[AP Statistics] 10.1a Estimating a Population Mean

What was your score on the quiz?

The average score on this quiz is 35. Do you think AP Statistics students are better at this quiz than the average person?

Go to the following link:

https://www.rossmanchance.com/applets/2021/confsim/ConfSim.html

Choose Statistic: Means

Enter the 35 as the true mean of the population and 10 as the true standard deviation of the population.

Enter 20 as the sample size

Simulate 10 intervals by clicking sample

These confidence intervals are created using the method "Z with sigma", meaning the population SD was used.

Since we wouldn't know the population SD usually, we would replace it with S, the standard deviation of our sample. Change the method to "Z with S" to show the confidence intervals calculated with this method.

What changed about the confidence intervals? Feel free to switch back and forth a few times between z with sigma and z with s.

Choose "Z with Sigma" and simulate 10,000 confidence intervals. At the bottom, it should show you what percentage of these confidence intervals include the true population mean.

Do the same with "Z with S". What did you notice about these percentages as compared with the confidence level of the intervals (95%)?

Increase the sample size n to 100

How do the differences between the two methods (Z with sigma and Z with s) change when the sample size is larger?

Round the nearest Thousandths

Round the nearest Thousandths

Explain

Explain

Are there any problems above that you would like to go over in class? Indicate the question numbers below (Numbers refer to the Formative question number). I'll try to cover anything that is highly requested.