In experiments to determine the effectiveness of drugs such as anti-fungal ointments

Chapter 5, Problem 7

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In experiments to determine the effectiveness of drugs such as antifungal ointments that are applied to the skin, the concentration of the drug in a patient’s skin  must be measured. The article “Determining Bioequivalence of Topical Dermatological Drug Products  by Tape-Stripping” (W. Navidi, A. Hutchinson, et al.,  Journal of Pharmacokinetics and Pharmacodynam- ics, 2008:213–220) describes an improved method of  measuring that is designed to ensure that all the drug  in the skin is recovered. Assume that in an experi- ment using the old method, the mean amount of drug  recovered from a sample of 49 patients was \(105 \mathrm{ng}\)  with a standard deviation of \(20 \mathrm{ng}\), and that in an experiment using the new method the mean amount of  drug recovered in a sample of 35 patients was \(117 \mathrm{ng}\)  with a standard deviation of \(15 \mathrm{ng}\). Find a 98% confidence interval for the difference in the mean amounts  recovered between the two methods.

Equation Transcription:

Text Transcription:

105  ng

20  ng

117  ng

15  ng

98%

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