A large advertising firm specializes in creating television commercials for children's products. The firm wants to design a study to investigate factors that may affect the length of time a commercial is able to hold a child's attention. A preliminary study determines that two factors that may be important are the age of the child and the type of product being advertised. The firm wants to determine whether there were large differences in the mean length of time that the commercial is able to hold the child's attention depending on these two factors.

Three age groups are used: A1: 5-6 years, A2: 7-8 years, A3: 9-10 years

The types of products selected are: P1: breakfast cereals, P2: video games

A group of 20 children is recruited in each age group and 10 are randomly assigned to watch a 60-second commercial for each of the two products. Researchers record their attention span during the viewing of the commercial. The data are given here.

	A1: 5-6 years	A2: 7-8 years	A3: 9-10 years
P1: Breakfast Cereals	19	19	37
	36	35	6
	40	22	28
	30	28	4
	4	1	32
	10	27	16
	30	27	8
	5	16	41
	34	3	29
	21	18	18
P2: Video Games	39	30	51
	18	47	52
	32	6	43
	22	27	48
	16	44	39
	2	26	33
	36	33	56
	43	48	43
	7	23	40
	16	21	51

1. Perform a complete Two-Factor Factorial Analysis.Perform all the necessary tests (including testing for treatment means, interaction and, if necessary, for main effects), and state the hypotheses and conclusions for all of them.

2. Perform any relevant comparison of means procedures.

3. Produce a profile plot of the mean attention span. Does this plot support your results?