When testing a new drug, scientists measure the amount of the active ingredient that is absorbed by the body.

In a study done at the Colorado School of Mines, a new antifungal medication that was designed to be applied to the skin was tested. The medication was applied to the skin of eight adult subjects. One hour later, the amount of active ingredient that had been absorbed into the skin was measured for each subject. The results, in micrograms, were

a. Construct a boxplot for these data. Is it appropriate to perform a hypothesis test?

b. If appropriate, perform a hypothesis test to determine whether the mean amount absorbed is greater than 2 micrograms. Use the α = 0.05 level of significance. What do you conclude?

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1.28 1.81 2.71 3.13 1.55 2.55 3.36 3.86