Chapter 5 M5: Interval estimation

After working your way through Math 342 and most of a 300-level Stat course, it’s time to talk about…probably the first inference tool you ever saw in Intro Stats. But now, we’re going to build up the idea of intervals using Real Math and the things we’ve learned about estimators.

Learning goals for this module include:

• Work with pivotal quantities
  • As usual, this involves both working with the definition (what is one? what is it useful for? how do you know if something is one?) and finding specific examples.
• Create and interpret exact and approximate intervals
  • …including knowing what the difference is :)
• Explain the use of bootstrapping for interval estimation
  • The process of doing bootstrapping is highly computational, so you’d only do the full process on PPs or labs. On an Assessment, you’d need to talk about how bootstrapping works, how to set up the key steps, and why/when you’d use it (including the different variations on the process that we see in this module).