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.

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Please help me with these FRQ questions. I am not so clear with it. Thank you.

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 Olympics 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
Standard Deviation
Salt Lake City - Berlin
-3.37 seconds
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.
E PI
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.
E PI
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.
Transcribed Image Text: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 Olympics 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 Standard Deviation Salt Lake City - Berlin -3.37 seconds 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. E PI 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. E PI 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.
(b) The completion times for 15 athletes who competed in both the Berlin event and in the 1500m
final at the Sochi Olympics (two cities with similar elevation) were also compared and the
difference in finish times (Berlin – Sochi) was calculated for each athlete. From this data, a 95%
confidence interval for the mean difference in 1500m times between the Berlin and Sochi
competitions is 0.16 + 0.68 seconds.
i. Assuming that all conditions for inference have been met, does this interval suggest
that there is a difference in mean finish times when two competitions are held at
similar elevations? Explain your reasoning.
E PI
EPI
ii.
The power of this inference test was calculated to be 0.391. Interpret this value in
context.
E PI
iii.
What can be done to increase the power of the inference test? Explain your reasoning
сan
Transcribed Image Text:(b) The completion times for 15 athletes who competed in both the Berlin event and in the 1500m final at the Sochi Olympics (two cities with similar elevation) were also compared and the difference in finish times (Berlin – Sochi) was calculated for each athlete. From this data, a 95% confidence interval for the mean difference in 1500m times between the Berlin and Sochi competitions is 0.16 + 0.68 seconds. i. Assuming that all conditions for inference have been met, does this interval suggest that there is a difference in mean finish times when two competitions are held at similar elevations? Explain your reasoning. E PI EPI ii. The power of this inference test was calculated to be 0.391. Interpret this value in context. E PI iii. What can be done to increase the power of the inference test? Explain your reasoning сan
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