The Essentials of Statistics: A Tool for Social Research
The Essentials of Statistics: A Tool for Social Research
4th Edition
ISBN: 9781305802698
Author: Joseph F. Healey
Publisher: Cengage Learning US
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Chapter 8, Problem 8.7P

G E R 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)
X ¯ 1 = 1.42 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)
X ¯ 1 = 7.43 X ¯ 2 = 5.50
s 1 = 0.75 s 2 = 0.25
N 1 = 43 N 2 = 37
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