The Interpersonal Reactivity Index is a survey designed to assess four different types of empathy. One type of empathy, called Empathetic Concern, measures the tendenc to feel sympathy and compassion for people who are less fortunate. The index range: 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. Males 13 20 14 16 13 26 21 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=0.03. (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
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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.
Males
13
20
14
16
13
26
21
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=0.03.
(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. Males 13 20 14 16 13 26 21 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=0.03. (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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