Data on the gasoline tax per gallon (in cents) as of a certain date for the 50 U.S. states and the District of Columbia are shown below. Gasoline Tax per Gallon Gasoline Tax per Gallon State Alaska Arizona Alabama Arkansas California Colorado Connecticut District of Columbia Florida Delaware Georgia Hawaii Idaho Illinois Indiana Iowa Kansas Kentucky Louisiana Maine Maryland Massachusetts Michigan Minnesota Mississippi 50 40 LAUSE SALT 10 30 18.9 9.1 H 19.1 21.7 DO 37.3 23.2 24.9 22.9 23.4 30.5 26.6 18.6 32.9 33.2 28.9 31.9 24.9 26.1 20.8 31.3 32.7 (b) Construct a boxplot of the data set. 60 60 26.8 30.8 30.7 18.3 50 State 30 Missouri 10 Montana Nebraska Nevada New Hampshire New Jersey New Mexico New York North Carolina North Dakota Ohio Oklahoma Oregon Pennsylvania O Alaska and Pennsylvania are both outliers. O Alaska is an outlier, but Pennsylvania is not. How do you know if they are outliers? To be an outlier, an observation has to be greater than [ Rhode Island South Carolina South Dakota Tennessee Texas Utah Vermont Virginia Washington West Virginia Wisconsin Wyoming 50 30 17.2 10 27.9 27.8 23.7 23.7 14.7 18.8 33.7 35.4 (a) The smallest value in the data set is 9.1 (Alaska) and the largest value is 51.3 (Pennsylvania). Are these values outliers? O Neither Alaska nor Pennsylvania are outliers. O Pennsylvania is an outlier, but Alaska is not. 22.9 27.9 16.9 29.9 51.3 34.2 16.9 29.9 21.3 20.1 30.0 30.6 16.9 44.7 33.1 32.8 23.9 or less than 50 40 30 10 Comment on the interesting features of the plot. (Round numerical answers to the nearest cent.) The boxplot shows that a typical gasoline tax is around cents per gallon, that the middle 50% of gasoline taxes lie between 21 and [ cents per gallon, and that the distribution is --Select... ✓. There ---Select-outlier(s) in the distribution.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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Based on a large national sample of working adults, the U.S. Census Bureau reports the following information on travel time to work for those who do not work at home.
lower quartile = 5 minutes
median 14 minutes
upper quartile = 35 minutes
Also given was the mean travel time, which was reported as 22.8 min.
(a) What does this suggest about the travel time distribution?
O It is negatively skewed.
O It is approximately symmetric.
O It is positively skewed.
(b) Suppose that the minimum travel time was 1 minute and that the maximum travel time in the sample was 205 minutes. Construct a skeletal boxplot for the travel time data. (Hint: See
Example 4.10.)
O
50
50
100
100
150
150
200
200
250
250
(c) Were there any extreme outliers in the data set? How can you tell? (Hint: See Example 4.11.)
There---Select---
✓since ---Select---
50
50
100
100
150
150
200
200
250
250
Ⓡ
Ⓡ
than ? ✓interquartile ranges away from the nearest quartile.
Were there any mild outliers in the data set? How can you tell? (Hint: See Example 4.11.)
O We can't be certain. However, because the data came from a large sample and we know at least one extreme outlier is present, we can be reasonably confident that there are some mild
outliers.
O Given that the data came from a large sample, any outliers present are likely to be extreme outliers rather than mild ones.
O Since the data set doesn't show any signs of skewness, it is unreasonable to think that there would be any mild outliers.
O We can't be certain. However, because no extreme outliers are present but the data is still skewed, we can be reasonably confident that there are some mild outliers.
O Since the data came from a large sample, there must be mild outliers present in the data given the skewness of the data set.
Transcribed Image Text:Based on a large national sample of working adults, the U.S. Census Bureau reports the following information on travel time to work for those who do not work at home. lower quartile = 5 minutes median 14 minutes upper quartile = 35 minutes Also given was the mean travel time, which was reported as 22.8 min. (a) What does this suggest about the travel time distribution? O It is negatively skewed. O It is approximately symmetric. O It is positively skewed. (b) Suppose that the minimum travel time was 1 minute and that the maximum travel time in the sample was 205 minutes. Construct a skeletal boxplot for the travel time data. (Hint: See Example 4.10.) O 50 50 100 100 150 150 200 200 250 250 (c) Were there any extreme outliers in the data set? How can you tell? (Hint: See Example 4.11.) There---Select--- ✓since ---Select--- 50 50 100 100 150 150 200 200 250 250 Ⓡ Ⓡ than ? ✓interquartile ranges away from the nearest quartile. Were there any mild outliers in the data set? How can you tell? (Hint: See Example 4.11.) O We can't be certain. However, because the data came from a large sample and we know at least one extreme outlier is present, we can be reasonably confident that there are some mild outliers. O Given that the data came from a large sample, any outliers present are likely to be extreme outliers rather than mild ones. O Since the data set doesn't show any signs of skewness, it is unreasonable to think that there would be any mild outliers. O We can't be certain. However, because no extreme outliers are present but the data is still skewed, we can be reasonably confident that there are some mild outliers. O Since the data came from a large sample, there must be mild outliers present in the data given the skewness of the data set.
