Change the module order, especially moving the Intro to Hyp Test and Stat Significance to the later Module.
Move directly from CLT to confidence intervals, estimating an unknown mean.
Because of the change, we can clean up the transition from Z-scores to t-scores and not do hypothesis tests at all with z.
Our first inference: CI for a mean (sigma known). Move to Sigma unknown and introduce the T-distribution in context of CIs. Then move into hypothesis tests using the t-distribution.
Module Order starting from Assessing Normality:
Central Limit Theorem Practice
Our first inference (sigma known)
Confidence Interval for proportions
T-distribution (sigma unknown), CIs
Statistical Tests 1 starting with:
One-sample t-test
Two-sample independent
...
Change the module order, especially moving the Intro to Hyp Test and Stat Significance to the later Module.
Move directly from CLT to confidence intervals, estimating an unknown mean.
Because of the change, we can clean up the transition from Z-scores to t-scores and not do hypothesis tests at all with z.
Our first inference: CI for a mean (sigma known). Move to Sigma unknown and introduce the T-distribution in context of CIs. Then move into hypothesis tests using the t-distribution.
Module Order starting from Assessing Normality:
Central Limit Theorem Practice
Our first inference (sigma known)
Confidence Interval for proportions
T-distribution (sigma unknown), CIs
Statistical Tests 1 starting with:
One-sample t-test
Two-sample independent
...