Caffeine in Starbucks coffee. Scientists at the University of Florida College of Medicine investigated the level of caffeine in 16-ounce cups of Starbucks coffee ( Journal of Analytical Toxicology , Oct. 2003). In one phase of the experiment, cups of Starbucks Breakfast Blend (a mix of Latin American coffees) were purchased on six 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 following table and saved in the STARBUCKS file.
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 that p =.5, use the binomial table in Appendix A to find the probability that at least 4 of the 6 cups have caffeine amounts that exceed 300 milligrams.
d. On the basis of the probability you found in part c , what do you conclude about H0 and Ha? (Use α =.05. )
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