The numerical and graphical summary for the provided data of two types of vehicles and a short summary of the major features of this distribution.

Question

Want to see more full solutions like this?

Answer 1

Question

Chapter 1, Problem 156E

To determine

To find: The numerical and graphical summary for the provided data of two types of vehicles and a short summary of the major features of this distribution.

Expert Solution & Answer

Answer to Problem 156E

Solution: The five-number summary for the provided data is shown below:

Car	Minimum	First Quartile	Median	Third Quartile	Maximum
Small Cars	33.00	33.75	34.00	37.00	50.00
Sporty Cars	29.00	29.00	30.00	31.00	33.00

From the boxplot, it can be said that the distribution of the small cars and sporty cars are right skewed with two outliers and symmetric respectively.

Explanation of Solution

Calculation: The numerical summary of the two types of vehicles are provided through the five-number summary. To obtain the five-number summary, follow the below mentioned steps in Minitab software.

Step 1: Enter the observations in the Minitab worksheet.

Step 2: Go to Stat → Basic Statistics → Display Descriptive Statistics.

Step 3: Select “MPG” in the variable option. And select “Car_Class” under “By variable” option.

Step 4: Click on the Statistics button.

Step 5: Select minimum, maximum, first quartile, third quartile and median.

Step 6: Click OK.

The below table shows the five number summary of the two types of cars.

Car	Minimum	First Quartile	Median	Third Quartile	Maximum
Small Cars	33.00	33.75	34.00	37.00	50.00
Sporty Cars	29.00	29.00	30.00	31.00	33.00

Graph: To draw the side-by-side boxplots, the below steps are followed in Minitab software.

Step 1: Enter the data in Minitab.

Step 2: Go to “Graph” and select “Boxplot”.

Step 3: Select “With Groups” under “One Y”. Then click on OK.

Step 4: Select the variables “MPG” and “Car_Class” in the “Graph variables” and “Categorical variables for grouping” respectively.

Step 5: Click OK.

The obtained boxplot is shown below.

LaunchPad for Moore's Introduction to the Practice of Statistics (12 month access), Chapter 1, Problem 156E

From the obtained boxplot, it can be said that the data of small cars has two outliers and the distribution is right skewed. But the data on the fuel efficiency of the sporty cars is more or less symmetric according to the boxplot and the data does not have any outliers.

Interpretation: The distribution of fuel efficiency of small cars and sporty cars are right skewed and symmetric respectively.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Students have asked these similar questions

Une Entreprise œuvrant dans le domaine du multividéo donne l'opportunité à ses programmeurs-analystes d'évaluer la performance des cadres supérieurs. Voici les résultats obtenues (sur une échelle de 10 à 50) où 50 représentent une excellente performance. 10 programmeurs furent sélectionnés au hazard pour évaluer deux cadres. Un rapport Excel est également fourni. Programmeurs Cadre A Cadre B 1 34 36 2 32 34 3 18 19 33 38 19 21 21 23 7 35 34 8 20 20 9 34 34 10 36 34 Test d'égalité des espérances: observations pairées

A television news channel samples 25 gas stations from its local area and uses the results to estimate the average gas price for the state. What’s wrong with its margin of error?

You’re fed up with keeping Fido locked inside, so you conduct a mail survey to find out people’s opinions on the new dog barking ordinance in a certain city. Of the 10,000 people who receive surveys, 1,000 respond, and only 80 are in favor of it. You calculate the margin of error to be 1.2 percent. Explain why this reported margin of error is misleading.

Answer 2

Question

Chapter 1, Problem 156E

To determine

To find: The numerical and graphical summary for the provided data of two types of vehicles and a short summary of the major features of this distribution.

Expert Solution & Answer

Answer to Problem 156E

Solution: The five-number summary for the provided data is shown below:

Car	Minimum	First Quartile	Median	Third Quartile	Maximum
Small Cars	33.00	33.75	34.00	37.00	50.00
Sporty Cars	29.00	29.00	30.00	31.00	33.00

From the boxplot, it can be said that the distribution of the small cars and sporty cars are right skewed with two outliers and symmetric respectively.

Explanation of Solution

Calculation: The numerical summary of the two types of vehicles are provided through the five-number summary. To obtain the five-number summary, follow the below mentioned steps in Minitab software.

Step 1: Enter the observations in the Minitab worksheet.

