Part II: FRQS DIRECTIONS: Complete the follow free response questions as if you were taking the actual AP Statistics Exam. For questions 1-2 take about 10-12 minutes on each. Show all your work. Indicate clearly the methods you use, because you will be scored on the correctness of your methods as well as on the accuracy and completeness of your results and explanations. The U.S. speed skaters heading to the 2018 Pyeongchang Winter Olympies needed to investigate reasons for the team's poor showing at the 2014 Sochi Winter Olympics. There were many potential reasons presented to explain this poor performance, including that the U.S. speed skating team trained in Collalbo, Italy at elevation 3,792 ft but Sochi, Russia is at sea level (elevation 0 ft). (a) In the months leading up to the Sochi Olympics, the U.S. speed skaters competed in many international skating competitions to prepare for the Olympic Games. One competition was located in Salt Lake City, Utah (elevation 4,330 ft) in November 2013 and the other in Berlin, Germany (elevation 164 ft) in December 2013. For these two competitions the times for 14 athletes in the men's 1500m were recorded in both races. The difference in finish times was calculated for each athlete and summary statistics are shown below. Мean -3.37 seconds Standard Deviation Salt Lake City - Berlin 0.87 seconds E PI i. Assuming that all conditions for inference have been met, construct a 95% confidence interval for the mean difference in 1500m times between the Salt Lake City and Berlin competitions. ii. Does this interval suggest that there is a mean difference in finish times when two competitions are held at different elevations? Explain your reasoning. EPI EPI iii. Based on your conclusion in part (a-ii), which type of error, Type I or Type II is possible? Describe a consequence of this error in the context of this study.
Part II: FRQS DIRECTIONS: Complete the follow free response questions as if you were taking the actual AP Statistics Exam. For questions 1-2 take about 10-12 minutes on each. Show all your work. Indicate clearly the methods you use, because you will be scored on the correctness of your methods as well as on the accuracy and completeness of your results and explanations. The U.S. speed skaters heading to the 2018 Pyeongchang Winter Olympies needed to investigate reasons for the team's poor showing at the 2014 Sochi Winter Olympics. There were many potential reasons presented to explain this poor performance, including that the U.S. speed skating team trained in Collalbo, Italy at elevation 3,792 ft but Sochi, Russia is at sea level (elevation 0 ft). (a) In the months leading up to the Sochi Olympics, the U.S. speed skaters competed in many international skating competitions to prepare for the Olympic Games. One competition was located in Salt Lake City, Utah (elevation 4,330 ft) in November 2013 and the other in Berlin, Germany (elevation 164 ft) in December 2013. For these two competitions the times for 14 athletes in the men's 1500m were recorded in both races. The difference in finish times was calculated for each athlete and summary statistics are shown below. Мean -3.37 seconds Standard Deviation Salt Lake City - Berlin 0.87 seconds E PI i. Assuming that all conditions for inference have been met, construct a 95% confidence interval for the mean difference in 1500m times between the Salt Lake City and Berlin competitions. ii. Does this interval suggest that there is a mean difference in finish times when two competitions are held at different elevations? Explain your reasoning. EPI EPI iii. Based on your conclusion in part (a-ii), which type of error, Type I or Type II is possible? Describe a consequence of this error in the context of this study.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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