Question
What are some takeaways we should have by playing around with the sampling applet in the workspace here?
Answer
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
n
that we choose, the more the “Sample” distribution will look like a normal distribution. - Observing the mean of the “Sample” distribution, unsurprisingly
n
has an effect on the mean, but more surprising is that the “Sample” mean is about the same as the “Population” mean for all values ofn
after a certain point.