You Got Gas have developed a new type of fuel additive that supposedly increases car speed. Before they put it out on the market, however, they need to test if it really is a difference compared to standard fuel. So, they took 6 vehicles and calculated the time it takes to for them to drive 1 mile going as fast as they can. They received the following data: Car ID# Course time (standard fuel in minutes) Course time (w/ additive in minutes) 1 35 27 2 40 35 3 25 27 4 40 39 5 95 94 6 32 18 6. What is the null and research hypothesis for this study? 7. What type of statistical test should we use to compare means (z-test, independent t-test, dependent t-test, or ANOVA)? Why? 8. What are the degrees of freedom? What are the critical values for that statistical test with this data at α = 0.05? α = 0.01?
You Got Gas have developed a new type of fuel additive that supposedly increases car speed. Before they put it out on the market, however, they need to test if it really is a difference compared to standard fuel. So, they took 6 vehicles and calculated the time it takes to for them to drive 1 mile going as fast as they can. They received the following data:
| Car ID# | Course time (standard fuel in minutes) | Course time (w/ additive in minutes) |
|
1 |
35 | 27 |
| 2 | 40 | 35 |
| 3 | 25 | 27 |
| 4 | 40 | 39 |
| 5 | 95 | 94 |
| 6 | 32 | 18 |
6. What is the null and research hypothesis for this study?
7. What type of statistical test should we use to compare means (z-test, independent t-test, dependent t-test, or ANOVA)? Why?
8. What are the degrees of freedom? What are the critical values for that statistical test with this data at α = 0.05? α = 0.01?
9. Comparing the groups, is there a significant difference at α = 0.05 in lap time between eating the name bran and when they ate Dog Go?
10. How would the researcher report this result in a journal?
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