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(Solved): An adventure company runs two obstacle courses, Fundash and Coolsprint. The designer of the courses ...




An adventure company runs two obstacle courses, Fundash and Coolsprint. The designer of the courses suspects that the mean co
An adventure company runs two obstacle courses, 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 250 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 71.3 minutes and a standard deviation of 3.0 minutes. The 250 Coolsprint runners complete the course with a mean time of 71.7 minutes and a standard deviation of 3.1 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 fuimulitis.)


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Here is your answer:To test whether the mean completion time of Fundash is significantly different from that of Coolsprint, we can use a two-sample t-
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