and a sample standard deviation equal to 4.1.

a. Find an approximate 95% confidence interval for m.

b. What do you mean when you say that a confidence coefficient is .95?

c. Find an approximate 99% confidence interval for m

a. Using n = 30, run the applet several times without clearing. What happens to the proportion of 95% confidence intervals that contain the mean as you run the applet more and more? What happens to the proportion of 99% confidence intervals that contain the mean as you run the applet more and more? Do the proportions seem to be approaching the values that you would expect?

b. Clear and run the applet several times using n = 100. What happens to the proportions of 95% confidence intervals and 99% confidence intervals that contain the mean this time? How do these results compare with your results in part a?

c. Clear and run the applet several times using n = 1,000. How do the results compare with your results in parts a and b?

d. Describe the effect of sample size on the likelihood that a confidence interval contains the mean for a skewed distribution.