What are some takeaways we should have by playing around with the sampling applet in the workspace here?
By entering a number
n into the box for “Number of Samples”, we notice that the graph labeled “Sample” shows exactly
n small boxes. These boxes are the result of taking a sample and then plotting its mean.
Our key takeaways from playing around with this applet are that
- The larger the value of
nthat we choose, the more the “Sample” distribution will look like a normal distribution.
- Observing the mean of the “Sample” distribution, unsurprisingly
nhas an effect on the mean, but more surprising is that the “Sample” mean is about the same as the “Population” mean for all values of
nafter a certain point.