Engineers are testing company fleet vehicie 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? 91 Octane 20.3 Ethanol 5% 30.8 19.9 87 Octane Ethanol 18% 89 Octane 29.1 Соmpаct Mid-Size 32.0 27.7 18.1 19.7 18.9 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. O Fuel type is the treastment 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 Source df p-value Treatments (Fuel Type) Blocks (Vehicle Size) Error Total Group Mean Std. Dev 87 Octane 89 Octane 91 Octane Ethanol 5% Ethanol 18% Cопраct Mid-Size Full-Size SUV Total (e) Choose the correct statement. Use a= 0.05. O Fuel type means differ significantly and vehicle size is also a significant factor. • Fuel type means do not differ significantly, but vehicle size is a significant factor. O Fuel type means differ significantly, but vehicle size is not a significant factor. O Fuel type means do not differ significantly and vehicle size is not a significant factor.

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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 18%
32.0
30.8
27.7
Соmpact
Mid-Size
29.1
20.3
18.1
19.7
18.9
19.9
27.7
Full-Size
27.8
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.
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 declmal places, Fvalues to 2 declmal places, and other answers to 4 declmal
places.)
Two-Factor ANOVA
Source
df
MS
p-value
Treatments (Fuel Type)
Blocks (Vehicle Size)
Error
Total
Group
Mean
Std. Dev
自自自
87 Octane
89 Octane
91 Octane
Ethanol 5%
Ethanol 10%
Compact
Mid-Size
Full-Size
SUV
Total
(c) Choose the correct statement. Use a = 0.05.
Fuel type means differ significantly and vehicle size is also a significant factor.
Fuel type means do not differ significantly, but vehicle size is a significant factor.
O Fuel type means differ significantly, but vehicle size is not a significant factor.
O Fuel type means do not differ significantly and vehicle size is not a significant factor.
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 18% 32.0 30.8 27.7 Соmpact Mid-Size 29.1 20.3 18.1 19.7 18.9 19.9 27.7 Full-Size 27.8 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. 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 declmal places, Fvalues to 2 declmal places, and other answers to 4 declmal places.) Two-Factor ANOVA Source df MS p-value Treatments (Fuel Type) Blocks (Vehicle Size) Error Total Group Mean Std. Dev 自自自 87 Octane 89 Octane 91 Octane Ethanol 5% Ethanol 10% Compact Mid-Size Full-Size SUV Total (c) Choose the correct statement. Use a = 0.05. Fuel type means differ significantly and vehicle size is also a significant factor. Fuel type means do not differ significantly, but vehicle size is a significant factor. O Fuel type means differ significantly, but vehicle size is not a significant factor. O Fuel type means do not differ significantly and vehicle size is not a significant factor.
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