In the original experiment, the average for the treatment group was 0.6 higher than the average for the control group. In what percentage of simulations is the average for group A at least 0.6 higher than the average for group B?
In the original experiment, the average for the treatment group was 0.6 higher than the average for the control group. In what percentage of simulations is the average for group A at least 0.6 higher than the average for group B?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
After performing 1 simulation as the first step in his significance test, Deion does 99 more. For each simulation, he randomly reorganizes the subjects into two groups, A and B, of size 25. 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.
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Group A avg.
–
Group B avg.
Number of simulations
In the original experiment, the average for the treatment group was 0.6 higher than the average for the control group.
In what percentage of simulations is the average for group A at least 0.6 higher than the average for group B?
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