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 3030 2929 2121 2020 Driver 2 3030 3333 2424 2626 Driver 3 3030 3434 2929 3131 Driver 4 2929 3333 3636 3434 Driver 5 4040 2323 3232 3333 Copy Data ANOVA Source of Variation SSSS dfdf MSMS Rows 167.8000167.8000 44 41.950041.9500 Columns 36.550036.5500 33 12.183312.1833 Error 280.2000280.2000 1212 23.350023.3500 Total 484.5500484.5500 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

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	3030	2929	2121	2020
Driver 2	3030	3333	2424	2626
Driver 3	3030	3434	2929	3131
Driver 4	2929	3333	3636	3434
Driver 5	4040	2323	3232	3333

Copy Data

ANOVA

Source of Variation	SSSS	dfdf	MSMS
Rows	167.8000167.8000	44	41.950041.9500
Columns	36.550036.5500	33	12.183312.1833
Error	280.2000280.2000	1212	23.350023.3500
Total	484.5500484.5500	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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