Refer to the Interpreting Confidence Intervals applet.

a. Use the button to create one hundred 95% confidence intervals for μ. How many of the intervals work properly and enclose the true value of μ?

b. Repeat the instructions of part a to construct 99% confidence intervals. How many of the intervals work properly and enclose the true value of μ?

c. Try this simulation again by clicking the button a few more times and counting the number of intervals that work correctly. Use both the 95% and 99% confidence intervals. Do the percentage of intervals that work come close to our 95% and 99% confidence levels?