Engineers are testing company fleet vehicle fuel economy (miles per gallon) performance by using different types of fuel. One vehicle of each size is tested. Does this sample provide sufficient evidence to conclude that there is a significant difference in treatment means?

87 Octane 89 Octane 91 Octane Ethanol 5%

Compact 27.2 30.0 30.3 26.8

Mid size 23.0 25.6 28.6 26.6

Full size 21.4 22.5 22.2 18.9

SUV 18.7 24.1 22.1 18.7

b) Round your SS values to 3 decimal places, F values to 2 decimal places, and other answers to 4 decimal places.)

Source SS df MS F p-value

Treatments (Fuel type) ? ? ? ? ?

Blocks (vehicle size) ? ? ? ? ?

Error ? ? ? ? ?

Total ? ?

Group Mean n Standard deviation

87 Octane ? ? ?

89 Octane ? ? ?

91 Octane ? ? ?

Ethanol 5% ? ? ?

Ethanol 10% ? ? ?

Compact ? ? ?

Mid size ? ? ?

Full size ? ? ?

SUV ? ? ?

Total ? ? ?

Which fuel types show a significant difference in average fuel economy? Use a = 0.05.