The purpose of this activity is to help give you a better understanding of the underlying reasoning behind the interpretation of confidence intervals. In particular, you will gain a deeper understanding of why we say that we are “95% confident that the population mean is covered by the interval.”
Launch the applet in a separate window.
The applet has a new look and different ways of entering the information but otherwises, works the same and still illustrates the same concepts.
When the applet loads, you see a normal-shaped distribution, which represents the sampling distribution of the mean (x-bar) for random samples of a particular fixed sample size, from a population with a fixed standard deviation of σ (sigma).
The green line marks the value of the population mean, μ (mu).