Question
In: Statistics and Probability
Listed below are the combined city – highway fuel consumption ratings (in miles per gallons) for...
Listed below are the combined city – highway fuel consumption ratings (in miles per gallons) for different cars measured in old rating system and cars in a new rating system introduced in 2008 (based on data from USA today).
A. Construct a 90 percent confidence interval of the difference in the ratings of cars.
Old Rating: 16 18 27 17 33 28 33 18 24 19 18 27 22 18 20 29 19 27 20 21
New Rating: 15 16 24 15 29 25 29 16 22 17 16 24 20 16 18 26 17 25 18 19
B. Based on the interval is there a reason to believe that there is a difference in the ratings of the two cars?
C. Is there any significant difference in the old and new ratings of cars? Use appropriate hypothesis test to answer this question.
Solutions
orchestra answered 2 years agoRelated Solutions
4. Listed below are the combined city – highway fuel consumption ratings (in miles per gallons)...
4. Listed below are the combined city – highway fuel consumption
ratings (in miles per gallons) for different cars measured in old
rating system and cars in a new rating system introduced in 2008
(based on data from USA today). A. Construct a 90 percent
confidence interval of the difference in the ratings of cars. (Use
3 decimal places) (10 pts) Old Rating: 16 18 27 17 33 28 33 18 24
19 18 27 22 18 20 29 19...
Fuel consumption is commonly measured in miles per gallon (mi/gal). An agency designed new fuel consumption...
Fuel consumption is commonly measured in miles per gallon
(mi/gal). An agency designed new fuel consumption tests to be used
starting with 2008 car models. Listed below are randomly selected
amounts by which the measured MPG ratings decreased because of the
new 2008 standards. Find the range, variance, and standard
deviation for the sample data. Is the decrease of 4 mi/gal
unusual? Why or why not?
22
11
33
22
44
11
33
22
22
22
22
22
11
22 ...
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...
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...
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
Below is a list of gas mileage ratings for selected passenger cars in miles per gallon....
Below is a list of gas mileage ratings for selected passenger
cars in miles per gallon.
16.2 20.3 31.5 30.5 21.5 31.9 37.3 27.5 27.2 34.1 35.1 29.5 31.8
22.0 17.0 21.6
Find the mean, standard deviation, five - number summary, IQR,
and identify any outliers. Use the five - number summary to sketch
a boxplot. What does the boxplot tell you about the distribution of
the data? (20 points)
A random sample of six cars from a particular model year had the fuel consumption figures, measure in miles per gallon, shown below.
A random sample of six cars from a particular model year had the fuel consumption figures, measure in miles per gallon, shown below.
Using T.INV, find a 90% confidence interval for the population mean of fuel consumption for cars of this model year. Assume the distribution is normal. (Round to 2 digits, since our raw data below are expressed with one digit.) (Show work in space provided.)
(ii) Calculate the same interval using CONFIDENCE.T. (Show work in...
The annual per capita consumption of bottled water was 31.3 gallons.
The annual per capita consumption of bottled water was 31.3 gallons. Assume that the per capita consumption of bottled water is approximately normally distributed with a mean of 31.3 and a standard deviation of 11 gallons. a. What is the probability that someone consumed more than 36 gallons of bottled water? b. What is the probability that someone consumed between 30 and 40 gallons of bottled water? c. What is the probability that someone consumed less than 30 gallons of bottled water? d. 99%...
The annual per capita consumption of bottled water was 32.6 gallons. Assume that the per capita...
The annual per capita consumption of bottled water was 32.6 gallons. Assume that the per capita consumption of bottled water is approximately normally distributed with a mean of 32.6 and a standard deviation of 10 gallons. a. What is the probability that someone consumed more than 43 gallons of bottled water? b. What is the probability that someone consumed between 30 and 40 gallons of bottled water? c. What is the probability that someone consumed less than 30 gallons of bottled water? d. 90%...
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