Españo 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 270 Fundash runners and 200 Coolsprint runners. (Consider these as independent random samples of the Fundash and Coolspring runners.) The 270 Fundash runners complete the course with a mean time of 78.2 minutes and a standard deviation of 6.4 minutes. The 200 individuals complete Coolsprint with a mean time of 76.6 minutes and a standard deviation of 7.8 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, μ₁, of Fundash is greater than the mean completion time, μ₂, of Coolsprint? Perform a one-tailed test. Then complete the parts below. 3 2 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 H₁. P Ho :D H₁:0 (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.) 0 (e) Can we support the claim that the mean completion time of Fundash is greater than the mean completion time of Coolsprint? Yes No Explanation Check 3 Ix a X S 00 0=0 OSO 0#0 OO X Ś ? Ⓒ2022 McGraw Hill LLC All Rights Reserved. Terms of Use | Privacy Center | Accessibility □□□ M
Españo 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 270 Fundash runners and 200 Coolsprint runners. (Consider these as independent random samples of the Fundash and Coolspring runners.) The 270 Fundash runners complete the course with a mean time of 78.2 minutes and a standard deviation of 6.4 minutes. The 200 individuals complete Coolsprint with a mean time of 76.6 minutes and a standard deviation of 7.8 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, μ₁, of Fundash is greater than the mean completion time, μ₂, of Coolsprint? Perform a one-tailed test. Then complete the parts below. 3 2 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 H₁. P Ho :D H₁:0 (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.) 0 (e) Can we support the claim that the mean completion time of Fundash is greater than the mean completion time of Coolsprint? Yes No Explanation Check 3 Ix a X S 00 0=0 OSO 0#0 OO X Ś ? Ⓒ2022 McGraw Hill LLC All Rights Reserved. Terms of Use | Privacy Center | Accessibility □□□ M
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
Question
How to do it please show step by step a,b,c,d, and e
.
#### Steps to Follow
**(a) State the null hypothesis \( H_0 \) and the alternative hypothesis \( H_1 \).**
\[ \begin{aligned}
H_0 : & \quad [\text{Square brackets indicate the fields to fill}] \\
H_1 : & \quad [\text{Square brackets indicate the fields to fill}]
\end{aligned} \]
**(b) Determine the type of [test statistic](https://www.educationalsite.com/resources/test-statistics) to use.**
\[ \begin{aligned}
\text{(Choose one)} & \quad [\text{Square brackets indicate the field to choose from options}]
\end{aligned} \]
**(c) Find the value of the test statistic. (Round to three or more decimal places.)**
\[ \begin{aligned}
\text{Test Statistic:} & \quad [\text{Square brackets indicate the field to fill}]
\end{aligned](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffd1b6d45-a7eb-422c-8cfa-b963b51ff783%2Fe26cefcc-080e-44c9-a4b8-e41313f829ae%2Fme2i3_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Hypothesis Testing in an Adventure Course Completion Study
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 270 Fundash runners and 200 Coolsprint runners. (Consider these as independent random samples of the Fundash and Coolsprint runners.) The 270 Fundash runners complete the course with a mean time of 78.2 minutes and a standard deviation of 6.4 minutes. The 200 individuals complete Coolsprint with a mean time of 76.6 minutes and a standard deviation of 7.8 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, \( \mu_{1} \), of Fundash is greater than the mean completion time, \( \mu_{2} \), of Coolsprint? Perform a one-tailed test and complete the parts below.
Carry your intermediate computations to at least three [decimal places](https://www.educationalsite.com/resources/decimal-place).
#### Steps to Follow
**(a) State the null hypothesis \( H_0 \) and the alternative hypothesis \( H_1 \).**
\[ \begin{aligned}
H_0 : & \quad [\text{Square brackets indicate the fields to fill}] \\
H_1 : & \quad [\text{Square brackets indicate the fields to fill}]
\end{aligned} \]
**(b) Determine the type of [test statistic](https://www.educationalsite.com/resources/test-statistics) to use.**
\[ \begin{aligned}
\text{(Choose one)} & \quad [\text{Square brackets indicate the field to choose from options}]
\end{aligned} \]
**(c) Find the value of the test statistic. (Round to three or more decimal places.)**
\[ \begin{aligned}
\text{Test Statistic:} & \quad [\text{Square brackets indicate the field to fill}]
\end{aligned
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