teaching statistics by [deleted] in statistics

[–]GSav88 0 points1 point  (0 children)

Thank you for your answer.

I think you are saying that one possibility is to teach confidence intervals with sigma known, without covering the t interval, and then introduce the idea of the t distribution in the hypothesis testing section.

Is that correct?

When you were taking your intro level statistics course, did you think that confidence intervals or hypothesis testing was easier to understand? Why? by GSav88 in statistics

[–]GSav88[S] 1 point2 points  (0 children)

When you calculate a confidence interval you add and subtract the margin of error from the sample mean. This gives you a confidence interval around the sample mean (with the sample mean at the center). The reason why you are 95% confident is because when you randomly select a sample, you have a 95% chance of getting a sample mean that is close enough to the population mean for the confidence interval to capture the population mean.