Engineers are testing company fleet vehicle fuel economy (miles per gallon) perf
ID: 3207675 • Letter: E
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 Octane 91 Octane Ethanol 5% Ethanol 10%
Compact 30.4 29.4 18.9 30.1 27.8
Mid-Size 17.0 19.3 17.8 17.0 31.9
Full-Size 27.7 28.3 21.4 29.7 31.1
SUV 23.5 21.4 18.4 19.6 28.7
Choose the correct statement.
1. Fuel type is the blocking factor and vehicle size is the treatment.
2. Fuel type is the treatment and vehicle size is the blocking factor.
Fill in the boxes. (Round your SS values to 3 decimal places, F values to 2 decimal places, and other answers to 4 decimal places.)
Two-Factor ANOVA
Source SS df MS F p-value
Treatments (Vehicle Size) ? ? ? ?
Blocks (Fuel Type) ? ? ? ?
Error ? ? ? -
Total ? ? - -
Group Mean n Std. Dev
87 Octane
89 Octane
91 Octane
Ethanol 5%
Ethanol 10%
Compact
Mid-Size
Full-Size
SUV
Total:
Choose the correct statement. Use = 0.05.
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 and vehicle size is not a significant factor.
Fuel type means do not differ significantly, but vehicle size is a significant factor.
Which fuel types show a significant difference in average fuel economy? Use the Tukey simultaneous comparisons at = 0.01.
Ethanol 10% and Ethanol 5%
87 Octane and 89 Octane
Ethanol 5% and 91 Octane
Ethanol 10% and 91 Octane
Explanation / Answer
Result:
Choose the correct statement.
1. Fuel type is the blocking factor and vehicle size is the treatment.
2. Fuel type is the treatment and vehicle size is the blocking factor.
Fill in the boxes. (Round your SS values to 3 decimal places, F values to 2 decimal places, and other answers to 4 decimal places.)
Randomized blocks ANOVA
Mean
n
Std. Dev
24.6500
4
5.8370
87Octane
24.6000
4
5.0020
89Octane
19.1250
4
1.5819
91Octane
24.1000
4
6.7828
Ethanol5%
29.8750
4
1.9397
Ethanol10%
27.3200
5
4.8132
Compact
20.6000
5
6.3863
Mid-Size
27.6400
5
3.7280
Full-Size
22.3200
5
4.0530
SUV
24.4700
20
5.4578
Total
ANOVA table
Source
SS
df
MS
F
p-value
Treatments
231.877
4
57.969
4.79
.0153
Blocks
188.854
3
62.951
5.20
.0157
Error
145.231
12
12.103
Total
565.962
19
Choose the correct statement. Use = 0.05.
Fuel type means differ significantly, but vehicle size is not a significant factor.
Answer: Fuel type means differ significantly and vehicle size is also a significant factor.
Fuel type means do not differ significantly and vehicle size is not a significant factor.
Fuel type means do not differ significantly, but vehicle size is a significant factor.
Which fuel types show a significant difference in average fuel economy? Use the Tukey simultaneous comparisons at = 0.01.
Ethanol 10% and Ethanol 5%
87 Octane and 89 Octane
Ethanol 5% and 91 Octane
Answer: Ethanol 10% and 91 Octane
Tukey simultaneous comparison t-values (d.f. = 12)
91Octane
Ethanol5%
89Octane
87Octane
Ethanol10%
19.1250
24.1000
24.6000
24.6500
29.8750
91Octane
19.1250
Ethanol5%
24.1000
2.02
89Octane
24.6000
2.23
0.20
87Octane
24.6500
2.25
0.22
0.02
Ethanol10%
29.8750
4.37
2.35
2.14
2.12
critical values for experimentwise error rate:
0.05
3.19
0.01
4.13
Randomized blocks ANOVA
Mean
n
Std. Dev
24.6500
4
5.8370
87Octane
24.6000
4
5.0020
89Octane
19.1250
4
1.5819
91Octane
24.1000
4
6.7828
Ethanol5%
29.8750
4
1.9397
Ethanol10%
27.3200
5
4.8132
Compact
20.6000
5
6.3863
Mid-Size
27.6400
5
3.7280
Full-Size
22.3200
5
4.0530
SUV
24.4700
20
5.4578
Total
ANOVA table
Source
SS
df
MS
F
p-value
Treatments
231.877
4
57.969
4.79
.0153
Blocks
188.854
3
62.951
5.20
.0157
Error
145.231
12
12.103
Total
565.962
19
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.