Question
In: Statistics and Probability
Engineers are testing company fleet vehicle fuel economy (miles per gallon) performance by using different types...
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 | 30.8 | 28.4 | 17.7 | 30.7 | 31.1 |
| Mid-Size | 17.0 | 19.9 | 20.1 | 17.1 | 31.4 |
| Full-Size | 28.9 | 29.0 | 20.4 | 27.0 | 31.3 |
| SUV | 21.9 | 22.8 | 19.5 | 18.7 | 29.6 |
Click here for the Excel Data File
(a) Choose the correct statement.
-
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. (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 (Fuel Type) | Not attempted | Not attempted | Not attempted | Not attempted | Not attempted |
| Blocks (Vehicle Size) | Not attempted | Not attempted | Not attempted | Not attempted | Not attempted |
| Error | Not attempted | Not attempted | Not attempted | ||
| Total | Not attempted | Not attempted | |||
| Group | Mean | n | Std. Dev |
| 87 Octane | Not attempted | Not attempted | Not attempted |
| 89 Octane | Not attempted | Not attempted | Not attempted |
| 91 Octane | Not attempted | Not attempted | Not attempted |
| Ethanol 5% | Not attempted | Not attempted | Not attempted |
| Ethanol 10% | Not attempted | Not attempted | Not attempted |
| Compact | Not attempted | Not attempted | Not attempted |
| Mid-Size | Not attempted | Not attempted | Not attempted |
| Full-Size | Not attempted | Not attempted | Not attempted |
| SUV | Not attempted | Not attempted | Not attempted |
| Total | Not attempted | Not attempted | Not attempted |
(c) Choose the correct statement. Use α =
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.
-
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 α = 0.01. (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 10% and Ethanol 5%
-
89 Octane and 87 Octane
-
Ethanol 5% and 91 Octane
-
Ethanol 10% and 91 Octane
Solutions
Expert Solution
CCONCLUSION:
SINCE F CAL DUE TO BLOCK IS LESS THAN F CRI DUE TO BLOCK. SO WE
INFER THAT THE BLOCS ARE HOMOGENEOUS.
SINCE F CAL DUE TO TREATMENTS IS LESS THAN F CRI DUE TO TREATMENT. SO WE INFER THAT THE EFFECT OF TREATMENTS ARE HOMOGENEOUS.
NOTE: I HAVE GIVEN U THE F TABULATED VALUE. SO OBSERVE THE F CRI VALUES THERE IN (3,12) AND (4,12)
orchestra answered 1 year agoRelated Solutions
Engineers are testing company fleet vehicle fuel economy (miles per gallon) performance by using different types...
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 ...
Engineers are testing company fleet vehicle fuel economy (miles per gallon) performance by using different types...
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
29.7
16.0
30.0
29.8
Mid-Size
17.0
17.2
20.8
19.1
30.7
Full-Size
28.0
28.3
19.7
29.8
27.1
SUV
18.6
22.2
15.0
23.9
31.6
Click here for the...
Engineers are testing company fleet vehicle fuel economy (miles per gallon) performance by using different types...
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
31.2
31.6
22.0
29.7
30.6
Mid-Size
17.3
17.6
18.9
17.2
28.2
Full-Size
27.2
28.1
15.9
31.9
29.7
SUV
20.0
22.0
20.7
23.6
31.4
(a) Choose the correct...
Engineers are testing company fleet vehicle fuel economy (miles per gallon) performance by using different types...
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
30.8
28.4
17.7
30.7
31.1
Mid-Size
17.0
19.9
20.1
17.1
31.4
Full-Size
28.9
29.0
20.4
27.0
31.3
SUV
21.9
22.8
19.5
18.7
29.6
(b) Fill in the...
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for normality.
(b) Based the results in part (a), which test (Hartley’s F-max,
Bartlett’s, Levene’s) is best to use to check for a difference
between the variances of mpg increases for the three additives?
(c) Run the...
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Person
Miles with
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Miles with
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1
234
237
2
257
238
3
243
229
4
215
224
5
114
119
6
287
297
7
315
351
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