A simulated exercise gave n = 26 observations on escape time (sec) for oil workers, from which the sample mean and sample standard deviation are 371.15 and 23.02, respectively. Suppose the investigators had believed a priori that true average escape time would be at most 6 min. Does the data contradict this prior belief? Assuming normality, test the appropriate hypotheses using a significance level of 0.05. USE SALT
A simulated exercise gave n = 26 observations on escape time (sec) for oil workers, from which the sample mean and sample standard deviation are 371.15 and 23.02, respectively. Suppose the investigators had believed a priori that true average escape time would be at most 6 min. Does the data contradict this prior belief? Assuming normality, test the appropriate hypotheses using a significance level of 0.05. USE SALT
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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![A simulated exercise gave \( n = 26 \) observations on escape time (sec) for oil workers, from which the sample mean and sample standard deviation are 371.15 and 23.02, respectively. Suppose the investigators had believed *a priori* that true average escape time would be at most 6 min. Does the data contradict this prior belief? Assuming normality, test the appropriate hypotheses using a significance level of 0.05.
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**State the appropriate hypotheses.**
- \( H_0 : \mu = 360 \)
\( H_a : \mu < 360 \)
- \( H_0 : \mu = 360 \)
\( H_a : \mu > 360 \)
- \( H_0 : \mu = 360 \)
\( H_a : \mu \leq 360 \)
- \( H_0 : \mu = 360 \)
\( H_a : \mu \neq 360 \)
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**Calculate the test statistic and determine the P-value.** (Round your test statistic to two decimal places and your \( P \)-value to three decimal places.)
\[ t = \]
\[ P\text{-value} = \]
---
**What can you conclude?**
- Do not reject the null hypothesis. There is not sufficient evidence that true average escape time exceeds 6 min.
- Do not reject the null hypothesis. There is sufficient evidence that true average escape time exceeds 6 min.
- Reject the null hypothesis. There is sufficient evidence that true average escape time exceeds 6 min.
- Reject the null hypothesis. There is not sufficient evidence that true average escape time exceeds 6 min.
*You may need to use the appropriate table in the [Appendix of Tables](#) to answer this question.*](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc02cea10-2b20-4726-bfe2-8f9101f448fb%2Fe67c4f18-2e84-4745-8b14-e488c9c3b9f0%2Feltz8j_processed.png&w=3840&q=75)
Transcribed Image Text:A simulated exercise gave \( n = 26 \) observations on escape time (sec) for oil workers, from which the sample mean and sample standard deviation are 371.15 and 23.02, respectively. Suppose the investigators had believed *a priori* that true average escape time would be at most 6 min. Does the data contradict this prior belief? Assuming normality, test the appropriate hypotheses using a significance level of 0.05.
---
**State the appropriate hypotheses.**
- \( H_0 : \mu = 360 \)
\( H_a : \mu < 360 \)
- \( H_0 : \mu = 360 \)
\( H_a : \mu > 360 \)
- \( H_0 : \mu = 360 \)
\( H_a : \mu \leq 360 \)
- \( H_0 : \mu = 360 \)
\( H_a : \mu \neq 360 \)
---
**Calculate the test statistic and determine the P-value.** (Round your test statistic to two decimal places and your \( P \)-value to three decimal places.)
\[ t = \]
\[ P\text{-value} = \]
---
**What can you conclude?**
- Do not reject the null hypothesis. There is not sufficient evidence that true average escape time exceeds 6 min.
- Do not reject the null hypothesis. There is sufficient evidence that true average escape time exceeds 6 min.
- Reject the null hypothesis. There is sufficient evidence that true average escape time exceeds 6 min.
- Reject the null hypothesis. There is not sufficient evidence that true average escape time exceeds 6 min.
*You may need to use the appropriate table in the [Appendix of Tables](#) to answer this question.*
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