1. Click the "sample" button and examine the 100 confidence intervals. Notice if any of them do not contain 50 (do not cross the black vertical line. Count the number of 95% intervals do not cross the line. Count the number of 99% intervals that do not cross the line. Compare your results to the tally shown at the bottom of the screen.
  2. Push the "Sample" button several time and note the proportion of time the 95% and 99% confidence intervals do cross the line. Are these proportions similiar to the expected proportions of 0.95 and 0.99?
  3. Notice whether the 95% or the 99% intervals are wider.
  4. So far all your simulated experiments have been with sample sizes of 10. Change the sample size to 20. Test to see if this affects the widths of the confidence intervals. Also determne whether the proportion of the time the interval contains 50 is affected.