81. Running heats London In Olympic running events, preliminary heats are determined by random draw, so we should expect 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 London 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

(Note: One runner in heat 2 did not finish and one runner in heat 5 did not start.). 

(*Use a randomization test to test the difference. Do your conclusions change?)