In: Statistics and Probability
Two fuel additives are being tested to determine their effect on gasoline mileage. Seven cars were tested with additive 1 and nine cars were tested with additive 2. The following data show the miles per gallon obtained with the two additives.
| Additive 1 | Additive 2 | 
|---|---|
| 18.3 | 18.7 | 
| 19.4 | 18.8 | 
| 20.1 | 21.3 | 
| 15.7 | 20.0 | 
| 18.2 | 23.1 | 
| 18.6 | 18.7 | 
| 17.5 | 19.8 | 
| 20.7 | |
| 19.2 | 
Find the value of the test statistic and p-value.
please do step by step? I saw there was a similar problem but table 8 in Appendix B Tables isn't there so I wasn't able to finish the answer.
Let 
 denote the average gasoline mileage for cars with additive 1 and
additive 2 respectively.


Conclusion in probelm context :
There is significant effect on gasoline mileage.