Data Set 3 "Body Temperatures" in Appendix B includes 106 body temperatures of adults for Day 2 at 12 ²³, and they vary from a low of 96.5∘Fto a high of 99.6∘F. Find the minimum sample size required to estimate the mean body temperature of all adults. Assume that we want 98% confidence that the sample mean is within 0.1^∘Fof the population mean.

a. Find the sample size using the range rule of thumb to estimate s.

b. Assume that σ = 0.62∘F, based on the value of s = 0.62∘F for the sample of 106 body temperatures.

c. Compare the results from parts (a) and (b). Which result is likely to be better?