Refer to Data Set 2 in Appendix B. Use the paired data consisting of the body temperatures of "initially standing" subjects in the standing posture (column STANDI) and after lying down (column SUPINE2).
a. Construct a 95% confidence interval for the mean difference of the STANDI temperatures minus the SUPINE2 temperatures.
b. Using a 0.05 significance level, test the claim that for those temperatures the mean difference is 0. Based on the result, do the body temperatures in the two postures appear to be about the same?