[The following information applies to the questions displayed below.] Engineers
ID: 3202756 • Letter: #
Question
[The following information applies to the questions displayed below.]
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?
rev: 01_12_2012
1.
value:
4.00 points
Required information
rev: 03-04-2011
Fuel type is the treatment and vehicle size is the blocking factor.
Fuel type is the blocking factor and vehicle size is the treatment.
eBook & Resources
Two-Factor Anova Without Replication (Randomized Block Model)
Previous attempt
2.
value:
4.00 points
Required information
rev: 12_08_2011
eBook & Resources
Two-Factor Anova Without Replication (Randomized Block Model)
Previous attempt
3.
value:
4.00 points
Required information
rev: 01_12_2012
Fuel type means differ significantly but vehicle size is not a significant factor.
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.
Fuel type means do not differ significantly and vehicle size is not a significant factor.
eBook & Resources
Two-Factor Anova Without Replication (Randomized Block Model)
Previous attempt
4.
value:
4.00 points
Required information
rev: 03-04-2011
87 Octane and 91 Octane.
Ethanol 10% and 91 Octane.
Ethanol 10% and 87 Octane.
Ethanol 5% and 91 Octane.
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?
Explanation / Answer
1. Correct Statement : Fuel type is the treatment and vehicle size is the blocking factor.
2.
Two-way ANOVA: Miles versus Fuel Type, Vehicle Size
Source DF SS MS F P
Fuel Type 4 230.398 57.5995 4.27 0.022
Vehicle Size 3 235.404 78.4680 5.81 0.011
Error 12 162.006 13.5005
Total 19 627.808
Descriptive Statistics: Miles
Total
Variable Fuel Type Count Mean StDev
Miles 87 Octane 4 23.93 6.40
89 Octane 4 24.83 6.24
91 Octane 4 19.38 2.64
Ethanol 10% 4 29.975 1.372
Ethanol 5% 4 25.60 6.61
Descriptive Statistics: Miles
Total
Variable Vehicle Size Count Mean StDev
Miles Compact 5 29.02 3.99
Full-Size 5 26.56 6.22
Mid-Size 5 19.84 4.72
SUV 5 23.54 4.60
3. Correct answer: Fuel type means differ significantly and vehicle size is also a significant factor.
Since
The p-value of fuel type is 0.022 < alpha 0.05, we reject H0f
The p-value of vehicle type is 0.011 < alpha 0.05, we reject H0v.
4. Correct Answer: Ethanol 10% and 91 Octane.
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