Question

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 1.28 1.81 2.71 3.13 1.55 2.55 3.36 3.86Perform 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?

Answer 1

To determine if the mean amount absorbed by the body is greater than 2 micrograms, a hypothesis test can be conducted using a one-sample t-test.

Step-by-step explanation:

To determine whether the mean amount of the active ingredient absorbed by the body is greater than 2 micrograms, a hypothesis test can be conducted.

Using the given data, the sample mean of the amount absorbed can be calculated. Then, a one-sample t-test can be performed with the null hypothesis stating that the mean amount absorbed is equal to 2 micrograms.

Using a significance level of 0.05, the test can determine whether there is enough evidence to reject the null hypothesis and conclude that the mean amount absorbed is indeed greater than 2 micrograms.