5 54.58 heats In Exercise 81, we looked at the times two different heats for the

Question

5 54.58 heats In Exercise 81, we looked at the times two different heats for the 400-m women's run from are not determined a pics. Unlike track events, swimming heats at random. Instead, swimmers are so tht better swimmers are placed in later heats. see are the times (in seconds) for the women's 400-m Here eestyl from heats 2 and 5. Do these results suggest that the mean times of seeded heats are not equal? Ex Include a discussion of assumptions and conditions for your analysis. plain. ke rdi- Name Country ARG BIAGIOLI Cecilia Elizabeth 2 256.42 SLO CARMAN Anja CHI KOBRICH Kristel MKD STOJANOVSKA Vesna JAM ATKINSON Janelle NZL LINTON Rebecca KOR HA Eun-Ju UKR BERESNYEVA Olga FRA MANAUDOU Laure PN YAMADA Sachiko ROM PADURARU Simona GER STOCKBAUER Hannah AUS GRAHAM Elka CHN PANG Jiaying CAN REIMER Brittany BRA FERREIRA Monique Heat Time 2 257.79 2 258.68 2 259.39 2 260.00 2 261.58 2261.65 2 d 266.30- 5246.76 5 249.10 5 250.39 5 250.46 5 251.67 5 251.81 5 252.33 5 253.75

Explanation / Answer

p-value < 0.05

we reject the null hypothesis

t-Test: Two-Sample Assuming Equal Variances 2 5 Mean 260.22625 250.78375 Variance 9.187769643 4.616226786 Observations 8 8 Pooled Variance 6.901998214 Hypothesized Mean Difference 0 df 14 t Stat 7.188355845 P(T<=t) one-tail 2.32419E-06 t Critical one-tail 1.761310136 P(T<=t) two-tail 4.64839E-06 t Critical two-tail 2.144786688

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