Generic drugs are lower-cost substitutes for brand-name drugs. Before a generic drug can be sold, it must be tested and found to perform equivalently to the brand name product. The U.S food and drug administration is now supervising the testing of the new generic antifungal ointment. The brand-name antifungal ointment is known to deliver a mean of 3.4 micrograms of active ingredient to each square centimeter of skin. As a part of testing, seven subjects apply the new generic antifungal ointment. Six hours later, the amount of drug that has been absorbed into the skin is measured. The amounts, in micrograms, for seven subjects are 2.6, 3.2,  2.1, 3.0, 3.1, 2.9, 3.7 with mean equals 2.9429 and standard deviation as 0.4995. Assume that the amount absorbed is normally distributed. Calculate the 99% confidence interval for true average amount absorbed. (clearly write down the formula first and then calculate)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 14PPS
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Generic drugs are lower-cost substitutes for brand-name drugs. Before a generic drug can be sold, it must be tested and found to perform equivalently to the brand name product. The U.S food and drug administration is now supervising the testing of the new generic antifungal ointment. The brand-name antifungal ointment is known to deliver a mean of 3.4 micrograms of active ingredient to each square centimeter of skin. As a part of testing, seven subjects apply the new generic antifungal ointment. Six hours later, the amount of drug that has been absorbed into the skin is measured. The amounts, in micrograms, for seven subjects are 2.6, 3.2,  2.1, 3.0, 3.1, 2.9, 3.7 with mean equals 2.9429 and standard deviation as 0.4995. Assume that the amount absorbed is normally distributed. Calculate the 99% confidence interval for true average amount absorbed. (clearly write down the formula first and then calculate)

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