After performing 1 simulation as the first step in his significance test, Finn does 99 more. For each simulation, he randomly reorganizes the subjects into two groups, A and B, of size 10. In the simulations, group A always plays the role of the treatment group and group B 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. 304 28 26 24 22 18 16 14 12 8. Group A avg. - Group B avg. In the original experiment, the average for the treatment group was 7.7 higher than the average for the control group. In what percentage of simulations is the average for group A at least 7.7 higher than the average for group B? % Number of simulations [-11.2, -9.1) [-9.1, -7) [-7, -4.9) [-4.9, -2.8) (-2.8, -0.7) (-0.7, 1.4) [1.4, 3.5) [3.5, 5.6) [5.6, 7.7) [7.7, 9.8) [9.8, 11.9)

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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Question
After performing 1 simulation as the first step in
his significance test, Finn does 99 more. For
each simulation, he randomly reorganizes the
subjects into two groups, A and B, of size 10. In
the simulations, group A always plays the role of
the treatment group and group B 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
20
14
10
8.
Group A avg. - Group B avg.
In the original experiment, the average for the
treatment group was 7.7 higher than the
average for the control group.
In what percentage of simulations is the
average for group A at least 7.7 higher than
the average for group B?
Number of simulations
(-11.2, -9.1)
[-9.1, -7)
(-7, -4.9)
[-4.9, -2.8)
[-2.8, -0.7)
[-0.7, 1.4)
[1.4, 3.5)
[3.5, 5.6)
[5.6, 7.7)
[7.7, 9.8)
[9.8, 11.9)
Transcribed Image Text:After performing 1 simulation as the first step in his significance test, Finn does 99 more. For each simulation, he randomly reorganizes the subjects into two groups, A and B, of size 10. In the simulations, group A always plays the role of the treatment group and group B 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 20 14 10 8. Group A avg. - Group B avg. In the original experiment, the average for the treatment group was 7.7 higher than the average for the control group. In what percentage of simulations is the average for group A at least 7.7 higher than the average for group B? Number of simulations (-11.2, -9.1) [-9.1, -7) (-7, -4.9) [-4.9, -2.8) [-2.8, -0.7) [-0.7, 1.4) [1.4, 3.5) [3.5, 5.6) [5.6, 7.7) [7.7, 9.8) [9.8, 11.9)
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