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 $\mu_{\overline{x}}=4.5$ 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 $\mu_{\overline{x}}=4.5$ as you take $m$ and $n$ large