A car dealer is interested in comparing the average gas mileages of four different car models. The dealer believes that the aver
age 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 29 31 20 34 Driver 2 27 37 35 39 Driver 3 24 23 31 23 Driver 4 38 24 22 38 Driver 5 20 33 37 36 ANOVA Source of Variation SS df MS Rows 190.2000 4 47.5500 Columns 114.5500 3 38.1833 Error 534.2000 12 44.5167 Total 838.9500 19 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.
