At the end of class last Friday, I pointed you to a set of problems meant to preview Chapters 5 and 6. Since you’ll be proposing your application projects before we’ve had a chance to cover all of Chapters 5 and 6, I wanted to give you a sense of the kinds of statistical questions (that we haven’t already seen) that you can tackle in your projects. Here’s that list of preview problems again. Below I’ve classified them by type of problem.

1. Hypothesis test for a population mean, large sample size – These are the hypothesis tests we’ve talked about in class.
2. Hypothesis test for the difference in two population means, with paired data, large sample size
3. Hypothesis test for the difference in two population means, with unpaired data, large sample size – Can you tell the difference in “paired data” and “unpaired data” based on these two problems?
4. Hypothesis test for a population proportion (not a population mean), large sample size
5. Hypothesis test for the difference in two population proportions, large sample size
6. Hypothesis test for a population mean, small sample size – Right now, we can handle small sample sizes only if we know the underlying population is normally distributed. Later, we’ll learn how to handle small sample sizes under other conditions.
7. Hypothesis test for the difference in two population means, small sample size