A study was conducted to investigate whether local car mechanics charge women more than men for a transmission repair. The researcher selected randomly one man and one woman from everyone who had used the same mechanic for the same transmission repair. The process was repeated for a total of seven selected randomly cars. The repair prices and the differences are shown in the table. Car 1 Car 2 Car 3 Car 4 $2,000 Car 5 Car 6 Car 7 $3,000 $1,950 $2,250 $3,550 $3,200 $1,850 $3,285 $3,100 $1,975 $2,150 $2,850 $1,750 $2,175 Difference $265 $100 -$125 -$150 $150 $200 $75 Women Men Mean Standard Deviation Women $2,542.86 $691.27 $2,469.29 $599.77 Difference $73.57 $157.37 Men Dotplots of the data and the differences are shown. 1,700 1,900 2,100 2,300 2,500 2,700 2,900 3,100 3,300 3,500 3,700 1,700 1,900 2,100 2,300 -200 -150 -100 -50 Women 0 Men 2,500 2,700 2,900 3,100 3,300 3,500 Difference 50 ● 100 150 200 250 300 Do the data provide convincing statistical evidence that women pay more than men for the same transmission repair?
A study was conducted to investigate whether local car mechanics charge women more than men for a transmission repair. The researcher selected randomly one man and one woman from everyone who had used the same mechanic for the same transmission repair. The process was repeated for a total of seven selected randomly cars. The repair prices and the differences are shown in the table. Car 1 Car 2 Car 3 Car 4 $2,000 Car 5 Car 6 Car 7 $3,000 $1,950 $2,250 $3,550 $3,200 $1,850 $3,285 $3,100 $1,975 $2,150 $2,850 $1,750 $2,175 Difference $265 $100 -$125 -$150 $150 $200 $75 Women Men Mean Standard Deviation Women $2,542.86 $691.27 $2,469.29 $599.77 Difference $73.57 $157.37 Men Dotplots of the data and the differences are shown. 1,700 1,900 2,100 2,300 2,500 2,700 2,900 3,100 3,300 3,500 3,700 1,700 1,900 2,100 2,300 -200 -150 -100 -50 Women 0 Men 2,500 2,700 2,900 3,100 3,300 3,500 Difference 50 ● 100 150 200 250 300 Do the data provide convincing statistical evidence that women pay more than men for the same transmission repair?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
![A study was conducted to investigate whether local car mechanics charge women more than men for a transmission repair. The researcher selected randomly one man and one woman from everyone who had used
the same mechanic for the same transmission repair. The process was repeated for a total of seven selected randomly cars. The repair prices and the differences are shown in the table.
Car 5 Car 6 Car 7
Car 1 Car 2 Car 3
$3,550 $3,200 $1,850
$2,000 $3,000 $1,950 $2,250
$3,285 $3,100 $1,975 $2,150 $2,850 $1,750 $2,175
Difference $265 $100 -$125 -$150 $150 $200 $75
Women
Men
Women $2,542.86 $691.27
$2,469.29 $599.77
Difference $73.57 $157.37
Men
Mean Standard Deviation
Dotplots of the data and the differences are shown.
1,700
Car 4
1,700 1,900 2,100 2,300 2,500 2,700 2,900 3,100 3,300 3,500 3,700
1,900 2,100 2,300
-200 -150 -100 -50
Women
0
Men
2,500
Difference
2,700
50
2,900 3,100 3,300 3,500
100 150 200
250
300
Do the data provide convincing statistical evidence that women pay more than men for the same transmission repair?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc9b1d45f-2625-4b93-b570-df748e06f675%2F5d6e134a-1c61-4cc3-8ce2-e22a2f135ed1%2Fhwldfz2_processed.png&w=3840&q=75)
Transcribed Image Text:A study was conducted to investigate whether local car mechanics charge women more than men for a transmission repair. The researcher selected randomly one man and one woman from everyone who had used
the same mechanic for the same transmission repair. The process was repeated for a total of seven selected randomly cars. The repair prices and the differences are shown in the table.
Car 5 Car 6 Car 7
Car 1 Car 2 Car 3
$3,550 $3,200 $1,850
$2,000 $3,000 $1,950 $2,250
$3,285 $3,100 $1,975 $2,150 $2,850 $1,750 $2,175
Difference $265 $100 -$125 -$150 $150 $200 $75
Women
Men
Women $2,542.86 $691.27
$2,469.29 $599.77
Difference $73.57 $157.37
Men
Mean Standard Deviation
Dotplots of the data and the differences are shown.
1,700
Car 4
1,700 1,900 2,100 2,300 2,500 2,700 2,900 3,100 3,300 3,500 3,700
1,900 2,100 2,300
-200 -150 -100 -50
Women
0
Men
2,500
Difference
2,700
50
2,900 3,100 3,300 3,500
100 150 200
250
300
Do the data provide convincing statistical evidence that women pay more than men for the same transmission repair?
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 5 steps with 6 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Recommended textbooks for you
![MATLAB: An Introduction with Applications](https://www.bartleby.com/isbn_cover_images/9781119256830/9781119256830_smallCoverImage.gif)
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
![Probability and Statistics for Engineering and th…](https://www.bartleby.com/isbn_cover_images/9781305251809/9781305251809_smallCoverImage.gif)
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
![Statistics for The Behavioral Sciences (MindTap C…](https://www.bartleby.com/isbn_cover_images/9781305504912/9781305504912_smallCoverImage.gif)
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
![MATLAB: An Introduction with Applications](https://www.bartleby.com/isbn_cover_images/9781119256830/9781119256830_smallCoverImage.gif)
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
![Probability and Statistics for Engineering and th…](https://www.bartleby.com/isbn_cover_images/9781305251809/9781305251809_smallCoverImage.gif)
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
![Statistics for The Behavioral Sciences (MindTap C…](https://www.bartleby.com/isbn_cover_images/9781305504912/9781305504912_smallCoverImage.gif)
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
![Elementary Statistics: Picturing the World (7th E…](https://www.bartleby.com/isbn_cover_images/9780134683416/9780134683416_smallCoverImage.gif)
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
![The Basic Practice of Statistics](https://www.bartleby.com/isbn_cover_images/9781319042578/9781319042578_smallCoverImage.gif)
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
![Introduction to the Practice of Statistics](https://www.bartleby.com/isbn_cover_images/9781319013387/9781319013387_smallCoverImage.gif)
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman