Question: A researcher uses a matched samples design to investigate whether single people who own pets are happier than singles without pets. A mood inventory questionnaire is administered to a group of 20 to 29 year old non pet owners and a similar age group of pet owners. The pet owners are matched one to one with non pet owners for income, number of close friendships, and general health, The data set are as follows:

Matched Pair Non pet owners pet owner

A 10 15

B 9 9

C 11 10

D 11 19

E 5 17

F 9 15

Is there a significant difference in the mood scores for non pet owners versus pet owners? Test with a = .05 for two tails.