected for the experiment, and the subjects solicited cash offers for the same car from 36 dealers selected at random.

The following table summarizes the mean cash offer (unit: x100 dollars) in each condition.

Factor: gender	Factor: age
	1 (young)	2 (middle)	3 (elderly)
1   (male)	22.67	27.83	22.33
2 (female)	21.33	27.67	20.5

a) (4) Complete the following two way ANOVA table, the residual standard error is 1.55.

	DF	SS
Age	____	316.72
Gender	____	5.44
Age*Gender	____	5.06

e) (6) Find the 85% Bonferroni simultaneous confidence interval to compare the cash offer in

i. young female and young male subjects;

ii, middle age female and middle age male subjects, and

iii elder age female and elder age male subjects.

Answer 1

a.

	DF	SS
Age	3-1=2	316.72
Gender	2-1=1	5.44
Age*Gender	(3-1)(2-1)=2	5.06