Step 2: Go to Stat → Basic Statistics → Display Descriptive Statistics.

Step 3: Select “MPG” in the variable option. And select “Car_Class” under “By variable” option.

Step 4: Click on the Statistics button.

Step 5: Select minimum, maximum, first quartile, third quartile and median.

Step 6: Click OK.

The below table shows the five number summary of the two types of cars.

Car	Minimum	First Quartile	Median	Third Quartile	Maximum
Small Cars	33.00	33.75	34.00	37.00	50.00
Sporty Cars	29.00	29.00	30.00	31.00	33.00

Graph: To draw the side-by-side boxplots, the below steps are followed in Minitab software.

Step 1: Enter the data in Minitab.

Step 2: Go to “Graph” and select “Boxplot”.

Step 3: Select “With Groups” under “One Y”. Then click on OK.

Step 4: Select the variables “MPG” and “Car_Class” in the “Graph variables” and “Categorical variables for grouping” respectively.

Step 5: Click OK.

The obtained boxplot is shown below.

LaunchPad for Moore's Introduction to the Practice of Statistics (12 month access), Chapter 1, Problem 156E

From the obtained boxplot, it can be said that the data of small cars has two outliers and the distribution is right skewed. But the data on the fuel efficiency of the sporty cars is more or less symmetric according to the boxplot and the data does not have any outliers.

Interpretation: The distribution of fuel efficiency of small cars and sporty cars are right skewed and symmetric respectively.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 3

Question

Chapter 1, Problem 156E

To determine

To find: The numerical and graphical summary for the provided data of two types of vehicles and a short summary of the major features of this distribution.

Expert Solution & Answer

Answer to Problem 156E

Solution: The five-number summary for the provided data is shown below:

Car	Minimum	First Quartile	Median	Third Quartile	Maximum
Small Cars	33.00	33.75	34.00	37.00	50.00
Sporty Cars	29.00	29.00	30.00	31.00	33.00

From the boxplot, it can be said that the distribution of the small cars and sporty cars are right skewed with two outliers and symmetric respectively.

Explanation of Solution

Calculation: The numerical summary of the two types of vehicles are provided through the five-number summary. To obtain the five-number summary, follow the below mentioned steps in Minitab software.

Step 1: Enter the observations in the Minitab worksheet.

Step 2: Go to Stat → Basic Statistics → Display Descriptive Statistics.

Step 3: Select “MPG” in the variable option. And select “Car_Class” under “By variable” option.

Step 4: Click on the Statistics button.

Step 5: Select minimum, maximum, first quartile, third quartile and median.

Step 6: Click OK.

The below table shows the five number summary of the two types of cars.

Car	Minimum	First Quartile	Median	Third Quartile	Maximum
Small Cars	33.00	33.75	34.00	37.00	50.00
Sporty Cars	29.00	29.00	30.00	31.00	33.00

Graph: To draw the side-by-side boxplots, the below steps are followed in Minitab software.

Step 1: Enter the data in Minitab.

Step 2: Go to “Graph” and select “Boxplot”.

Step 3: Select “With Groups” under “One Y”. Then click on OK.

Step 4: Select the variables “MPG” and “Car_Class” in the “Graph variables” and “Categorical variables for grouping” respectively.

Step 5: Click OK.

The obtained boxplot is shown below.

LaunchPad for Moore's Introduction to the Practice of Statistics (12 month access), Chapter 1, Problem 156E

From the obtained boxplot, it can be said that the data of small cars has two outliers and the distribution is right skewed. But the data on the fuel efficiency of the sporty cars is more or less symmetric according to the boxplot and the data does not have any outliers.

Interpretation: The distribution of fuel efficiency of small cars and sporty cars are right skewed and symmetric respectively.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 4

Question

Chapter 1, Problem 156E

To determine

To find: The numerical and graphical summary for the provided data of two types of vehicles and a short summary of the major features of this distribution.

Expert Solution & Answer

Answer to Problem 156E

Solution: The five-number summary for the provided data is shown below:

Car	Minimum	First Quartile	Median	Third Quartile	Maximum
Small Cars	33.00	33.75	34.00	37.00	50.00
Sporty Cars	29.00	29.00	30.00	31.00	33.00

From the boxplot, it can be said that the distribution of the small cars and sporty cars are right skewed with two outliers and symmetric respectively.

