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 265 Fundash runners and 280 Coolsprint runners. (Consider these as random samples of the Fundash and Coolspring runners.) The 265 Fundash runners complete the course with a mean time of 77.5 minutes and a standard deviation of 4.7 minutes. The 280 Coolsprint runners complete the course with a mean time of 76.7 minutes and a standard deviation of 4.6 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, µ1, of Fundash is not equal to the mean completion time, u, 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.)
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 265 Fundash runners and 280 Coolsprint runners. (Consider these as random samples of the Fundash and Coolspring runners.) The 265 Fundash runners complete the course with a mean time of 77.5 minutes and a standard deviation of 4.7 minutes. The 280 Coolsprint runners complete the course with a mean time of 76.7 minutes and a standard deviation of 4.6 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, µ1, of Fundash is not equal to the mean completion time, u, 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.)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Topic Video
Question
| (a) | State the null hypothesis
H0
H1
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H0:
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H1:
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| (b) | Determine the type of test statistic to use. | |
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| (c) | Find the value of the test statistic. (Round to three or more decimal places.) | |
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| (d) | Find the p-value. (Round to three or more decimal places.) | |
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| (e) | Can we support the claim that the mean completion time of Fundash is not equal to the mean completion time of Coolsprint? | |
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Transcribed Image Text: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 265 Fundash runners and 280 Coolsprint runners. (Consider these as random
samples of the Fundash and Coolspring runners.) The 265 Fundash runners complete the course with a mean time of 77.5 minutes and a standard deviation of
4.7 minutes. The 280 Coolsprint runners complete the course with a mean time of 76.7 minutes and a standard deviation of 4.6 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, µ, of Fundash is not equal
to the mean completion time, l, 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.)
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