Question: In Olympic running events, preliminary heats are determined by random draw, so we should expect that the abilities of runners in the various heats to

In Olympic running events, preliminary heats are determined by random draw, so we should expect that the abilities of runners in the various heats to be about the same, on average. Here are the times (in seconds) for the 400-m women's run in the 2012 Olympics in Lon-don for preliminary heats 2 and 5. Is there any evidence that the mean time to finish is different for randomized heats? Explain. Be sure to include a discussion of assumptions and conditions for your analysis. (Use Tukey's test to compare the mean times in each heat Do your conclusions change?)

Country BOT JAM GBR Shana Cox GUY Aliann Pompey ANT Afia Charles NCA Ingrid Narvaez BAH Shaunae Miller RUS Antonina Krivoshapka UKR Alina Lohvynenko GBR Lee McConnell SWE Moa Hjelmer MAW Ambwene Simukonda FLU GRN Kanika Beckles Time Heat 50.4 2 51.052 52.0 52.1 54.25 59.55 DNF 2 50.75 5 52.085 52.23 52.865 54.2 5 56.77 5 DNS 5 Name Amantle Montsho Christine Day Danielle Alakija

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H 0 The mean time to finish is the same for heats 2 and 5 2 5 or 2 5 0 H A The mean time is not the ... View full answer

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