65. Olympic heats. 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. Here are the times (in seconds)

for the 400-m women’s run in the 2004 Olympics in Athens 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.

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Country Name USA BUL HENNAGAN Monique DIMITROVA Mariyana Heat Time 51.02 CHA NADJINA Kaltouma JAM DAVY Nadia BRA ALMIRAO Maria Laura FIN MYKKANEN Kirsi CHN BO Fanfang 2222222 51.29 51.50 52.04 52.10 52.53 56.01 BAH WILLIAMS-DARLING Tonique BLR USOVICH Svetlana UKR YEFREMOVA Antonina CMR NGUIMGO Mireille JAM BECKFORD Allison TOG SRI THIEBAUD-KANGNI Sandrine DHARSHA K V Damayanthi 5555555 51.20 51.37 51.53 51.90 52.85 52.87 54.58