f 3.5 micrograms of active ingredient to each square centimeter of skin. As part of the testing, seven subjects apply the ointment. Six hour later, the amount of drug that has been absorbed into the skin in measured. The amounts, in micrograms, are                                          2.6, 3.2, 2.1, 3.0, 3.1, 2.9, 3.7 How strong is the evidence that the mean amount absorbed differs from 3.5 micrograms? Use α=0.01. Assume that the population is approximately normal.

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 in the US, it must be tested and found to perform equivalently to the brand-name product. The US Food and Drug Administration is now supervising the testing of a new generic antifungal ointment. The brand-name ointment is known to deliver a mean of 3.5 micrograms of active ingredient to each square centimeter of skin.

As part of the testing, seven subjects apply the ointment. Six hour later, the amount of drug that has been absorbed into the skin in measured. The amounts, in micrograms, are

                                         2.6, 3.2, 2.1, 3.0, 3.1, 2.9, 3.7

How strong is the evidence that the mean amount absorbed differs from 3.5 micrograms? Use α=0.01. Assume that the population is approximately normal.

*****What would the standard deviation be for this problem and how would you get the standard deviation?****

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