An adventure company runs two obstacle courses, Fundash and Coolsprint. The desloner of the courses suspects that the mean completion time of Fundash IS not equal to the mean compledon time of Coolsprint, To test this, she selects 300 Fundash runners and 2130 Coolspring runners. (Consider these as random samples of the Fundash and Coolspring runners.) The ald Fundash runners complete the course with a mean time of ? 725 minutes and a standard deviation off 4.4 minutes. The 280 Coolsprint runners complete the course with a mean time of 76.7 minutes and a standard deviation of 4.9 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 0.10 level of significance, is there enough evidence to support the claim that the mean completion time, It , of Fundash is not equal to the mean completion time, In, of Coolsprint? Perform a two tallied test, Then complete the ports below. Carry your intermediate computations to at least three decimal places. (If necessary, consult a list of formulas.) () State the null hypothesis Ho and the alternative hypothesis F. H :0 (bj 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.] 0-0 0-0 08 X 5 (3) Find the two critical values at the 0.10 bevel of significance. (Round to three or more decimal places.) (g) Can we support the daim that the mean completion time of Fundash Is not equal to the mean completion time of Coolsprint? OYes No3