e following data, representing random samples of 11 males and 11
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
(less empathetic) to
(more empathetic). The following data, representing random samples of
males and
females, are consistent with results reported in psychological studies. Boxplots show that it is reasonable to assume that the populations are approximately normal. Can you conclude that the mean empathy score for men is less than the mean empathy score for women? Let
denote the mean empathy score for men. Use the
level and the
| Males | |||||||
|
12
|
16
|
13
|
26
|
21
|
23
|
8
|
15
|
|
18
|
25
|
15
|
| Females | |||||||
|
26
|
25
|
28
|
24
|
16
|
19
|
20
|
23
|
|
21
|
23
|
15
|
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