Explanation of Solution

Calculation: The numerical summary of the two types of vehicles are provided through the five-number summary. To obtain the five-number summary, follow the below mentioned steps in Minitab software.

Step 1: Enter the observations in the Minitab worksheet.

Step 2: Go to Stat → Basic Statistics → Display Descriptive Statistics.

Step 3: Select “MPG” in the variable option. And select “Car_Class” under “By variable” option.

Step 4: Click on the Statistics button.

Step 5: Select minimum, maximum, first quartile, third quartile and median.

Step 6: Click OK.

The below table shows the five number summary of the two types of cars.

Car	Minimum	First Quartile	Median	Third Quartile	Maximum
Small Cars	33.00	33.75	34.00	37.00	50.00
Sporty Cars	29.00	29.00	30.00	31.00	33.00

Graph: To draw the side-by-side boxplots, the below steps are followed in Minitab software.

Step 1: Enter the data in Minitab.

Step 2: Go to “Graph” and select “Boxplot”.

Step 3: Select “With Groups” under “One Y”. Then click on OK.

Step 4: Select the variables “MPG” and “Car_Class” in the “Graph variables” and “Categorical variables for grouping” respectively.

Step 5: Click OK.

The obtained boxplot is shown below.

LaunchPad for Moore's Introduction to the Practice of Statistics (12 month access), Chapter 1, Problem 156E

From the obtained boxplot, it can be said that the data of small cars has two outliers and the distribution is right skewed. But the data on the fuel efficiency of the sporty cars is more or less symmetric according to the boxplot and the data does not have any outliers.

Interpretation: The distribution of fuel efficiency of small cars and sporty cars are right skewed and symmetric respectively.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 5

Chapter 1, Problem 156E

To determine

To find: The numerical and graphical summary for the provided data of two types of vehicles and a short summary of the major features of this distribution.

Expert Solution & Answer

Answer to Problem 156E

Solution: The five-number summary for the provided data is shown below:

Car	Minimum	First Quartile	Median	Third Quartile	Maximum
Small Cars	33.00	33.75	34.00	37.00	50.00
Sporty Cars	29.00	29.00	30.00	31.00	33.00

From the boxplot, it can be said that the distribution of the small cars and sporty cars are right skewed with two outliers and symmetric respectively.

Explanation of Solution

Calculation: The numerical summary of the two types of vehicles are provided through the five-number summary. To obtain the five-number summary, follow the below mentioned steps in Minitab software.

Step 1: Enter the observations in the Minitab worksheet.

Step 2: Go to Stat → Basic Statistics → Display Descriptive Statistics.

Step 3: Select “MPG” in the variable option. And select “Car_Class” under “By variable” option.

Step 4: Click on the Statistics button.

Step 5: Select minimum, maximum, first quartile, third quartile and median.

Step 6: Click OK.

The below table shows the five number summary of the two types of cars.

Car	Minimum	First Quartile	Median	Third Quartile	Maximum
Small Cars	33.00	33.75	34.00	37.00	50.00
Sporty Cars	29.00	29.00	30.00	31.00	33.00

Graph: To draw the side-by-side boxplots, the below steps are followed in Minitab software.

Step 1: Enter the data in Minitab.

Step 2: Go to “Graph” and select “Boxplot”.

Step 3: Select “With Groups” under “One Y”. Then click on OK.

Step 4: Select the variables “MPG” and “Car_Class” in the “Graph variables” and “Categorical variables for grouping” respectively.

Step 5: Click OK.

The obtained boxplot is shown below.

LaunchPad for Moore's Introduction to the Practice of Statistics (12 month access), Chapter 1, Problem 156E

From the obtained boxplot, it can be said that the data of small cars has two outliers and the distribution is right skewed. But the data on the fuel efficiency of the sporty cars is more or less symmetric according to the boxplot and the data does not have any outliers.

Interpretation: The distribution of fuel efficiency of small cars and sporty cars are right skewed and symmetric respectively.

Answer 6

Chapter 1, Problem 156E

To determine

To find: The numerical and graphical summary for the provided data of two types of vehicles and a short summary of the major features of this distribution.

