Athletes are interested to know whether their Transition 1 time from swim to bike in a sprint triathlon is the same as in a super sprint triathlon. Consider the 2013 male triathletes who competed in...



Athletes are interested to know whether their Transition 1 time from swim to bike in a sprint triathlon is the same as in a super sprint triathlon. Consider the 2013 male triathletes who competed in both the Individual Sprint Triathlon (sprint) and in the Team Relay Triathlon (super sprint) as a sample of all male triathletes. Details of their race times can be found in the Excel sheet “2013 Men Sprint & Super Sprint”. (Hint: The athlete’s individual performance in a Team Relay is their Super Sprint data.)


a) Consider the differences for Transition 1 times between a sprint triathlon and a super sprint triathlon. (Hint: The sample data are matched pairs. Explain why.) Find the sample mean and sample standard deviation for the differences.



b) Is there enough evidence at the 10% significance level to conclude that the average Transition 1 time is different in a sprint than in a super sprint? (Hint: Use the results of a) and apply the t-test for difference of population means.) Provide a possible explanation for the difference you did or did not observe.



c) Estimate, with 90% confidence, the population mean difference in Transition 1 times between a sprint and super sprint. Interpret the result. (Hint: Use the results of a) to construct a confidence interval estimate using the t-distribution.)






















































































































































































































































































































































































































































































































































































































































Athlete InformationSprintSuper Sprint (Individual Result from Team Relay)
YearFirstLastP/TPlaceTotal TimeSwimTransition 1BikeTransition 2RunPlaceTotal TimeSwimTransition 1BikeTransition 2Run
2013WillAllanNS231:01:140:11:030:00:500:32:330:00:370:16:1190:20:490:03:590:00:370:10:290:00:410:05:04
2013CooperBentleyAB130:58:500:09:370:00:420:31:130:00:370:16:4130:20:160:03:140:00:360:10:400:00:380:05:01
2013RobertBigsbySK50:56:150:08:520:00:420:29:410:00:340:16:2650:19:320:03:070:00:330:10:210:00:380:04:55
2013ReidBurrowsNB150:59:050:09:100:00:450:30:200:00:380:18:1280:20:000:03:070:00:340:10:040:00:400:05:37
2013AustenForbesON70:56:420:08:550:01:050:30:180:00:360:15:4820:19:430:03:150:00:360:10:310:00:370:04:45
2013ConnorForemanBC100:57:300:08:480:00:470:29:390:00:390:17:3760:20:070:03:080:00:360:10:390:00:400:05:06
2013ConorGillespie-FriesenNS30:55:350:08:510:00:410:29:440:00:360:15:4390:19:100:02:590:00:360:09:590:00:380:05:00
2013PeterGregoryNL241:01:330:09:010:01:000:31:330:00:440:19:1570:21:330:03:180:00:480:11:030:00:500:05:37
2013XavierGrenier-TalaveraQC10:55:130:08:460:00:450:29:410:00:340:15:2710:18:520:03:050:00:340:09:530:00:380:04:45
2013DarianHoleMB160:59:120:09:320:00:510:31:080:00:380:17:0340:20:500:03:300:00:400:10:360:00:480:05:17
2013SeanHooperSK211:01:000:09:460:00:510:31:440:00:370:18:0250:21:070:03:410:00:380:10:470:00:450:05:17
2013AidanKatzSK251:02:170:08:590:00:540:32:280:00:380:19:1850:20:490:03:150:00:340:10:580:00:390:05:24
2013CarstenLapointeBC190:59:560:09:330:00:480:31:110:00:350:17:4960:20:510:03:370:00:360:10:500:00:380:05:12
2013FrancisLefebvreQC80:56:510:08:530:00:400:29:390:00:340:17:0510:19:400:03:220:00:340:10:220:00:380:04:47
2013AlexisLepageQC110:57:450:08:470:00:460:30:470:00:370:16:4810:19:560:03:080:00:370:10:090:00:440:05:21
2013AlexanderMacKayPEI221:01:090:09:100:00:440:30:220:00:420:20:11100:21:220:03:100:00:340:11:340:00:390:05:27
2013TylerMislawchukMB20:55:260:08:460:00:450:29:410:00:330:15:4140:19:020:03:010:00:350:09:530:00:380:04:56
2013AronMohammadiON140:58:580:09:050:00:390:30:350:00:390:18:0020:20:130:03:140:00:370:10:450:00:390:05:00
2013AlexNeufferPEI261:02:400:11:250:00:580:32:460:00:430:16:48100:21:040:04:020:00:390:10:590:00:430:04:44
2013JerichoO'ConnellBC201:00:240:09:350:00:550:31:490:00:390:17:2660:21:060:03:300:00:400:10:420:00:570:05:19
2013RussellPennockAB60:56:240:08:500:00:550:30:340:00:370:15:2830:19:210:03:050:00:370:10:210:00:350:04:45
2013JohnPexmanAB170:59:170:09:250:00:570:30:430:00:570:17:1530:20:200:03:250:00:370:10:250:00:400:05:15
2013MartinSobeyPEI271:03:180:10:150:01:020:33:080:00:370:18:16100:22:180:03:580:00:410:11:480:00:380:05:14
2013PatrickStewartNS291:06:540:11:260:00:570:33:530:00:430:19:5590:24:330:03:440:00:450:12:260:00:460:06:53
2013PaulTremblayNB301:07:290:11:430:00:580:34:380:00:420:19:2880:21:180:04:090:00:380:10:320:00:410:05:21
2013RileyUngerMB120:58:070:08:490:00:490:29:380:00:440:18:0740:20:210:03:170:00:360:10:130:00:390:05:38
2013CharlesWaughNB281:05:500:09:310:01:200:34:250:00:460:19:4880:22:510:03:360:00:400:12:040:00:480:05:44
2013MartyWhelanNL90:57:260:08:460:00:500:29:390:00:380:17:3370:19:560:03:020:00:340:09:580:00:430:05:42
2013NathanWilsonNL180:59:230:09:210:00:440:31:200:00:410:17:1770:21:090:03:290:00:380:10:410:00:570:05:26
2013MylesZagarON40:56:040:08:460:00:450:29:420:00:390:16:1220:19:440:03:040:00:340:09:540:00:410:05:34
Jun 07, 2022
SOLUTION.PDF
SOLUTION.PDF

Get Answer To This Question

Related Questions & Answers

More Questions »

Submit New Assignment

Copy and Paste Your Assignment Here
Have files?