1. A random sample of 130 healthy human body temperatures provided in the article "What's Normal? Temperature, Gender and Heart Rate" in Journal of Statistics Education, yielded an observed average of 98.25 degrees and an observed sample standard deviation of 0.73 degrees. (a) For a two-sided confidence interval, the (1)100% margin of error is defined as z/2 Standard Error of the Estimator. Compute an estimate of the 99% margin of error. (b) Compute a two-sided 99% confidence interval for the average body temperature of healthy people. State all assumptions and show all your work. (c) Compute a 99% lower confidence bound and a 99% upper confidence bound. State the associated one-sided confidence intervals. (d) Suppose you were told there was an error in the data collection process and that the random sample only consisted of 100 healthy human body temperatures with the same observed sample average and sample standard deviation. Compute the two-sided 99% confidence interval again using this new information (state all assumptions and show all your work). (e) How did your answer in part (d) differ from your answer in part (b). Why?