Are senior citizens who live in retirement communities more socially active than those who live in age-integrated communities? Write a sentence or two explaining the results of these tests. (Remember to use the proper formulas for small sample sizes.)

a. A random sample of senior citizens living in a retirement village reported that they had an average of 1.42 face-to-face interactions per day with their neighbors. A random sample of those living in age-integrated communities reported 1.58 interactions. Is the difference significant?

b. Senior citizens living in the retirement village reported that they had an average of 7.43 telephone calls with friends and relatives each week, while those in the age-integrated communities reported an average of 5.50 calls. Is the difference significant?

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Sample 1 (Retirement Community) Sample 2 (Age-Integrated Neighborhood) X, = 1.42 X2 = 1.58 S2 = 0.78 N = 37 S = 0.10 N = 43