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 | 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 | 18.9 | 20.8 |
| SUV | 18.7 | 24.1 | 22.1 | 18.7 | 17.4 |
state null and alternative hypotheses, critical value, test statistic and make TWO definitive conclusion statements.
Solutions
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
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...
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...
The ACME Fuel Company is testing three gasoline additives that potentially improve miles per gallon (mpg)....
The ACME Fuel Company is testing three gasoline additives that
potentially improve miles per gallon (mpg). Data on the mpg
increases are listed below.
(a) For each of the three additives, make boxplots, probability
plots, run Anderson-Darling tests, and Shapiro-Wilks tests to check
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...
Some people believe that different octane gasoline result in different miles per gallon in a vehicle....
Some people believe that different octane gasoline result in
different miles per gallon in a vehicle. The following data is a
sample of 11 people which were asked to drive their car only using
10 gallons of gas and record their mileage for each 87 Octane and
92 Octane.
Person
Miles with
87 Octane
Miles with
92 Octane
1
234
237
2
257
238
3
243
229
4
215
224
5
114
119
6
287
297
7
315
351
8...
Two types of engines are tested for fuel efficiency based on miles per gallon. A sample...
Two types of engines are tested for fuel efficiency based on
miles per gallon. A sample of 31 cars were tested with Brand X and
the mean was 20.9 mpg with a standard deviation of 1.8 mpg. 31 cars
tested with Brand Y had a mean of 17.6 mpg and a standard deviation
of 1.2 mpg. Test the claim that Brand X is more efficient than
Brand Y. Use a 0.05 significance level.
Using the data from Problem #1, calculate...
The corporate average fuel economy (CAFE) standard for mileage is currently 28 miles per gallon of...
The corporate average fuel economy (CAFE) standard for mileage
is currently 28 miles per gallon of gasoline (the defender) for
passenger cars. To conserve fuel and reduce air pollution, suppose
the U.S. Congress sets the CAFE standard at 35 miles per
gallon(the challenger) in 2010. An auto will emit on average 0.8
pounds of carbon dioxide (CO2) per mile driven at 28 miles per
gallon, and it will emit 0.7 pounds of O2 per mile driven at 35
miles per...
Based on tests of a certain automobile, engineers have found that the miles per gallon in...
Based on tests of a certain automobile, engineers have found
that the miles per gallon in highway driving are normally
distributed, with a mean of 31 miles per gallon and a standard
deviation of 3.4 miles per gallon. 12 of these automobiles are
randomly selected and the miles per gallon for each car are
recorded.
What is the probability that the mean miles per gallon of this
sample exceeds 33 miles per gallon?
Would this be considered unusual?
The fuel consumption, in miles per gallon, of all cars of a particular model has a...
The fuel consumption, in miles per gallon, of all cars of a
particular model has a mean of 25 and a standard deviation of 2.
The population distribution can be assumed as normal. A random
sample of these cars is taken.
a. Find the probability that the sample mean fuel consumption
will be fewer than 24 miles per gallon if (i) a sample of 1
observation is taken, (ii) a sample of 4 observations if taken and
(iii) a sample...
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