Nine Australian soldiers were subjected to extreme conditions, which involved a 100- min walk with a 25-lb pack when the temperature was 40°C (104°F). One of them overheated (above 39°C) and was removed from the study. Here are the rectal Celsius temperatures of the other eight at the end of the walk (“Neural Network Training on Human Body Core Temperature Data,” Combatant Protection and Nutrition Branch, Aeronautical and Maritime Research Laboratory of Australia, DSTO TN-0241, 1999):

a. Compute the t-based confidence interval of the population mean μ.
b. Check for the validity of part (a).
c. Use software to generate a bootstrap sample of means. Create a histogram of the resulting x̅* values.
d. Use the standard deviation for part (c) to get a 95% bootstrap t confidence interval for μ. Based on the histogram in part (c), is this CI valid?
e. Use part (c) to form the 95% confidence bootstrap percentile interval for μ.
f. Compare the intervals and explain your preference.

g. Based on your knowledge of normal body temperature, would you say that body temperature can be influenced by environment?

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