The FAA is interested in knowing if there is a difference in the average number of on-time arrivals for four of the major airlines. The FAA believes that the number of on-time arrivals varies by airport, therefore, a randomized block design is used for the study. To control for this variation, they randomly select 100100 flights for each of the major airlines at each of four randomly selected airports and record the number of on-time flights. Can the FAA conclude that there is a significant difference among the average number of on-time arrivals for the four major airlines? The results of the study are as follows. Average Number of On-Time Arrivals Airport Airline A Airline B Airline C Airline D Airport A 8989 7676 7171 8787 Airport B 7979 8787 7979 8383 Airport C 7575 8484 8585 8989 Airport D 7777 7373 8888 8686 Copy DataANOVA Source of Variation SSSS dfdf MSMS Rows 15.500015.5000 33 5.16675.1667 Columns 109.5000109.5000 33 36.500036.5000 Error 418.0000418.0000 99 46.444446.4444 Total 543.0000543.0000 1515 Copy Data Step 1 of 3 : Find the value of the test statistic for testing whether the average number of on-time arrivals is the same for the four major airlines. Round your answer to two decimal places, if necessary.
The FAA is interested in knowing if there is a difference in the average number of on-time arrivals for four of the major airlines. The FAA believes that the number of on-time arrivals varies by airport, therefore, a randomized block design is used for the study. To control for this variation, they randomly select 100100 flights for each of the major airlines at each of four randomly selected airports and record the number of on-time flights. Can the FAA conclude that there is a significant difference among the average number of on-time arrivals for the four major airlines? The results of the study are as follows. Average Number of On-Time Arrivals Airport Airline A Airline B Airline C Airline D Airport A 8989 7676 7171 8787 Airport B 7979 8787 7979 8383 Airport C 7575 8484 8585 8989 Airport D 7777 7373 8888 8686 Copy DataANOVA Source of Variation SSSS dfdf MSMS Rows 15.500015.5000 33 5.16675.1667 Columns 109.5000109.5000 33 36.500036.5000 Error 418.0000418.0000 99 46.444446.4444 Total 543.0000543.0000 1515 Copy Data Step 1 of 3 : Find the value of the test statistic for testing whether the average number of on-time arrivals is the same for the four major airlines. 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
The FAA is interested in knowing if there is a difference in the average number of on-time arrivals for four of the major airlines. The FAA believes that the number of on-time arrivals varies by airport, therefore, a randomized block design is used for the study. To control for this variation, they randomly select 100100 flights for each of the major airlines at each of four randomly selected airports and record the number of on-time flights. Can the FAA conclude that there is a significant difference among the average number of on-time arrivals for the four major airlines? The results of the study are as follows.
Average Number of On-Time Arrivals
Copy Data
ANOVA
Copy Data
Average Number of On-Time Arrivals
Airport | Airline A | Airline B | Airline C | Airline D |
---|---|---|---|---|
Airport A | 8989 | 7676 | 7171 | 8787 |
Airport B | 7979 | 8787 | 7979 | 8383 |
Airport C | 7575 | 8484 | 8585 | 8989 |
Airport D | 7777 | 7373 | 8888 | 8686 |
ANOVA
Source of Variation | SSSS | dfdf | MSMS |
---|---|---|---|
Rows | 15.500015.5000 | 33 | 5.16675.1667 |
Columns | 109.5000109.5000 | 33 | 36.500036.5000 |
Error | 418.0000418.0000 | 99 | 46.444446.4444 |
Total | 543.0000543.0000 | 1515 |
Step 1 of 3 :
Find the value of the test statistic for testing whether the average number of on-time arrivals is the same for the four major airlines. Round your answer to two decimal places, if necessary.
AI-Generated Solution
AI-generated content may present inaccurate or offensive content that does not represent bartleby’s views.
Unlock instant AI solutions
Tap the button
to generate a solution
Recommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
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
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
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…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
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
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman