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 9090 8282 8080 8383 Airport B 8282 7070 7474 7979 Airport C 8787 8484 7676 8888 Airport D 9090 7979 7979 9090 Copy DataANOVA Source of Variation SSSS dfdf MSMS Rows 181.6875181.6875 33 60.562560.5625 Columns 278.6875278.6875 33 92.895892.8958 Error 72.562572.5625 99 8.06258.0625 Total 532.9375532.9375 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

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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	9090	8282	8080	8383
Airport B	8282	7070	7474	7979
Airport C	8787	8484	7676	8888
Airport D	9090	7979	7979	9090

Copy Data

ANOVA

Source of Variation	SSSS	dfdf	MSMS
Rows	181.6875181.6875	33	60.562560.5625
Columns	278.6875278.6875	33	92.895892.8958
Error	72.562572.5625	99	8.06258.0625
Total	532.9375532.9375	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

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