An adventure company runs two obstade courses, Fundash and Coolsprint, with similar designs. Since Fundash was built on rougher terrain, the designer of the courses suspects that the mean completion time of Fundash is greater than the mean completion time of Coolsprint. To test this, she selects 210 Fundash
runners and 265 Coolsprint runners. (Consider these as independent random samples of the Fundash and Coolspring runners.) The 210 Fundash runners
complete the course with a mean time of 77.9 minutes and a standard deviation of 6.4 minutes. The 265 individuals complete Coolsprint with a mean time of
76.6 minutes and a standard deviation of 8.1 minutes. Assume that the population standard deviations of the completion times can be estimated to be the
sample standard deviations, since the samples that are used to compute them are quite large. At the 0.05 level of significance, is there enough evidence to
support the daim that the mean completion time, Hy, of Fundash is greater than the mean completion time, py, of Coolsprint? Perform a one-tailed test. Then
complete the parts below.