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Abstract
This paper describes an interactive activity that revolves around the dice-based golf game GOLO.
The GOLO game can be purchased at various retail locations or online at igolo.com. In addition, the game may be played online free of charge at igolo.com. The activity is completed in four parts. The four parts can be used in a sequence or they can be used individually. Part 1 illustrates the binomial distribution. Part 2 illustrates the sampling distribution of the sample proportion. Part 3 illustrates confidence intervals for a population proportion. Part 4 illustrates hypothesis tests for a population proportion.
Extensions of the activity can be used to illustrate discrete probability distributions (including the geometric, hypergeometric, and negative binomial) and the distribution of the first order statistic. The activity can be used in an AP statistics course or an introductory undergraduate statistics course. The extensions of the activity can be used in an intermediate undergraduate statistics course or a mathematical statistics course. Each extension is self-contained and can be carried out without having worked through other extensions or any of the four parts of the main activity.
- Active learning
- Statistics in sports
- Binomial distribution
- Sampling distribution of a sample proportion
- Confidence interval for a proportion
- Hypothesis test on a proportion
- Geometric distribution
- Hypergeometric distribution
- Negative binomial distribution
- Distribution of the first order statistic
- Theoretical and empirical probabilities
Acknowledgment
The authors gratefully acknowledge Patrick Shea for developing GOLO and supporting our efforts to utilize GOLO in our courses.