Marathon Finishers Refer to the results for female marathon runners in Data Set 8 in Appendix B.

a. Find the proportion of female runners who finished the New York City marathon, then test the claim that the proportion is less than 0.5.

b. For the times of the female finishers, find the mean, median, standard deviation, describe the nature of the distribution, and identify any outliers.

c. Using a 0.05 significance level, test the claim that female finishers have a mean running time less than 5 hours.

d. Given that the male runners included in Data Set 8 have a mean time of 15,415.2 sec and a standard deviation of 3036.8 sec, use a 0.05 significance level to test the claim that the mean time of males is different from the mean time of females.

e. Identify the proportions of female runners and male runners. What is wrong with using those two sample proportions with the methods of Section 8-2 in a test of the claim that the population proportions of females and males are different?