The reasonable conclusion is that the randomization distribution provides strong evidence that the difference in the means for the two treatments group is due to the treatment because the difference is highly unlikely based on random assignment error.
<h3>How to explain the information?</h3>
Given the mean for the first group is 43.16 gallons of gas and that the mean for the second group 54.63 gallons of gas. The difference in the means for the two groups is - 11.47 gallons of gas.
Here, the data for both groups are combined and redistributed at random into two groups of 20. The histogram shows that the distribution is approximately symmetric. Therefore, the randomization technique can be used.
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For this case we have that by definition, the equation of the line of the slope-intersection form is given by:
Where:
m: It is the slope of the line
b: It is the cut-off point with the y axis
We have the following points through which the line passes:
So the slope is:
Thus, the equation of the line is of the form:
We substitute one of the points and find "b":
Finally, the equation is:
Answer: