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with similar designs Since Fundash was built on rougher terrain the designer of the courses suspects that the mean completion time of Fundash is greater than the mean completion time of Coolsprint To test this she selects 270 Fundash runners and 200 Coolsprint runners Consider these as independent random samples of the Fundash and Coolspring runners The 270 Fundash runners complete the course with a mean time of 77 9 minutes and a standard deviation of 8 0 minutes The 200 individuals complete Coolsprint with a mean time of 76 0 minutes and a standard deviation of 6 9 minutes Assume that the population standard deviations of the completion times can be estimated to be the sample standard deviations since the samples that are used to compute them are quite large At the 0 01 level of significance is there enough evidence to support the claim that the mean completion time of Fundash is greater than the mean completion time of Coolsprint Perform a one tailed test Then complete the parts below Carry your intermediate computations to at least three decimal places If necessary consult a list of formulas a State the null hypothesis H and the alternative hypothesis H Ho H 0 b Determine the type of test statistic to use Choose one c Find the value of the test statistic Round to three or more decimal places 0 d Find the critical value at the 0 01 level of significance Round to three or more decimal places e Can we support the claim that the mean completion time of Fundash is greater than the mean completion time of Coolsprint OYes No 3 X a X S 2 00 P olo 0 0 OSO 020 O O 0

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