A study is conducted to see how effective aspirin is in reducing temperature in children. A sample of 6 children suffering from influenza had their temperatures taken immediately before and 1 hour after administration of aspirin. The results are given below. We would like to conduct a paired differences t-test for this situation. The data follow.
| Patient |
Temperature Before |
Temperature After |
Difference |
| 1 |
100.7 |
98.4 |
2.3 |
| 2 |
103.7 |
101.6 |
2.1 |
| 3 |
101.7 |
99.9 |
1.8 |
| 4 |
102.7 |
100.6 |
2.1 |
| 5 |
101.7 |
99.9 |
1.8 |
| 6 |
100.7 |
97.7 |
3.0 |
| Mean |
101.9 |
99.7 |
2.2 |
| Std. Dev. |
1.2 |
1.4 |
0.4 |
Note: Children under 17 should not be given aspirin unless advised by a physician, due to the possibility of Reyes Syndrome, a disease affecting the liver and brain.
Calculate the appropriate test statistic of a matched pairs t-test for this data to see if taking aspirin will reduce a child's fever. You may assume the necessary conditions hold.
Give your answer to 2 decimal places.