Refer to the Interpreting Confidence Intervals applet.

a. Use the button in the first applet to create ten 95% confidence intervals for μ.

b. Are the widths of these intervals all the same? Explain why or why not.

c. How many of the intervals work properly and enclose the true value of μ?

d. Try this simulation again by clicking the button a few more times and counting the number of intervals that work correctly. Is it close to our 95% confidence level?

e. Use the button in the second applet to create ten 99% confidence intervals for μ. How many of these intervals work properly?