If SSTr90 and MSE 12 what is the value for the overall F sta

If SSTr=90 and MSE= 12 what is the value for the overall F statistic for a single factor ANOVA analysis?

Solution

In an experiment to study automobile engine operating efficiency for five different brands of gasoline, mpg was measured over a controlled distance and speed for eight cars in each group. If SSTr=90 and MSE= 12 what is the value for the overall F statistic for a single factor ANOVA analysis?

dfTr=k-1=5-1=4

MSTr=SSTr/dfTr=90/4=22.5

F=MSTr/MSE=22.5/12=1.875