A researcher conducts an ANOVA to see if 3 different levels of gas octane affect the number of miles per gallon a car achieves.The omnibus ANOVA was significant with MSerror= 40.39.The mean gas millage for each octane level is provided below.Conduct Tukey's post-test to determine which groups differed from one another by:1. stating all mean differences,2. computing the HSD, and 3. stating which groups differ based on your test.Set alpha at .05.(4 points)

X1(High Octane):

Mean = 32mpg; n = 21

X2(Moderate Octane):

Mean = 28mpg; n = 21

X3(Low Octane):

Mean = 25mpg; n=21