Question
In: Statistics and Probability
The table provides summary statistics on highway fuel economy of cars manufactured in 2012 (from Exercise...
The table provides summary statistics on highway fuel economy of cars manufactured in 2012 (from Exercise 5.32). Use these statistics to calculate a 98% confidence interval for the difference between average highway mileage of manual and automatic cars, and interpret this interval in the context of the data.
| Hwy MPG, Automatic | Hwy MPG, Manual | |
|---|---|---|
| Mean | 22.92 | 27.88 |
| SD | 5.29 | 5.01 |
| n | 26 | 26 |
lower bound: mpg (please round to two decimal
places)
upper bound: mpg (please round to two decimal
places)
Solutions
orchestra answered 1 year agoRelated Solutions
The table provides summary statistics on highway fuel economy of cars manufactured in 2012 (from Exercise...
The table provides summary statistics on highway fuel economy of
cars manufactured in 2012 (from Exercise 5.32). Use these
statistics to calculate a 98% confidence interval for the
difference between average highway mileage of manual and automatic
cars, and interpret this interval in the context of the data.
Hwy MPG, Automatic
Hwy MPG, Manual
Mean
22.92
27.88
SD
5.29
5.01
n
26
26
lower bound: mpg (please round to two decimal
places)
upper bound: mpg (please round to two decimal
places)
Interpret...
2. The highway fuel economy of cars is normally distributed with a mean of 35 mpg...
2. The highway fuel economy of cars is normally distributed with
a mean of 35 mpg and a standard deviation of 3 mpg.
(A) Ten cars are sampled. How many do you expect to get at most 33
mpg? (9 points)
(B) Ten cars are sampled. What is the probability the mean is at
most 33 mpg? (9 points)
(C) A Ford Explorer gets 30 mpg. Is this unusual? Solve with two
different (VALID) methods. (18 points)
Show work and...
The Department of Energy and the U.S. Environmental Protection Agency's 2012 Fuel Economy Guide provides fuel...
The Department of Energy and the U.S. Environmental Protection
Agency's 2012 Fuel Economy Guide provides fuel efficiency
data for 2012 model year cars and trucks.† The file named
CarMileage provides a portion of the data for 309 cars. The column
labeled Size identifies the size of the car (Compact, Midsize, and
Large) and the column labeled Hwy MPG shows the fuel efficiency
rating for highway driving in terms of miles per gallon. Use
α = 0.05 and test for any...
The U.S. Department of Energy's Fuel Economy Guide provides fuel efficiency data for cars and trucks...
The U.S. Department of Energy's Fuel Economy Guide provides fuel
efficiency data for cars and trucks (U.S. Department of Energy
website, February 22, 2008). A portion of the data for 311 compact,
midsize, and large cars follows. The column labeled Class
identifies the size of the car: Compact, Midsize, or Large. The
column labeled Displacement shows the engine's displacement in
liters. The column labeled Fuel Type shows whether the car uses
premium (P) or regular (R) fuel, and the column...
1. In the table below are highway fuel consumption amounts (mi/gal) for cars categorized by size...
1. In the table below are highway fuel consumption amounts
(mi/gal) for cars categorized by size (small, midsize, large).
Using a 0.05 significance level, test the claim that the three size
categories have the same mean highway fuel consumption. From the
sample data, does the size of a car appear to affect highway fuel
consumption?
Small (mi/gal): 34 36 28 40
Midsize (mi/gal): 28 31 26 30
Large (mi/gal): 28 26 23 24
The following table provides summary statistics for the DurationSurgery based on whether or not patients contracted...
The following table provides summary statistics for the
DurationSurgery based on whether or not patients contracted an SSI
from the Seasonal Effect data set. One of the researchers is
curious whether there is evidence to suggest that surgery duration
was longer in patients who contracted SSIs. Use the following
information to conduct the following hypothesis test:
A one-tail T-test for a two-sample difference in means at the
99% confidence level
with Null Hypothesis that the average surgery duration in
patients...
A sample of 20 cars, including measurements of fuel consumption (city mi/gal and highway mi/gal), weight...
A sample of 20 cars, including measurements of fuel consumption
(city mi/gal and highway mi/gal), weight (pounds), number of
cylinders, engine displacement (in liters), amount of greenhouse
gases emitted (in tons/year), and amount of tailpipe emissions of
NOx (in lb/yr).
CAR
CITY
HWY
WEIGHT
CYLINDERS
DISPLACEMENT
MAN/AUTO
GHG
NOX
Chev. Camaro
19
30
3545
6
3.8
M
12
34.4
Chev. Cavalier
23
31
2795
4
2.2
A
10
25.1
Dodge Neon
23
32
2600
4
2
A
10
25.1
Ford...
A sample of 20 cars, including measurements of fuel consumption (city mi/gal and highway mi/gal), weight...
A sample of 20 cars, including measurements of fuel consumption
(city mi/gal and highway mi/gal), weight (pounds), number of
cylinders, engine displacement (in liters), amount of greenhouse
gases emitted (in tons/year), and amount of tailpipe emissions of
NOx (in lb/yr).
CAR
CITY
HWY
WEIGHT
CYLINDERS
DISPLACEMENT
MAN/AUTO
GHG
NOX
Chev. Camaro
19
30
3545
6
3.8
M
12
34.4
Chev. Cavalier
23
31
2795
4
2.2
A
10
25.1
Dodge Neon
23
32
2600
4
2
A
10
25.1
Ford...
The table gives the gas mileages (mpg) of 7 cars with and without using a fuel...
The table gives the gas mileages (mpg) of 7 cars with and
without using a fuel additive. At the α =0.10, is there enough
evidence to conclude that the additive improved gas mileage? Assume
the populations are normally distributed.
Car - 1 2 3 4 5 6 7
w/ additive - 23.1 25.4 21.9 24.3 19.9 21.2 25.9
w/out additive - 23.6 27.7 23.6 26.8 22.1 22.4 26.3
Two car types underwent fuel efficiency tests. The table below summarizes the descriptive statistics generated from...
Two car types underwent fuel efficiency tests. The table below
summarizes the descriptive statistics generated from two samples of
independent cars. Assume that both samples are from normal
distributions with equal population variance: ? 1 ~?(? 1 , ? 2 )
and ? 2 ~?(? 2 , ? 2 ).
Car type
Notation
Sample size
Mean (miles per gallon)
Standard deviation (miles per gallon)
1
?1
9
20
6.4
2
?2
9
30
6.1
a) Is there sufficient evidence to...
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