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Confidence intervals, the sampling distribution, and the Central Limit Theorem are things I find are not very well understood by people new to inferential statistics. This module is an insightful and practical to these topics meant to help you succeed in these topic areas. It covers:
  • The concept of the sampling distribution, something you’ve seen before in our earlier module even though we didn’t refer to it that way back then
  • The Central Limit Theorem and how it enables us to make practical statements about the confidence we have in estimates we make of statistical parameters
  • A thorough introduction to how to estimate confidence intervals of the mean
  • Tables and cheat sheets that help you make sense of the different cases that one needs to consider in practice (and avoid mistakes often made as a result of what I call statistics-by-Googling)
  • A bunch of practical examples

My own notes

I’m still assuming that you’re building your own “perfect set of notes” as you go through this material – to make sure you have a succinct reference to help you be efficient on a test or in your future work. So, I’m sharing my own notes here with you to help with that.

My own notes

The self-assessment problems

After the lessons below you’ll find some conceptual self-assessment problems to help you make sure you’ve got the fundamental concepts down. You’ll also find some applied self-assessment problems so you can round things out by putting your new knowledge to work.

If you’re taking this course from me as part of a university class then these self-assessments problems are the best way to study. I can’t ask exactly the same questions on a test, of course, but I do commit to you that I’ve designed the problems in a way that you can expect to do as well in the formal assessments as you can do on these self-assessment questions.

So, dig into these problems either after you’ve finished looking at the material or as you go. Hustle to figure out the answers. Leave no stone unturned. Get help if you need it. As with the notes, I’m going to assume you’re building the “perfect set of reference problems” to help you be efficient in a test or to look back at in practice.

Okay, now get started by clicking through the lessons below!