Step 1 of 2: Find the value of the test statistic to test for a difference among the average daily rental rates for the three rental car companies. Round your answer to two decimal places, if necessary.
Step 1 of 2: Find the value of the test statistic to test for a difference among the average daily rental rates for the three rental car companies. Round your answer to two decimal places, if necessary.
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
100%
![The following table contains the results of a survey of daily rental rates of a mid-size car for three major rental car companies at three airport locations on three different days during the year. Is there sufficient evidence to conclude that there is a significant difference among the average daily rental rates for mid-size cars for the three rental car companies?
### Daily Rental Rates of Mid-Size Cars ($)
| | New York | Chicago | Miami |
|-----------------|----------|---------|--------|
| **Hertz** | 83.99 | 81.99 | 73.99 |
| | 89.99 | 91.99 | 45.99 |
| | 77.99 | 89.99 | 72.99 |
| **Avis** | 75.86 | 77.99 | 70.99 |
| | 45.10 | 86.99 | 60.99 |
| | 48.98 | 97.99 | 90.99 |
| **National** | 80.00 | 75.99 | 57.00 |
| | 56.00 | 71.00 | 53.99 |
| | 56.00 | 77.99 | 67.99 |
This table provides a detailed breakdown of the daily rental rates for mid-size cars offered by Hertz, Avis, and National in New York, Chicago, and Miami. The rates are shown for three different days, revealing the variability and potential factors influencing pricing across different locations and dates.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdbed7f96-de73-44e2-9417-90c498b3ebf6%2F1eee2679-b1a3-4b19-8416-fe706dcbcef6%2Fy8znlup_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The following table contains the results of a survey of daily rental rates of a mid-size car for three major rental car companies at three airport locations on three different days during the year. Is there sufficient evidence to conclude that there is a significant difference among the average daily rental rates for mid-size cars for the three rental car companies?
### Daily Rental Rates of Mid-Size Cars ($)
| | New York | Chicago | Miami |
|-----------------|----------|---------|--------|
| **Hertz** | 83.99 | 81.99 | 73.99 |
| | 89.99 | 91.99 | 45.99 |
| | 77.99 | 89.99 | 72.99 |
| **Avis** | 75.86 | 77.99 | 70.99 |
| | 45.10 | 86.99 | 60.99 |
| | 48.98 | 97.99 | 90.99 |
| **National** | 80.00 | 75.99 | 57.00 |
| | 56.00 | 71.00 | 53.99 |
| | 56.00 | 77.99 | 67.99 |
This table provides a detailed breakdown of the daily rental rates for mid-size cars offered by Hertz, Avis, and National in New York, Chicago, and Miami. The rates are shown for three different days, revealing the variability and potential factors influencing pricing across different locations and dates.
![**ANOVA Table: Rental Car Company Analysis**
| Source of Variation | SS | df | MS |
|---------------------|-----------|----|----------|
| Company | 709.6404 | 2 | 354.8202 |
| Location | 1631.7178 | 2 | 815.8589 |
| Interaction | 1157.8336 | 4 | 289.4584 |
| Within | 2379.7889 | 18 | 132.2105 |
| Total | 5878.9807 | 26 | |
*Step 1 of 2*: Find the value of the test statistic to test for a difference among the average daily rental rates for the three rental car companies. Round your answer to two decimal places, if necessary.
**Explanation:**
This table represents an Analysis of Variance (ANOVA) test, which is used to compare means across multiple groups. The sources of variation are divided into 'Company', 'Location', 'Interaction', and 'Within'. Here's what each column represents:
- **SS (Sum of Squares):** Measures the total variation for each source.
- **df (Degrees of Freedom):** Number of independent values that can vary for each source.
- **MS (Mean Square):** Average of the sum of squares which is calculated by dividing SS by df.
This table helps in determining if there are significant differences in rental rates based on company, location, and their interaction.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdbed7f96-de73-44e2-9417-90c498b3ebf6%2F1eee2679-b1a3-4b19-8416-fe706dcbcef6%2Fsr3h9d9_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**ANOVA Table: Rental Car Company Analysis**
| Source of Variation | SS | df | MS |
|---------------------|-----------|----|----------|
| Company | 709.6404 | 2 | 354.8202 |
| Location | 1631.7178 | 2 | 815.8589 |
| Interaction | 1157.8336 | 4 | 289.4584 |
| Within | 2379.7889 | 18 | 132.2105 |
| Total | 5878.9807 | 26 | |
*Step 1 of 2*: Find the value of the test statistic to test for a difference among the average daily rental rates for the three rental car companies. Round your answer to two decimal places, if necessary.
**Explanation:**
This table represents an Analysis of Variance (ANOVA) test, which is used to compare means across multiple groups. The sources of variation are divided into 'Company', 'Location', 'Interaction', and 'Within'. Here's what each column represents:
- **SS (Sum of Squares):** Measures the total variation for each source.
- **df (Degrees of Freedom):** Number of independent values that can vary for each source.
- **MS (Mean Square):** Average of the sum of squares which is calculated by dividing SS by df.
This table helps in determining if there are significant differences in rental rates based on company, location, and their interaction.
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 3 steps with 1 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