8.49 Social interaction of mental patients. The Community Mental Health Journal (Aug. 2000) presented the results of a survey of over 6,000 clients of the Department of Mental Health and Addiction Services (DMHÁS) in Connecticut. One of the many variables measured for each mental health patient was frequency of social interaction (on a 5-point scale, where 1 = very infrequently, 3 = occasionally, and 5 = very fre- quently). The 6,681 clients who were evaluated had a mean so- cial interaction score of 2.95 with a standard deviation of 1.10. a. Conduct a hypothesis test (at a = .01) to determine whether the true mean social interaction score of all Con- necticut mental health patients differs from 3. b. Examine the results of the study from a practical view, and then discuss why “statistical significance" does not always imply "practical significance." c. Because the variable of interest is measured on a 5-point scale, it is unlikely that the population of rat- ings will be normally distributed. Consequently, some analysts may perceive the test from part a to be invalid and search for alternative methods of analysis. Defend or refute this position.
8.49 Social interaction of mental patients. The Community Mental Health Journal (Aug. 2000) presented the results of a survey of over 6,000 clients of the Department of Mental Health and Addiction Services (DMHÁS) in Connecticut. One of the many variables measured for each mental health patient was frequency of social interaction (on a 5-point scale, where 1 = very infrequently, 3 = occasionally, and 5 = very fre- quently). The 6,681 clients who were evaluated had a mean so- cial interaction score of 2.95 with a standard deviation of 1.10. a. Conduct a hypothesis test (at a = .01) to determine whether the true mean social interaction score of all Con- necticut mental health patients differs from 3. b. Examine the results of the study from a practical view, and then discuss why “statistical significance" does not always imply "practical significance." c. Because the variable of interest is measured on a 5-point scale, it is unlikely that the population of rat- ings will be normally distributed. Consequently, some analysts may perceive the test from part a to be invalid and search for alternative methods of analysis. Defend or refute this position.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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Transcribed Image Text:8.49 Social interaction of mental patients. The Community Mental
Health Journal (Aug. 2000) presented the results of a survey
of over 6,000 clients of the Department of Mental Health
and Addiction Services (DMHÁS) in Connecticut. One of
the many variables measured for each mental health patient
was frequency of social interaction (on a 5-point scale, where
1 = very infrequently, 3 = occasionally, and 5 = very fre-
quently). The 6,681 clients who were evaluated had a mean so-
cial interaction score of 2.95 with a standard deviation of 1.10.
a. Conduct a hypothesis test (at a = .01) to determine
whether the true mean social interaction score of all Con-
necticut mental health patients differs from 3.
b. Examine the results of the study from a practical view,
and then discuss why “statistical significance" does not
always imply "practical significance."
c. Because the variable of interest is measured on a
5-point scale, it is unlikely that the population of rat-
ings will be normally distributed. Consequently, some
analysts may perceive the test from part a to be invalid
and search for alternative methods of analysis. Defend
or refute this position.
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