It is of interest to determine whether there is any significant difference in mileage per gallon
between gasolines A, B, C, D and E. Design an experiment that uses five different drivers, five
different cars, and five different roads ($\alpha$, $\beta$, $\gamma$, $\delta$, $\epsilon$). The numbers of miles per gallon are as
given in the following table.
a) Construct the symbolic design matrix using letters.
b) Write all of the hypotheses.
c) Prepare the given data to obtain the results from MINITAB. Which steps do you follow
to obtain the numerical results in MINITAB?
d) Is there sufficient evidence that roads means are different?
e) Is there sufficient evidence that gasolines means are different?
f) Is there sufficient evidence that cars means are different?
g) Is there sufficient evidence that drivers means are different?
DRIVERS
15+N 16 14 18 47
17 15+N 17 16 17
CARS 16 14 15+N 18 15
13 16 15 15+N 18
16 15 56 18 15+N
