Data Set 18 in Appendix B shows body temperatures (in degrees Celsius) of adults accepted for voluntary surgical procedures in an urban hospital. Sample data for men are summarized by these statistics: n = 12, x- = 36.275, s = 0.561. Sample data for women are summarized by these statistics: n = 12, x- = 36.533, s = 0.365.
a. At the 0.05 significance level, test the claim that both men and women who have been accepted for voluntary surgical procedures have the same mean temperature. Use a preliminary F test to determine whether the two populations have equal variances.
b. Construct a 95% confidence interval for the difference between the two population means.