We are going to take a look at the 2016 Rio Olympics men and women 10000-meter competition. All the times for the participant's times are given to you in minutes. You should leave the times in minutes and round to the nearest thousandth when needed. Assume the populations are normally distributed.

F\" n... uuu-u nun-lulu. b. female runners. Use the samples to nd the sample standard deviation of the completion times for the a. male runners. b. female runners. Find a point estimate for the mean completion time of the a. male runners. b. female runners. Construct a 95% condence interval for the population mean completion time of the a. male runners. b. female runners. Interpret the results of number 4. Use the samples to construct a 95% condence interval for the population mean completion time of all runners. How do your results differ from those in number 4? Explain. Based on the 95% condence 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\"?I Explain why you believe that. Using the values that you found in numbers 1 and 2, perform the following hypothesis test. At a 19% signicance level, test the claim that the women's mean completion time is greater than (the men's mean completion time}. A trainer decides to do a study because he wants to estimate the population mean completion times for both male and female runners within U4 minute {0.25 minute). How many runners of each sex does he need for his study? Determine the minimum sample size required to construct a 99% condence interval for the population mean completion times of a. male runners. Assume the population standard deviation is 0.64 minutes. b. female runners. Assume the population standard deviation is 1.12 minutes. \f\fModule 4 Project Answer Sheet Use space to the right to Show any.' work. 1. a. {3 points) b. {3 points) 2. a. {3 points) b. {3 points) 3. a. {3 points) b. {3 points) 4. a. {5 points) b. {5 points) 5. \fa. 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). a = 0.10 (5 pts) e. What is the value of the standardized test statistic? (5 pts) f. What is your p-value? (5 pts) g. What is your decision? (Reject Ho or Fail to Reject Ho) (5 pts) h. Write your conclusion. There (is/is not) enough evidence to (support/reject) the claim that (6 points) 9. a (4pts) b. (4pts)CASE STUDY: 10000 METER RACE AT THE 2016 Rio OLYMPICS In this project, we are going to take a look at the 2016 Rio Olympics men and women WOOD-meter competition. All the times for the participant's times are given to you in minutes. You should leave the times in minutes and round to the nearest thousandth when needed. Assume the populations are normally distributed. 1. Use the samples to nd the mean completion time at the for the a. male runners. b. female runners. 2. Use the samples to nd the sample standard deviation of the completion times for the a. male runners. b. female runners. 3. Find a point estimate for the mean completion time of the a. male runners. b. female runners. 4. Construct a 35% condence interval for the population mean completion time of the a. male runners. b. female runners. 5. Interpret the results of number 4. . Use the samples to construct a 95% condence interval for the population mean completion time of all runners. How % the results differ from those in number 4? Explain. 7'. Based on the 95% condence 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. 8. Using the values that you found in numbers 1 and 2, perform the following hypothesis test. At a 10% signicance level, test the claim that the women's mean completion time is greater than (the men's mean completion time}. B. A trainer decides to do a study because he wants to estimate the population mean completion times for both male and female runners within 1M minute {0.25 minute). How many runners of each sex does he need for his study? Determine the minimum sample size required to CD