please answer all the parts to the question (THIS IS NOT A GRADED ASSIGNMENT) 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 minutesmedian 14 minutesupper quartile = 35 minutesAlso 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: SeeExample 4.10.)O5050100100150150200200250250(c) Were there any extreme outliers in the data set? How can you tell? (Hint: See Example 4.11.)There---Select---✓since ---Select---5050100100150150200200250250ⓇⓇ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 mildoutliers.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 Taxper GallonStateAlabamaAlaskaOArizonaArkansasCaliforniaColoradoConnecticutDelawareDistrict ofColumbia60FloridaGeorgiaHawaiiIdahoIllinoisIndianalIowaKansasKentuckyLouisianaMaineMarylandMassachusettsMichiganMinnesotaMississippiGasoline Taxper GallonUSE SALT18.9509.119.121.737.323.224.922.923.430.526.618.632.933.228.931.924.926.120.831.332.726.830.830.718.3(b) Construct a boxplot of the data set.StateMissouri40MontanaNebraskaNevadaNew HampshireNew JerseyNew MexicoNew YorkNorth CarolinaNorth DakotaOhioOklahomaOregonPennsylvaniaRhode IslandSouth CarolinaSouth DakotaTennesseeTexasUtahVermontVirginiaWashingtonO 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 thanWest VirginiaWisconsinWyoming60k5017.24027.927.823.723.714.718.833.735.422.927.916.929.951.334.216.929.921.3(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.20.130.030.616.944.733.132.823.9or less thanComment 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 andcents per gallon, and that the distribution is ---Select---There-Select--- Voutlier(s) in the distribution.

The data represents the gasoline tax per gallon for each of the 50 US states and district of…

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.

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA