Sample Size Using Sample Data Refer to Data Set 16 in Appendix: Data Sets and find the maximum and minimum earthquake magnitudes, then use those values with the range rule of thumb to estimate s. How many earthquakes must you randomly select if you want to be 95% confident that the sample mean magnitude is within 0.2 of the true population mean m?

The standard deviation of the 50 earthquake magnitudes in Data Set 16 is 0.587. Find the required sample size by using the standard deviation of the sample as an estimate of s. Which of the two results is likely to be better?