In the original experiment, the average for the treatment group was 0.8 higher than the average for the control group. Based on the 100 simulations, are the results of the experiment significant at the 5% level?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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Caden then performs a significance test.
First, he performs 100 simulations. For each
simulation, he randomly reorganizes the
subjects into two groups, A and B, of size 10. In
the simulations, group A plays the role of the
treatment group and group B plays the role of
the control group.
After each simulation, he subtracts the average
for group B from the average for group A. The
distribution of the differences for all 100
simulations is shown in the histogram.
30
28
26
24
22
12
10
6.
2
Group A avg. - Group B avg.
In the original experiment, the average for the
treatment group was 0.8 higher than the
average for the control group.
Based on the 100 simulations, are the results of
the experiment significant at the 5% level?
yes
no
Number of simulations
[-2.7, -2.2)
[-2.2, -1.7)
[-1.7, -1.2)
[-1.2, -0.7)
[-0.7, -0.2)
[-0.2, 0.3)
[0.3, 0.8)
[0.8, 1.3)
[1.3, 1.8)
[1.8, 2.3)
[2.3, 2.8)
Transcribed Image Text:Caden then performs a significance test. First, he performs 100 simulations. For each simulation, he randomly reorganizes the subjects into two groups, A and B, of size 10. In the simulations, group A plays the role of the treatment group and group B plays the role of the control group. After each simulation, he subtracts the average for group B from the average for group A. The distribution of the differences for all 100 simulations is shown in the histogram. 30 28 26 24 22 12 10 6. 2 Group A avg. - Group B avg. In the original experiment, the average for the treatment group was 0.8 higher than the average for the control group. Based on the 100 simulations, are the results of the experiment significant at the 5% level? yes no Number of simulations [-2.7, -2.2) [-2.2, -1.7) [-1.7, -1.2) [-1.2, -0.7) [-0.7, -0.2) [-0.2, 0.3) [0.3, 0.8) [0.8, 1.3) [1.3, 1.8) [1.8, 2.3) [2.3, 2.8)
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