The Interpersonal Reactivity Index is a survey designed to assess four different types of empathy. One type of empathy, called Empathetic Concern, measures the tendency to feel sympathy and compassion for people who are less fortunate. The index ranges from 0 (less empathetic) to 28 (more empathetic). The following data, representing random samples of 8 males and 8 females, are consistent with results reported in psychological studies. Boxplots show that it is reasonable to assume that the populations are approximately normal and have equal variances. 13 20 12 16 13 26 21 23 Females 22 20 26 25 28 24 16 19 Males Can you conclude that there is a difference in mean empathy score between men and women? Use a=0.05. (1) Critical Values (Round off to 3 decimal places): (2) Test Statistic (Round off to 2 decimal places): (3) Conclusion: (Type 'Reject HO' or 'Fail to Reject HO')

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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The Interpersonal Reactivity Index is a survey designed
to assess four different types of empathy. One type of
empathy, called Empathetic Concern, measures the
tendency to feel sympathy and compassion for people
who are less fortunate. The index ranges from 0 (less
empathetic) to 28 (more empathetic). The following
data, representing random samples of 8 males and 8
females, are consistent with results reported in
psychological studies. Boxplots show that it is
reasonable to assume that the populations are
approximately normal and have equal variances.
13 20 12 16
12 16
13 26 21
Males
23
Females 22 20 26 25
28 24
16
19
Can you conclude that there is a difference in mean
empathy score between men and women? Use a=0.05.
(1) Critical Values (Round off to 3 decimal places):
(2) Test Statistic (Round off to 2 decimal places):
(3) Conclusion:
(Type 'Reject HO' or
'Fail to Reject HO')
Transcribed Image Text:The Interpersonal Reactivity Index is a survey designed to assess four different types of empathy. One type of empathy, called Empathetic Concern, measures the tendency to feel sympathy and compassion for people who are less fortunate. The index ranges from 0 (less empathetic) to 28 (more empathetic). The following data, representing random samples of 8 males and 8 females, are consistent with results reported in psychological studies. Boxplots show that it is reasonable to assume that the populations are approximately normal and have equal variances. 13 20 12 16 12 16 13 26 21 Males 23 Females 22 20 26 25 28 24 16 19 Can you conclude that there is a difference in mean empathy score between men and women? Use a=0.05. (1) Critical Values (Round off to 3 decimal places): (2) Test Statistic (Round off to 2 decimal places): (3) Conclusion: (Type 'Reject HO' or 'Fail to Reject HO')
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