pathy: The Interpersonal Reactivity Index is a survey designed to assess four different types of empathy. One type of empathy, called Empathetic Concern, asures the tendency to feel sympathy and compassion for people who are less fortunate. The index ranges from 0 (less empathetic) to 28 (more empathetic). e following data, representing random samples of 12 males and 12 females, are consistent with results reported in psychological studies. Boxplots show that s reasonable to assume that the populations are approximately normal. Can you conclude that the mean empathy score for men is less than the mean npathy score for women? Let H, denote the mean empathy score for men. Use the a=0.10 level and the P.value method with the TI-84 Plus calculator. Males 16 13 26 21 23 8 15 18 25 15 23 17 Females 26 25 28 24 16 19 20 23 21 23 15 26 Send data to Excel ate the null and alternate hypotheses. O>D D-O test. The hypothesis test is a (Choose one) Compute the P-value. Round the answer to at least four decimal places. P-value = Part: 2/ 4 Part 3 of 4 Determine whether to reject H We (Choose one) the null hypothesis H, at the a=0.10 level. Part 4 of 4 State a conclusion. There (Choose one) - enough evidence to conclude that the mean empathy score of men is less than the mean empathy Score of women.

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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Empathy: 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 12 males and 12 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 H, denote the mean empathy score for men, Use the a=0,10 level and the P-value method with the TI-84 Plus calculator.
Males
16
13 26
21
23
8
15
18
25
15
23
17
Females
26
25
28
24
16
19
20
23
21
23
15
26
Send data to Excel
State the null and alternate hypotheses.
H:
D>D D=0
H:
The hypothesis test is a (Choose one) test.
Compute the P-value. Round the answer to at least four decimal places.
P-value =
Part: 2/ 4
Part 3 of 4
Determine whether to reject H.
We (Choose one) -
the null hypothesis H at the a=0.10 level.
Part 4 of 4
State a conclusion.
There (Choose one) enough evidence to conclude that the mean empathy score of men is less than the mean empathy
Score of women.
Transcribed Image Text:Empathy: 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 12 males and 12 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 H, denote the mean empathy score for men, Use the a=0,10 level and the P-value method with the TI-84 Plus calculator. Males 16 13 26 21 23 8 15 18 25 15 23 17 Females 26 25 28 24 16 19 20 23 21 23 15 26 Send data to Excel State the null and alternate hypotheses. H: D>D D=0 H: The hypothesis test is a (Choose one) test. Compute the P-value. Round the answer to at least four decimal places. P-value = Part: 2/ 4 Part 3 of 4 Determine whether to reject H. We (Choose one) - the null hypothesis H at the a=0.10 level. Part 4 of 4 State a conclusion. There (Choose one) enough evidence to conclude that the mean empathy score of men is less than the mean empathy Score of women.
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