One of the ways in which doctors try to determine how long a single dose of pain reliever will provide relief is to measure the drug’s half-life, which is the length of time it takes for one-half of the dose to be eliminated from the body.

Following are half-lives (in hours) of the pain reliever oxycodone for a sample of 18 individuals, along with a boxplot of the data, based on a report of the National Institutes of Health.

a. Is it reasonable to assume that the conditions for constructing a confidence interval for the mean half-life are satisfied?
Explain.

b. If appropriate, construct a 95% confidence interval for the mean half-life.

c. The National Institutes of Health report states that the mean half-life is 3.51 hours. If appropriate, explain whether this confidence interval contradicts this claim.

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