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, she subtracts the average for group A from the average for group B. The distribution of the differences for all 100 simulations is shown in the histogram.

In the original experiment, the average for the treatment group was 1.6 lower than the average for the control group.
In what percentage of simulations is the average for group A at least 1.6 lower than the average for group B?

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 simulatio class=

Respuesta :

The percentage of simulations where the average for group A is at least 1.6 lower than the average for group B is 48%.

Data points where the average for group A is at least 1.6 less than B

The following are the data points from the histogram where the average of group A is at least 1.6 less than average of group B.

At least -1.6 lower implies -1.6, -1.5, -1.4, -1.3, -1.2, -1.1, 0, 1, etc.

  • the first point =  (-1.6 - 1.2) (number of simulation = 1)
  • second point = (-1.2, -0.8) (number of simulation = 8)
  • third point = (-0.8, -0.4) (number of simulation = 16)
  • fourth point = (-0.4, 0) (number of simulation = 23)

Outcome of simulations = 1 + 8 + 16 + 23 = 48

Percentage of simulation = outcome/total x 100%

Percentage of simulation =  (48 x 100%)/100

Percentage of simulation =  48%

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