Conventional wisdom says asprin can reduce fever. 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 follows.
Patient Temp. Before Temp. After
1 103.7 102.6
2 103.7 102.7
3 100.7 98.8
4 102.7 103.5
5 102.7 101.3
6 100.7 99.4
Mean 102.4 101.4
Std. Dev. 1.4 1.9
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. For help on how to input a numeric answer, please see "Instructions for inputting a numeric response."