Fundash and Coolsprint The designer of the courses suspects that the mean completion time of Fundash is not equal to the mean

Question

Fundash and Coolsprint The designer of the courses suspects that the mean completion time of Fundash is not equal to the mean completion time of Coolsprint To test this she selects 205 Fundash runners and 200 Coolsprint runners Consider these as random samples of the Fundash and Coolspring runners The 205 Fundash runners complete the course with a mean time of 63 6 minutes and a standard deviation of 2 8 minutes The 200 Coolsprint runners complete the course with a mean time of 63 0 minutes and a standard deviation of 2 6 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 10 level of significance is there enough evidence to support the claim that the mean completion time of Fundash is not equal to the mean completion time of Coolsprint Perform a two 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 Ho and the alternative hypothesis H H 0 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 d Find the p value Round to three or more decimal places e Can we support the claim that the mean completion time of Fundash is not equal to the mean completion time of Coolsprint OYes No X a Do X P 0 0 OSO NE 00 0 0 S 2

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