Expert Solution & Answer

Answer to Problem 156E

Solution: The five-number summary for the provided data is shown below:

Car	Minimum	First Quartile	Median	Third Quartile	Maximum
Small Cars	33.00	33.75	34.00	37.00	50.00
Sporty Cars	29.00	29.00	30.00	31.00	33.00

From the boxplot, it can be said that the distribution of the small cars and sporty cars are right skewed with two outliers and symmetric respectively.

Explanation of Solution

Calculation: The numerical summary of the two types of vehicles are provided through the five-number summary. To obtain the five-number summary, follow the below mentioned steps in Minitab software.

Step 1: Enter the observations in the Minitab worksheet.

Step 2: Go to Stat → Basic Statistics → Display Descriptive Statistics.

Step 3: Select “MPG” in the variable option. And select “Car_Class” under “By variable” option.

Step 4: Click on the Statistics button.

Step 5: Select minimum, maximum, first quartile, third quartile and median.

Step 6: Click OK.

The below table shows the five number summary of the two types of cars.

Car	Minimum	First Quartile	Median	Third Quartile	Maximum
Small Cars	33.00	33.75	34.00	37.00	50.00
Sporty Cars	29.00	29.00	30.00	31.00	33.00

Graph: To draw the side-by-side boxplots, the below steps are followed in Minitab software.

Step 1: Enter the data in Minitab.

Step 2: Go to “Graph” and select “Boxplot”.

Step 3: Select “With Groups” under “One Y”. Then click on OK.

Step 4: Select the variables “MPG” and “Car_Class” in the “Graph variables” and “Categorical variables for grouping” respectively.

Step 5: Click OK.

The obtained boxplot is shown below.

LaunchPad for Moore's Introduction to the Practice of Statistics (12 month access), Chapter 1, Problem 156E

From the obtained boxplot, it can be said that the data of small cars has two outliers and the distribution is right skewed. But the data on the fuel efficiency of the sporty cars is more or less symmetric according to the boxplot and the data does not have any outliers.

Interpretation: The distribution of fuel efficiency of small cars and sporty cars are right skewed and symmetric respectively.

Answer 7

Chapter 1, Problem 156E

To determine

To find: The numerical and graphical summary for the provided data of two types of vehicles and a short summary of the major features of this distribution.

Answer 8

Expert Solution & Answer

Answer to Problem 156E

Solution: The five-number summary for the provided data is shown below:

Car	Minimum	First Quartile	Median	Third Quartile	Maximum
Small Cars	33.00	33.75	34.00	37.00	50.00
Sporty Cars	29.00	29.00	30.00	31.00	33.00

From the boxplot, it can be said that the distribution of the small cars and sporty cars are right skewed with two outliers and symmetric respectively.

Answer 9

Expert Solution & Answer

Answer 10

Expert Solution & Answer

Answer 11

Explanation of Solution

Calculation: The numerical summary of the two types of vehicles are provided through the five-number summary. To obtain the five-number summary, follow the below mentioned steps in Minitab software.

Step 1: Enter the observations in the Minitab worksheet.

Step 2: Go to Stat → Basic Statistics → Display Descriptive Statistics.

Step 3: Select “MPG” in the variable option. And select “Car_Class” under “By variable” option.

Step 4: Click on the Statistics button.

Step 5: Select minimum, maximum, first quartile, third quartile and median.

Step 6: Click OK.

The below table shows the five number summary of the two types of cars.

Car	Minimum	First Quartile	Median	Third Quartile	Maximum
Small Cars	33.00	33.75	34.00	37.00	50.00
Sporty Cars	29.00	29.00	30.00	31.00	33.00

Graph: To draw the side-by-side boxplots, the below steps are followed in Minitab software.

Step 1: Enter the data in Minitab.

Step 2: Go to “Graph” and select “Boxplot”.

Step 3: Select “With Groups” under “One Y”. Then click on OK.

Step 4: Select the variables “MPG” and “Car_Class” in the “Graph variables” and “Categorical variables for grouping” respectively.

Step 5: Click OK.

The obtained boxplot is shown below.

LaunchPad for Moore's Introduction to the Practice of Statistics (12 month access), Chapter 1, Problem 156E

From the obtained boxplot, it can be said that the data of small cars has two outliers and the distribution is right skewed. But the data on the fuel efficiency of the sporty cars is more or less symmetric according to the boxplot and the data does not have any outliers.

Interpretation: The distribution of fuel efficiency of small cars and sporty cars are right skewed and symmetric respectively.