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 3636 3636 3535 2929 Driver 2 2525 3737 3737 3838 Driver 3 2323 3939 2525 3636 Driver 4 2121 3838 3939 2727 Driver 5 2424 3434 3636 3030 Copy Data ANOVA Source of Variation SSSS dfdf MSMS Rows 47.500047.5000 44 11.875011.8750 Columns 334.9500334.9500 33 111.6500111.6500 Error 315.3000315.3000 1212 26.275026.2750 Total 697.7500697.7500 1919 Copy Data Step 2 of 3 : Make the decision to reject or fail to reject the null hypothesis that there is no difference in the average gas mileages of the four car models. State the conclusion in terms of the original problem. Use α=0.05�=0.05.

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

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	3636	3636	3535	2929
Driver 2	2525	3737	3737	3838
Driver 3	2323	3939	2525	3636
Driver 4	2121	3838	3939	2727
Driver 5	2424	3434	3636	3030

Copy Data

ANOVA

Source of Variation	SSSS	dfdf	MSMS
Rows	47.500047.5000	44	11.875011.8750
Columns	334.9500334.9500	33	111.6500111.6500
Error	315.3000315.3000	1212	26.275026.2750
Total	697.7500697.7500	1919

Copy Data

Step 2 of 3 :

Make the decision to reject or fail to reject the null hypothesis that there is no difference in the average gas mileages of the four car models. State the conclusion in terms of the original problem. Use α=0.05�=0.05.

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