Question: Imagine you are in charge of planning a campus chili competition among several cooking teams. You want to make sure there are enough plates of chili for all pre-paid testers. The school has a student body of 12,000. You have the following standard you must meet: a confidence interval of 99%, and an error of less thank 4 ounces per cooking team. Last years competition had a standard deviation of 30 ounces for the amount of chili cooked.

a. What is the necessary minimum sample size?

b. How is the sample size impacted if we change our confidence levels to 90%?

c. How is the sample size impacted if we change the error requirement to < 2 ounces per cooking team?

d. Explain how determining sample size for the campus chili competition represents statistical, financial and marketing challenges?