15.8 Exercises
Selected answers are available in Sect. D.15.
Exercise 15.1 Suppose you are playing a die-based game, and your opponent rolls a 6 ten times in a row.
- Do you think there is a problem with the die?
- Explain how you came to this decision.
Exercise 15.2 In a 2012 advertisement, an Australian pizza company claimed that their 12-inch pizzas were ‘real 12-inch pizzas,’ unlike another brand (Dunn 2012).
- What is a reasonable assumption to make to test this claim?
- The claim is based on a sample of 125 pizzas, for which the sample mean pizza diameter was \(\bar{x} = 11.48\) inches. What are the two reasons why the sample mean is not 12-inches?
- Does the claim appear to be supported by, or contradicted by, the data? Why?
- Would your conclusion change if the sample mean was \(\bar{x} = 11.25\) inches, rather than 11.48 inches? Does the claim appear to be supported by, or contradicted by, the data? Why?
- Does your answer depend on the sample size? For example, is observing a sample mean of 11.25 inches from a sample of size 10 equivalent to observing a sample mean of 11.25 inches from a sample of size 125?
References
Dunn PK. Assessing claims made by a pizza chain. Journal of Statistical Education [Internet]. 2012;20(1). Available from: www.amstat.org/publications/jse/v20n1/dunn.pdf.