I am confused how to answer this question! What formula do I use? And what is a random test?

1 82. Swimming heats London In Exercise 81, we looked at the times in two different heats for the 400-m women'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 across (in seconds) for the women's 400-m freestyle from heats 2 and fidence 5. Do these results suggest that the mean times of seeded heats are not equal? Explain. Include a discussion of assumptions and owed conditions for your analysis. 12 5um- (*Use a randomization test to test the difference. Do your con- clusions change?) Country Name Time Heat BUL Nina Rangelova 251.7 2 CHI Kristel Kobrich 252.0 JPN Aya Takano 252.3 NN NN LIE Julia Hassler 253.0 rkable MEX Susana Escobar 254.8 imes. THA Nathanan Junkrajang 256.5 eat SIN Lynette Lim 258.6 UNNN How KOR Kim Ga-Eul 283.5 FRA Camille Muffat 243.3 USA Allison Schmitt 243.3 imi- NZL Lauren Boyle 243.6 5 expect DEN Lotte Frils 244.2 same, ESP Melanie Costa 246.8 wom- AUS Bronte Barratt heats HUN 248.0 15 Boglarka Kapas RUS 250.0 Elena Sokolova 252.2