Unit I: Displaying and Describing Data
1. Market Research: design a product, determine the market for it, determine how much you should charge for it
- Create a coffee stand for your school building
- Pillow-pack: A backpack with a pillow built in to it
- I have a number of kids working on an end of the year project comparing all types of smartphones
- Mac vs PC?
- Tablet PC's
Unit II: Displaying and Describing Bivariate Data (probably my weakest ideas)
1. Have them collect data that makes them think about what a correlation actually shows (not causation, only a relationship between two variables, etc)
- Caloric Intake vs Weight
- Grams of Fat vs Grams of Protein consumed daily
- Income Level vs Achievement Level in Standardized tests (state tests, SAT's, AP, etc.)
1. What's the best sample we can get to investigate one of these questions? I want them to see just how poorly they collected data in Unit I and II
- What proportion of the school district has internet access?
- Revise their sampling methods from previous units
1. Design a game of chance that is profitable (run them all together on a casino day complete with fake money to see how profitable it is in the short-run)
Unit V: Inference for Proportions
1. Continue any of the data collections that were done in the beginning of the year, looking for significant differences (consumer education, market research) - introduces significance, might be boring.
2. Is there equality that exists between schools/institutions? What do "richer" schools have that "poorer" schools do not? Why?
3. Tell a joke and determine whether or not it is funny. Possibly look at a comedian's standup routine to determine if they are funny
4. Type I and Type II Error: Explore wrongful convictions. Have them explore some court cases that are under contention (OJ Simpson, Mumia, etc) and some court cases that are open and shut (Bernie Madoff).
Unit VI: Inference for Means
1. Is there an advantage to eating a raw vegan diet vs the traditional "Western" diet? Inspired by recent events as we have recently started a Raw Vegan diet (and have never felt better)
2. Is there equality between schools/institutions?
Unit VII: Inference when Variables are Related (T-tests for Slope and Chi-Squared Tests)
1. Should you choose one letter over another when taking a multiple choice test? (sorry for so many testing heavy examples)
2. Do a t-test for slope on any of the bi-variate data collected in Unit II
Most of the inferential statistics can be applied to enhance the projects and work done in the beginning of the year. See my post on Inferential Statistics Data Collection for others, and of course feel free to lend me your ideas.