In experiments to determine the effectiveness of drugs such as anti-fungal 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 Pharmacodynamics, 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 experiment using the old method, the mean amount of drug recovered from a sample of 49 patients was 105 ng with a standard deviation of 20 ng, and that in an experiment using the new method the mean amount of drug recovered in a sample of 35 patients was 117 ng with a standard deviation of 15 ng. Find a 98% confidence interval for the difference in the mean amounts recovered between the two methods.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.1: Measures Of Center
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In experiments to determine the effectiveness of drugs such as anti-fungal 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
Pharmacodynamics, 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 experiment
using the old method, the mean amount of drug recovered from a sample of 49 patients was
105 ng with a standard deviation of 20 ng, and that in an experiment using the new method
the mean amount of drug recovered in a sample of 35 patients was 117 ng with a standard
deviation of 15 ng. Find a 98% confidence interval for the difference in the mean amounts
recovered between the two methods.

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