A student wants to know if women on average run marathons more slowly than men. The student plans to test at level of significance 0.005 and collects data for 101 randomly-selected men and 101 randomly-selected women in a recent marathon. The average time for the men was 4.2 hours with standard deviation 0.69 hours. The average time for the women was 4.58 hours with standard deviation 0.7 hours The student uses the test statistic (Xw-Xm)//s/ n,+s/nm W W m Find the degrees of freedom: Find the value of the test statistic: TS = Give the P-value to five places: P=

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