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 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.
The statistical software output for this problem is:
Hence,
Test statistic = 12.03
Conventional wisdom says asprin can reduce fever. A study is conducted to see how effective aspirin...
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 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...
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