?Sample Size. In Exercises 29-36, find the sample size required to estimate the

Chapter 7, Problem 36

(choose chapter or problem)

Sample Size. In Exercises 29-36, find the sample size required to estimate the population mean.

Mean Body Temperature Data Set 3 “Body Temperatures” in Appendix B includes 106 body temperatures of adults for Day 2 at 12 am, and they vary from a low of \(96.5^{\circ} \mathrm{F}\) to a high of \(99.6^{\circ} \mathrm{F}\). 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 \(0.1^{\circ} \mathrm{F}\) of the population mean.

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

b. Assume that \(\sigma=0.62^{\circ} \mathrm{F}\), based on the value of \(s=0.62^{\circ} \mathrm{F}\) for the sample of 106 body temperatures.

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

Text Transcription:

96.5 degrees F

99.6 degrees F

0.1 degrees F

sigma=0.62 F

s=0.62 degrees F