A car dealer is interested in comparing the average gas mileages of four different car models. The dealer believes that the average gas mileage of a particular car will vary depending on the person who is driving the car due to different driving styles. Because of this, he decides to use a randomized block design. He randomly selects five drivers and asks them to drive each of the cars. He then determines the average gas mileage for each car and each driver. Can the dealer conclude that there is a significant difference in average gas mileages of the four car models? The results of the study are as follows.  Average Gas Mileage Driver Car A Car B Car C Car D Driver 1 2323 2222 2222 3434 Driver 2 3434 2929 2525 3737 Driver 3 3535 3232 2525 3737 Driver 4 3131 2121 3636 3636 Driver 5 3131 2727 2727 3535 Copy Data ANOVA Source of Variation SSSS dfdf MSMS Rows 120.7000120.7000 44 30.175030.1750 Columns 288.5500288.5500 33 96.183396.1833 Error 175.7000175.7000 1212 14.641714.6417 Total 584.9500584.9500 1919   Copy Data   Step 1 of 3 :   Find the value of the test statistic for testing whether the average gas mileage is the same for the four car models. Round your answer to two decimal places, if necessary

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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A car dealer is interested in comparing the average gas mileages of four different car models. The dealer believes that the average gas mileage of a particular car will vary depending on the person who is driving the car due to different driving styles. Because of this, he decides to use a randomized block design. He randomly selects five drivers and asks them to drive each of the cars. He then determines the average gas mileage for each car and each driver. Can the dealer conclude that there is a significant difference in average gas mileages of the four car models? The results of the study are as follows.
 
Average Gas Mileage
Driver Car A Car B Car C Car D
Driver 1 2323 2222 2222 3434
Driver 2 3434 2929 2525 3737
Driver 3 3535 3232 2525 3737
Driver 4 3131 2121 3636 3636
Driver 5 3131 2727 2727 3535
Copy Data
 
ANOVA
Source of Variation SSSS dfdf MSMS
Rows 120.7000120.7000 44 30.175030.1750
Columns 288.5500288.5500 33 96.183396.1833
Error 175.7000175.7000 1212 14.641714.6417
Total 584.9500584.9500 1919  
Copy Data
 
Step 1 of 3 :  
Find the value of the test statistic for testing whether the average gas mileage is the same for the four car models. Round your answer to two decimal places, if necessary
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