Data Set 21 “Earthquakes” in Appendix B includes the depths (km) of the sources of 600 earthquakes. Use technology for the following.
a. Find the mean and standard deviation of the 600 depths.
b. Generate a histogram and normal quantile plot of the 600 depths. Does it appear that the depths are from a population having a normal distribution? Explain.
c. In obtaining a 95% confidence interval estimate of the depth of all earthquakes, are the requirements for using a t distribution satisfied? Explain.
d. Find a 95% confidence interval estimate of the depth of all earthquakes using the t distribution.
e. Find a 95% confidence interval estimate of the depth of all earthquakes using 1000 bootstrap samples.
f. Compare the results from parts (d) and (e). Which confidence interval is likely to be better? Why?