SAMPLING DISTRIBUTION EXAMPLE
(also available as a Mathematica cdf file)
This generates $m$ samples of $n$ uniformly distributed random integers between $0$ and $9$.
For each sample, the sample mean $\overline{x}$ is calculated.
Then, a histogram is generated of the sample means, and the mean of our sample means is displayed.
The histogram should approach a normal distribution with $\mu_{\overline{x}}$ as you take $m$ and $n$ large
(also available as a Mathematica cdf file)
This generates $m$ samples of $n$ uniformly distributed random integers between $0$ and $9$.
For each sample, the sample mean $\overline{x}$ is calculated.
Then, a histogram is generated of the sample means, and the mean of our sample means is displayed.
The histogram should approach a normal distribution with $\mu_{\overline{x}}$ as you take $m$ and $n$ large