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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.6: Summarizing Categorical Data

Problem 10CYU

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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	8989	7676	7171	8787
Airport B	7979	8787	7979	8383
Airport C	7575	8484	8585	8989
Airport D	7777	7373	8888	8686

Copy Data

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

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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