An adventure company runs two obstacle courses, Fundash and Coolsprint, 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 250 Fundash runners and 285 Coolsprint runners. (Consider these as independent random samples of the Fundash and Coolspring runners.) The 250 Fundash runners complete the course with a mean time of 77.7 minutes and a standard deviation of 7.3 minutes. The 285 individuals complete Coolsprint with a mean time of 75.9 minutes and a standard deviation of 6.8 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 0.05 level of significance, is there enough evidence to support the claim that the mean completion time, u,, of Fundash is greater than the mean completion time, u,, 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,. H. :0 H, :0 (b) Determine the type of test statistic to use. O=0 OSO (c) Find the value of the test statistic. (Round to three or more decimal places.) O
An adventure company runs two obstacle courses, Fundash and Coolsprint, 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 250 Fundash runners and 285 Coolsprint runners. (Consider these as independent random samples of the Fundash and Coolspring runners.) The 250 Fundash runners complete the course with a mean time of 77.7 minutes and a standard deviation of 7.3 minutes. The 285 individuals complete Coolsprint with a mean time of 75.9 minutes and a standard deviation of 6.8 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 0.05 level of significance, is there enough evidence to support the claim that the mean completion time, u,, of Fundash is greater than the mean completion time, u,, 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,. H. :0 H, :0 (b) Determine the type of test statistic to use. O=0 OSO (c) Find the value of the test statistic. (Round to three or more decimal places.) O
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:An adventure company runs two obstacle courses, Fundash and Coolsprint, 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 250 Fundash
runners and 285 Coolsprint runners. (Consider these as independent random samples of the Fundash and Coolspring runners.) The 250 Fundash runners
complete the course with a mean time of 77.7 minutes and a standard deviation of 7.3 minutes. The 285 individuals complete Coolsprint with a mean time of
75.9 minutes and a standard deviation of 6.8 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 0.05 level of significance, is there enough evidence to
support the claim that the mean completion time, u,, of Fundash is greater than the mean completion time, u,, 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,.
H. :0
H, :0
(b) Determine the type of test statistic to use.
O=0
OSO
(c) Find the value of the test statistic. (Round to three or more decimal places.)
O<O
?
(d) Find the critical value at the 0.05 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?
O Yes O No
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