For Exercises 23–35, do the following:

  1. Provide the null and alternative hypotheses.
  2. Describe the two ways a correct decision could be made in the context of the problem.
  3. Describe what a Type I error would mean in the context of the problem.
  4. Describe what a Type II error would mean in the context of the problem.

Question 9.29

29. Caffeine in Starbucks Coffee. The medical information Web site MayoClinic.org reports that a 16-ounce Starbucks Park Place brewed coffee contains 350 milligrams (mg) of caffeine. Suppose a local health organization is interested in whether the mean amount of caffeine in this coffee has changed from 350 mg.

9.1.29

(a) (b) Conclude that the population mean amount of caffeine in a 16-ounce Starbucks Park Place brewed coffee has changed from 350 milligrams when, in reality, it has changed from 350 milligrams. Conclude that the population mean amount of caffeine in a 16-ounce Starbucks Park Place brewed coffee has not changed from 350 milligrams when, in reality, it has not changed from 350 milligrams.

(c) Conclude that the population mean amount of caffeine in a 16-ounce Starbucks Park Place brewed coffee has changed from 350 milligrams when, in reality, it has not changed from 350 milligrams. (d) Conclude that the population mean amount of caffeine in a 16-ounce Starbucks Park Place brewed coffee has not changed from 350 milligrams when, in reality, it has changed from 350 milligrams.