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 3232 2222 3030 3939 Driver 2 2121 3939 3838 3737 Driver 3 2626 3131 3232 3939 Driver 4 3838 4040 2323 3434 Driver 5 3131 2929 2121 2222 Copy Data ANOVA Source of Variation SSSS dfdf MSMS Rows 174.2000174.2000 44 43.550043.5500 Columns 91.600091.6000 33 30.533330.5333 Error 607.4000607.4000 1212 50.616750.6167 Total 873.2000873.2000 1919 Copy Data Step 3 of 3: Was the dealer able to significantly reduce variation among the observed gas mileages by blocking? Use α=0.10�=0.10.
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 3232 2222 3030 3939 Driver 2 2121 3939 3838 3737 Driver 3 2626 3131 3232 3939 Driver 4 3838 4040 2323 3434 Driver 5 3131 2929 2121 2222 Copy Data ANOVA Source of Variation SSSS dfdf MSMS Rows 174.2000174.2000 44 43.550043.5500 Columns 91.600091.6000 33 30.533330.5333 Error 607.4000607.4000 1212 50.616750.6167 Total 873.2000873.2000 1919 Copy Data Step 3 of 3: Was the dealer able to significantly reduce variation among the observed gas mileages by blocking? Use α=0.10�=0.10.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
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
Copy Data
ANOVA
Copy Data
| Driver | Car A | Car B | Car C | Car D |
|---|---|---|---|---|
| Driver 1 | 3232 | 2222 | 3030 | 3939 |
| Driver 2 | 2121 | 3939 | 3838 | 3737 |
| Driver 3 | 2626 | 3131 | 3232 | 3939 |
| Driver 4 | 3838 | 4040 | 2323 | 3434 |
| Driver 5 | 3131 | 2929 | 2121 | 2222 |
ANOVA
| Source of Variation | SSSS | dfdf | MSMS |
|---|---|---|---|
| Rows | 174.2000174.2000 | 44 | 43.550043.5500 |
| Columns | 91.600091.6000 | 33 | 30.533330.5333 |
| Error | 607.4000607.4000 | 1212 | 50.616750.6167 |
| Total | 873.2000873.2000 | 1919 |
Step 3 of 3:
Was the dealer able to significantly reduce variation among the observed gas mileages by blocking? Use α=0.10�=0.10.
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