Olympic heats 2012. In Olympic running events, preliminary heats are determined by random draw, so we should expect the ability level of runners in the various heats to be about the same, on average. The table gives the times (in seconds) for the 800-m men’s run in the 2012 Olympics in London for preliminary heats 1 and 3.

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.

Country Name Time Heat BOT Nigel Amos 105.9 1 BRA Fabiano Pecanha 106.3 1 ESP Luis Alberto Marco 106.9 1 USA Khadevis Robinson 107.2 1 POL Marcin Lewandowski 107.6 1 RUS Ivan Tukhtachev 109.8 1 GUM Derek Mandell 118.9 1 SUD Abubaker Kaki 105.5 3 KEN Timothy Kitum 105.7 3 KSA Abdulaziz Ladan Mohammed 106.1 3 CUB Andy González 106.2 3 GBR Gareth Warburton 107.0 3 HUN Tamás Kazi 107.1 3 GER Sören Ludolph 108.6 3 VAN Arnold Sorina 114.3 3