The proposed projects have the potential uniform annual benefits

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A researcher uses a matched-samples design to investigate whether single people who own pets are generally happier than single people 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 the non-pet owners for income, number of close friendships and general health. The data are as follows. Calculate and report below the value of the appropriate test statistic to determine if there is evidence for this researcher's hypothesis. 

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