In Exercise 59, we looked at the times in two different heats for the 800-m mens run

Question:

In Exercise 59, we looked at the times in two different heats for the 800-m men€™s run from the 2012 Olympics. Unlike track events, swimming heats are not determined at random. Instead, swimmers are seeded so that better swimmers are placed in later heats. Here are the times (in seconds) for the women€™s 400-m freestyle from heats 3 and 5.

Do these results suggest that the mean times of heat 5 are faster than heat 3? Explain. Include a discussion of assumptions and conditions for your analysis.