Conduct an ANOVA test on the new motorcycle being developed to meet new gas mileage standards recently passed by the federal government. An engineer tested three model designs by randomly assigning the motorcycles in a blind study. The data in miles per gallon (MPG) for the three designs is listed below:
X1 B1 z1
45 55 54
62 55 52
50 54 41
65 44 35
62 52 38
50 69 41
50 58 51
58 45 44