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)   b) What sample size is required in problem 1 to have a width of the interval as 0.5.(Clearly write down the formula first and then calculate)

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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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)

 

b) What sample size is required in problem 1 to have a width of the interval as 0.5.(Clearly write down the formula first and then calculate)

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