Caffeine in Starbucks coffee. Researchers at the University of Florida College of Medicine investigated the level of caffeine in 16-ounce cups of Starbucks coffee (Journal of Analytical Toxicology, October 2003). In one phase of the experiment, cups of Starbucks Breakfast Blend (a mix of Latin American coffees) were purchased on 6 consecutive days from a single specialty coffee shop. The amount of caffeine in each of the six cups (measured in milligrams) is provided in the table. 564 498 259 303 300 307

a. Suppose the scientists are interested in determining whether the median amount of caffeine in Breakfast Blend coffee exceeds 300 milligrams. Set up the null and alternative hypotheses of interest.

b. How many of the cups in the sample have a caffeine content that exceeds 300 milligrams?

c. Assuming p = .5, use the binomial table in Appendix D to find the probability that at least four of the six cups have caffeine amounts that exceed 300 milligrams.

d. Based on the probability, part

c, what do you conclude about H0 and Ha? (Use a = .05.)