If we use the body temperatures from 8 a.m. on Day 2 as listed in Data Set 3 in Appendix B, we get the statistics given in the accompanying table. Use these data with a 0.01 significance level to test the claim that Women have a higher mean body temperature than Men.
Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Do the following:
a. Test the given claim using the P-value method or critical value method.
b. Construct a confidence interval suitable for testing the given claim.