(3 pts) (3 PS) 6. Use the samples to construct a 95% confidence interval for the population mean completion time of all runners. How do your results differ from those in number 4? Explain. a. (8 points) (4pm) 7. Based on the 95% confidence intervals found in number 4, do you think that the men's mean completion time and the women's mean completion time could be the same? Explain why you believe that. (6pm) 8. Using the values that you found in numbers 1 and 2, perform the following hypothesis test. At a 10% significance level, test the claim that the women's mean completion time is greater than (the men's mean completion time from 1a). a. Ho: Ha: Label the claim. (6pts) b. What type of test will you use? (Z-Test, T-test, or 1-ProZTest) (4 pts) c. Where is the rejection region? (Left-tailed, Right-tailed, Two-tailed test) (4 pts) d. Find the critical value(s). or = 0.10 (5 pts)