Week 2 - Statistics Review
Content for week of Monday, January 24, 2022–Friday, January 28, 2022
Overview
Welcome to Week 2! Statistical review continues apace.
As before, what you should do this final week before the exam depends on your background:
Reading Guide (Chapter 2)
SW 2.5 Random Sampling and the Distribution of the Sample Average
- What is a sampling distribution? (just the one video)
SW 2.6 Large-sample approximations to sampling distributions
- Get that central limit theorem!
- Central Limit Theorem (just the one video)
- Sampling distribution of a sample, part I mean and part II (just the two videos, with a practice after)
Reading Guide (Chapter 3)
This is the material you should know, along with supports from Khan Academy ( ). Remember that you don’t need to memorize formulas!
SW 3.1 Estimation of the population mean
- Don’t worry too much about BLUE, we’ll come back to it. But make sure you get bias, consistency, and efficiency
SW 3.2 Hypothesis tests concerning the population mean
- KA presents confidence intervals before hypothesis tests, so if following their curruculum, start w/ confidence intervals first
- The idea behind significance tests
- Introduction to confidence intervals
- Setting up a test for a population mean (entire playlist)
- Carrying out a test for a population mean (entire playlist, except part about TI calculator)
SW 3.4 Comparing means from different populations
SKIP
This is covered in updated slides and class, but not in the lecture video below)
Only the type of two-sample test we’ve been practicing - look at difference between two means where the standard deviation is unknown and you do not assume that they come from the same underlying population distribution. Make sure you can use formulas 3.19 and 3.20
Testing for the differences of two population means