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 7070 8585 7474 8383 Airport B 7474 8686 8585 7575 Airport C 8383 8989 8484 8080 Airport D 7070 7373 7272 7474 Copy DataANOVA Source of Variation SSSS dfdf MSMS Rows 287.1875287.1875 33 95.729295.7292 Columns 163.6875163.6875 33 54.562554.5625 Error 163.0625163.0625 99 18.118118.1181 Total 613.9375613.9375 1515 Copy Data Step 2 of 3 : Determine whether to reject or fail to reject the null hypothesis of no difference between the average number of on-time arrivals for the four major airlines. State the conclusion in terms of the original problem. Use α=0.10�=0.10.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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

Airport	Airline A	Airline B	Airline C	Airline D
Airport A	7070	8585	7474	8383
Airport B	7474	8686	8585	7575
Airport C	8383	8989	8484	8080
Airport D	7070	7373	7272	7474

Copy Data

ANOVA

Source of Variation	SSSS	dfdf	MSMS
Rows	287.1875287.1875	33	95.729295.7292
Columns	163.6875163.6875	33	54.562554.5625
Error	163.0625163.0625	99	18.118118.1181
Total	613.9375613.9375	1515

Copy Data

Step 2 of 3 :

Determine whether to reject or fail to reject the null hypothesis of no difference between the average number of on-time arrivals for the four major airlines. State the conclusion in terms of the original problem. Use α=0.10�=0.10.

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