1. The default is to sample from a normal distribution. Click the sample button and 100 values will be sampled from a normal distribution. Compare the observed values in the "From a Normal Distribution" section to the expected values. Is the Chi Square test significant at the 0.05 level? How often would you expect it to be significant.

  2. Compare the observed frequencies from the "From a Uniform Distribution" section to the expected frequencies. In what way are they different? Is the difference significant? If so, then the null hypothesis that the numbers were sampled from a uniform distribution could be rejected. Of course, in this simulation, you know where the numbers were sampled so you know the null hypothesis is false.

  3. Simulate several experiments and see if the significance for the test of a uniform distribution is always significant.

  4. Make the actual distribution a uniform distribution and do more simulated experiments. Compare the results to when the actual distribution was normal.