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% Ethanol 10% Compact 27.2 30.0 30.3 26.8 25.8 Mid-Size 23.0 25.6 28.6 26.6 23.3 Full-Size 21.4 22.5 22.2 18.9 20.8 SUV 18.7 24.1 22.1 18.7 17.4 Click here for the Excel Data File (a) Choose the correct statement. Fuel type is the blocking factor and vehicle size is the treatment. O 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.) Answer is complete and correct. Two-Factor ANOVA Source SS df MS F p-value Treatments (Fuel Type) 54.065 13.5162 6.94 0.0040 Blocks (Vehicle Size) 201.612 67.2040 34.52 0.0000 Error 23.363 12 1.9469 Total 279.040 19x Answer is complete but not entirely correct. Group Mean n Standard Deviation 87 Octane 22.5750 3.5575 89 Octane 25.5500 3.2254 91 Octane 25.8000 4.2716 Ethanol 5% 22.7500 4.5625 Ethanol 10% 21.8250 3.5874 Compact 28.0200 5 2.0130 Mid-Size 25.4200 5 0 2.3392 Full-Size 21.1600 1.4293 SUV 20.2000 5 0 2.7911 Total 23.7000 20 27.7770 X (c) Choose the correct statement. Use a = 0.05. O Fuel type means differ significantly and vehicle size is also a significant factor. O Fuel type means do not differ significantly, but vehicle size is a significant factor. Fuel type means differ significantly, but vehicle size is not a significant factor. Fuel type means do not differ significantly and vehicle size is not a significant factor.(d) Which fuel types show a significant difference in average fuel economy? Use a = 0.05. (You may select more than one answer. Click the box with a check mark for the correct answer and click to empty the box for the wrong answer.) Ethanol 5% and 89 Octane Ethanol 10% and 89 Octane Ethanol 10% and 91 Octane 87 Octane and 91 Octane Ethanol 5% and 91 Octane Ethanol 10% and 87 Octane