Data on the gasoline tax per gallon (in cents) as of a certain date for the 50 U.S. states and the District of Columbia are shown below.
Gasoline Tax
per Gallon
State
Alabama
Alaska
O
Arizona
Arkansas
California
Colorado
Connecticut
Delaware
District of
Columbia
60
Florida
Georgia
Hawaii
Idaho
Illinois
Indianal
Iowa
Kansas
Kentucky
Louisiana
Maine
Maryland
Massachusetts
Michigan
Minnesota
Mississippi
Gasoline Tax
per Gallon
USE SALT
18.9
50
9.1
19.1
21.7
37.3
23.2
24.9
22.9
23.4
30.5
26.6
18.6
32.9
33.2
28.9
31.9
24.9
26.1
20.8
31.3
32.7
26.8
30.8
30.7
18.3
(b) Construct a boxplot of the data set.
State
Missouri
40
Montana
Nebraska
Nevada
New Hampshire
New Jersey
New Mexico
New York
North Carolina
North Dakota
Ohio
Oklahoma
Oregon
Pennsylvania
Rhode Island
South Carolina
South Dakota
Tennessee
Texas
Utah
Vermont
Virginia
Washington
O Alaska and Pennsylvania are both outliers.
O Alaska is an outlier, but Pennsylvania is not.
How do you know if they are outliers?
To be an outlier, an observation has to be greater than
West Virginia
Wisconsin
Wyoming
60k
50
17.2
40
27.9
27.8
23.7
23.7
14.7
18.8
33.7
35.4
22.9
27.9
16.9
29.9
51.3
34.2
16.9
29.9
21.3
(a) The smallest value in the data set is 9.1 (Alaska) and the largest value is 51.3 (Pennsylvania). Are these values outliers?
O Neither Alaska nor Pennsylvania are outliers.
O Pennsylvania is an outlier, but Alaska is not.
20.1
30.0
30.6
16.9
44.7
33.1
32.8
23.9
or less than
Comment on the interesting features of the plot. (Round numerical answers to the nearest cent.)
The boxplot shows that a typical gasoline tax is around
Ⓡ
cents per gallon, that the middle 50% of gasoline taxes lie between 21 and
cents per gallon, and that the distribution is ---Select---
There
-Select--- V
outlier(s) in the distribution.
Transcribed Image Text:Data on the gasoline tax per gallon (in cents) as of a certain date for the 50 U.S. states and the District of Columbia are shown below. Gasoline Tax per Gallon State Alabama Alaska O Arizona Arkansas California Colorado Connecticut Delaware District of Columbia 60 Florida Georgia Hawaii Idaho Illinois Indianal Iowa Kansas Kentucky Louisiana Maine Maryland Massachusetts Michigan Minnesota Mississippi Gasoline Tax per Gallon USE SALT 18.9 50 9.1 19.1 21.7 37.3 23.2 24.9 22.9 23.4 30.5 26.6 18.6 32.9 33.2 28.9 31.9 24.9 26.1 20.8 31.3 32.7 26.8 30.8 30.7 18.3 (b) Construct a boxplot of the data set. State Missouri 40 Montana Nebraska Nevada New Hampshire New Jersey New Mexico New York North Carolina North Dakota Ohio Oklahoma Oregon Pennsylvania Rhode Island South Carolina South Dakota Tennessee Texas Utah Vermont Virginia Washington O Alaska and Pennsylvania are both outliers. O Alaska is an outlier, but Pennsylvania is not. How do you know if they are outliers? To be an outlier, an observation has to be greater than West Virginia Wisconsin Wyoming 60k 50 17.2 40 27.9 27.8 23.7 23.7 14.7 18.8 33.7 35.4 22.9 27.9 16.9 29.9 51.3 34.2 16.9 29.9 21.3 (a) The smallest value in the data set is 9.1 (Alaska) and the largest value is 51.3 (Pennsylvania). Are these values outliers? O Neither Alaska nor Pennsylvania are outliers. O Pennsylvania is an outlier, but Alaska is not. 20.1 30.0 30.6 16.9 44.7 33.1 32.8 23.9 or less than Comment on the interesting features of the plot. (Round numerical answers to the nearest cent.) The boxplot shows that a typical gasoline tax is around Ⓡ cents per gallon, that the middle 50% of gasoline taxes lie between 21 and cents per gallon, and that the distribution is ---Select--- There -Select--- V outlier(s) in the distribution.
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