Question

Among other benefits, pets are thought to be great companions that increase satisfaction among pet owners, especially those who would otherwise live alone. A psychologist decides to test this notion. Participants who live with others or alone (Factor A: living status) and own pets or do not (Factor B: pet owner status) were asked to indicate how satisfied they were with their living arrangements. It was expected that pet owners would report greater overall satisfaction than those who did not have pets. The hypothetical results are given in the following table.

		Pet Owner
		yes	no
Live Alone	yes	7, 6,7,6	3,4,5,5
	no	6,6,7,5	4,2,5,7

Hypotheses:

F_crit /threshold:

Source of Variation	SS	df	MS	Fobt
Factor A
Factor B
A X B
Error (within groups)
Total

Conclusion (reject or fail to reject):

Answer 1

From the given data

			Pet Owner
			Yes	No	Row Total	Ti^2/nRow
Live Alone	Yes	Mean	6.5	3.5
		Total	26	14	40	200
		SS	1	5
	No	Mean	6	4.5
		Total	24	18	42	220.5
		SS	2	13
		Col Total:	50	32	82	420.5
		T.j^2/nCol	312.5	128	440.5

ANOVA Table:

		SS	df	MSS	F-Ratio	F-crit
Ssbetween treatment		22.75	3	7.58333333
Ssrow	A	0.25	1	0.25	0.142857143	4.7472253
Sscol	B	20.25	1	20.25	11.57142857	4.7472253
Ssrow*col	A*B	2.25	1	2.25	1.285714286	4.7472253
Within treatment		21	12	1.75
Total :		43.75	15