A researcher uses a matchedsubjects design to investigate whether single people with pets are happier than singles without pets. A mood inventory survey is given to a group of 20 to 29yearold nonpet owners and a similar age group of pet owners. The pet owners are matched one to one with the nonpet owners for income, number of close friendships, and general health. The data follow:
a. Is there a significant difference in the mood scores for nonpet owners versus pet owners? Test with
b Construct the 95% confidence interval to estimate the size of the mean difference in mood between the population of pet owners and the population of nonper owners, (You should find that a mean difference of
a.
Given info:
The given data are shown below,
Matched pair  Non pet owner  Pet owner 
A  12  14 
B  8  7 
C  10  13 
D  9  9 
E  7  13 
F  10  12 
Calculation:
The difference D,
Participants  White background  Red background 


A  12  14  2  4 
B  8  7  –1  1 
C  10  13  3  9 
D  9  9  0  0 
E  7  13  6  36 
F  10  12  2  4 
Total  12  54 
Thus, the values of
The mean difference
Thus, the mean difference
The value of SS is,
Thus, the value of
b.
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