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

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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.

EBK INTRODUCTION TO THE PRACTICE OF STA, 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.

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Students have asked these similar questions

The population mean and standard deviation are given below. Find the required probability and determine whether the given sample mean would be considered unusual. For a sample of n = 65, find the probability of a sample mean being greater than 225 if μ = 224 and σ = 3.5. For a sample of n = 65, the probability of a sample mean being greater than 225 if μ=224 and σ = 3.5 is 0.0102 (Round to four decimal places as needed.)

***Please do not just simply copy and paste the other solution for this problem posted on bartleby as that solution does not have all of the parts completed for this problem. Please answer this I will leave a like on the problem. The data needed to answer this question is given in the following link (file is on view only so if you would like to make a copy to make it easier for yourself feel free to do so) https://docs.google.com/spreadsheets/d/1aV5rsxdNjHnkeTkm5VqHzBXZgW-Ptbs3vqwk0SYiQPo/edit?usp=sharing

The data needed to answer this question is given in the following link (file is on view only so if you would like to make a copy to make it easier for yourself feel free to do so) https://docs.google.com/spreadsheets/d/1aV5rsxdNjHnkeTkm5VqHzBXZgW-Ptbs3vqwk0SYiQPo/edit?usp=sharing

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.

EBK INTRODUCTION TO THE PRACTICE OF STA, 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.

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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.

EBK INTRODUCTION TO THE PRACTICE OF STA, 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.

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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.

EBK INTRODUCTION TO THE PRACTICE OF STA, 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.

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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.

EBK INTRODUCTION TO THE PRACTICE OF STA, 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.

EBK INTRODUCTION TO THE PRACTICE OF STA, 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.

EBK INTRODUCTION TO THE PRACTICE OF STA, 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.