Refer to Data Set 2 in Appendix B. In two separate analyses, use the data in the two columns labeled "Supine." Both columns represent the temperatures of 11 subjects after they lay face up for a period of time. (In the first experiment, the subjects sat first, before lying down; in the second experiment, they stood before lying down.) For each of these two situations, test the hypothesis that the mean body temperature of all healthy adults who have been lying face up (after sitting or standing) is equal to 37.0°C. Use a 0.05 level of significance. (In the lying-after-sitting case,  = 37.02 and s = 0.215; for the lying-after-standing case,  = 36.97 and s = 0.249.) Compare your results with your answer to Exercise 9. What might this suggest about the usual assumptions about a "normal" body temperature, which does not take posture into account?
Use the traditional approach summarized. Draw a graph showing the test statistic and critical values. In each case, assume that the population has a distribution that is approximately normal and that the sample is randomly selected.