Chapter 8, Problem 8.7P

$\boxed{GER}$ 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. (HINT: 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?

Sample 1 (Retirement Community)	Sample 2 (Age-Integrated Neighborhood)
${\bar{X}}_1=1.42$	${\bar{X}}_2=1.58$
$s_1=0.10$	$s_2=0.78$
$N_1=43$	$N_2=37$

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?

Sample 1 (Retirement Community)	Sample 2 (Age-Integrated Neighborhood)
${\bar{X}}_1=7.43$	${\bar{X}}_2=5.50$
$s_1=0.75$	$s_2=0.25$
$N_1=43$	$N_2=37$