Engineers are testing company fleet vehicle fuel economy (miles per gallon) perf

Question

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 91 Octane Mid-Size Full-Size SUV 30.8 17.0 28.9 21.9 28.4 19.9 29.0 22.8 17.7 20.1 20.4 19.5 Ethanol 5% 30.7 17.1 27.0 18.7 Ethanol 10% 31.1 31.4 31.3 29.6 Click here for the Excel Data File (a) Choose the correct statement. O Fuel type is the blocking factor and vehicle size is the treatment. Fuel type is the treatment and vehicle size is the blocking factor (b) Fill in the boxes. (Round your SS values to 3 decimal places, Fvalues to 2 decimal places, and other answers to 4 decimal places.) Two-Factor ANOVA MS Treatments (Vehicle Size) Blocks (Fuel Type) Error 145.417 12 12.1181 Total 584.9455 19 Std. Dev 87 Octane 89 Octane 91 Octane Ethanol 5% Ethanol 10% 24.65 25.025 19.425 23.375 30.85 Mid-Size Full-Size SUV 27.74 21.1 27.32 22.5 Total 24.665

Explanation / Answer

applying two way ANOVA on abvoe data:

b)

Source of Variation SS df MS F P-value treatments 169.506 3 56.5018 4.66 0.0221 blocks 270.023 4 67.5058 5.57 0.0090 Error 145.417 12 12.1181 Total 584.946 19

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