As a part of a study, a chemical plant sampled the amount ofchemicals in the soil surrounding their building. Samples weretaken in front of the building (sample 1) and samples were taken inthe back of the building (sample 2). The results in ppm are listedbelow.
Sample1 | 0 | 1.8 | 1.5 | 0.4 | 3.5 | 1.7 | 3.9 |
| 5.4 | 2.5 | 2.7 | 3.1 | 4.7 | 2.5 | 4.2 |
| | | | | | | |
Sample 2 | 5.5 | 3.9 | 5.9 | 2.6 | 6.8 | 1.8 | 4.5 |
| 2.5 | 3.9 | 3.9 | 2.9 | 4.8 | 3.1 | 3.8 |
(a) Please test if there is a significant difference in theamount of chemicals in the soil in the front vs the back of thechemical plant. List the 5 steps of the hypothesis test.
(b) What is the 95% confidence interval for the difference inthe amount of chemicals between the two soil sources?  
