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 Mid-Size 32.0 29.1 20.3 30.8 27.7 18.1 19.7 18.9 19.9 27.7 Full-Size 27.0 27.2 20.9 31.4 31.7 SUV 22.2 19.1 21.1 18.4 31.7 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. Note: Round your SS values to 3 decimal places, Fvalues to 2 decimal places, and other answers to 4 decimal places. Two-Factor ANOVA Source ss df MS F p-value Treatments (Fuel Type) Blocks (Vehicle Size) Error Total Group 87 Octane 89 Octane 91 Octane Ethanol 5% Ethanol 10% Compact Mid-Size Full-Size SUV Total Mean n Standard Deviation

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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
Mid-Size
32.0
29.1
20.3
30.8
27.7
18.1
19.7
18.9
19.9
27.7
Full-Size
27.0
27.2
20.9
31.4
31.7
SUV
22.2
19.1
21.1
18.4
31.7
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.
Note: Round your SS values to 3 decimal places, Fvalues to 2 decimal places, and other answers to 4 decimal places.
Two-Factor ANOVA
Source
ss
df
MS
F
p-value
Treatments (Fuel Type)
Blocks (Vehicle Size)
Error
Total
Group
87 Octane
89 Octane
91 Octane
Ethanol 5%
Ethanol 10%
Compact
Mid-Size
Full-Size
SUV
Total
Mean
n
Standard
Deviation
Transcribed Image Text: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 Mid-Size 32.0 29.1 20.3 30.8 27.7 18.1 19.7 18.9 19.9 27.7 Full-Size 27.0 27.2 20.9 31.4 31.7 SUV 22.2 19.1 21.1 18.4 31.7 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. Note: Round your SS values to 3 decimal places, Fvalues to 2 decimal places, and other answers to 4 decimal places. Two-Factor ANOVA Source ss df MS F p-value Treatments (Fuel Type) Blocks (Vehicle Size) Error Total Group 87 Octane 89 Octane 91 Octane Ethanol 5% Ethanol 10% Compact Mid-Size Full-Size SUV Total Mean n Standard Deviation
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