Question

After performing 1 simulation as the first step in her significance test, Emma does 99 more. For each simulation, she 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, she 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.

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

Answer Choices:

A: 1
B: 5
C: 1.6
D: 2

Answer 1

Using the histogram, it is found that the percentage of simulations is the average for group A at least 1.6 higher than the average for group B is given by:

A: 1.

What is an histogram?

An histogram is a graph that shows the number of times each element of x was observed.

In this problem, the histogram shows that out of the 100 simulations, only 1 had a difference of at least 1.6, as the bin corresponding to [1.6, 2] has value of 1 and the bins to the right of this have values of 0.

Hence, the percentage is given by:

P = 1/100 x 100% = 1%.

Which means that option A is correct.

More can be learned about histograms at brainly.com/question/25836450