7. Five patients entering a hospital with a high fever were selected at random a

Question

7. 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 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. Patient1234 5 Before 103 102 100 99 103 After 102 101 99 99 100 Assume the differences between before and after measurements follow a normal distribution. Let Hi denote the mean body temperature of high fever patients before taking the new drug and let u2 denote the mean body temperature of high fever patients after taking the new drug. Also let 1-2. What is the 98% confidence interval for D and does this confidence interval provide sufficient evidence to suggest that the new drug is effective in reducing fever? (a) (0.1741, 1.0261), No (b) (-0.6356, 3.0356), Yes (c) (0.1741, 1.0261), Yes (d) (-0.6356, 3.0356), No

Explanation / Answer

The statistical software output for this problem is:

Paired T confidence interval:
D = 1 - 2 : Mean of the difference between Before and After
98% confidence interval results:

Hence,

98% confidence interval will be:

(-0.6356, 3.0356)

Since this interval contains 0, we do not haave sufficient evidence of a difference.

Option D is correct.

Difference Mean Std. Err. DF L. Limit U. Limit Before - After 1.2 0.48989795 4 -0.63562521 3.0356252

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