Assume the differences between before and after measurements follow a normal distribution. Let μ1 denote the mean body temperature of high fever patients before taking the new drug and let μ2 denote the mean body temperature of high fever patients after taking the new drug. Also let μD = μ1 - μ2. What is the 95% confidence interval for μD and does this confidence interval suggest that the new drug is effective in reducing fever?
Five patients entering a hospital with a high fever were selected at random and were administered a new drug which is designed to reduce fever. The body temperature (°F) of each patient was measured before the new drug was administered and 2 hours after the administration. The data are given in the following table.
| Patient | 1 | 2 | 3 | 4 | 5 |
| Before | 103 | 99 | 102 | 101 | 103 |
| After | 100 | 99 | 98 | 100 | 100 |
Assume the differences between before and after measurements follow a
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