(c) Suppose five observations are made independently on reaction time, each one for a temperature of 260°F. What is the probability that all five times are between 2.66 and 2.94 hours? (Round your answer to four decimal places.) (d) What is the probability that two independently observed reaction times for temperatures 1° apart are such that the time at the higher temperature exceeds the time at the lower temperature? (Round your answer to four decimal places.)
(c) Suppose five observations are made independently on reaction time, each one for a temperature of 260°F. What is the probability that all five times are between 2.66 and 2.94 hours? (Round your answer to four decimal places.) (d) What is the probability that two independently observed reaction times for temperatures 1° apart are such that the time at the higher temperature exceeds the time at the lower temperature? (Round your answer to four decimal places.)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Problem 1P
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PLEASE help will C) and D). WILL THUMBS UP IF CORRECT.
![**Chemical Reaction Time and Temperature Relationship**
Suppose that in a certain chemical process, the reaction time \( y \) (in hours) is related to the temperature (\(^\circ\)F) in the chamber in which the reaction takes place. This relationship is modeled by the simple linear regression equation:
\[
y = 5.40 - 0.01x
\]
with \(\sigma = 0.07\).
---
**(a)** What is the expected change in reaction time for a 1\(^\circ\)F increase in temperature? For an 11\(^\circ\)F increase in temperature?
- **1\(^\circ\)F increase:** \(-0.01\) hr
- **11\(^\circ\)F increase:** \(-0.11\) hr
---
**(b)** What is the expected reaction time when the temperature is 180\(^\circ\)F? When the temperature is 260\(^\circ\)F?
- **180\(^\circ\)F:** 3.60 hr
- **260\(^\circ\)F:** 2.80 hr
---
**(c)** Suppose five observations are made independently on reaction time, each for a temperature of 260\(^\circ\)F. What is the probability that all five times are between 2.66 and 2.94 hours? (Round your answer to four decimal places.)
[Blank space to input answer]
---
**(d)** What is the probability that two independently observed reaction times for temperatures 1\(^\circ\) apart are such that the time at the higher temperature exceeds the time at the lower temperature? (Round your answer to four decimal places.)
[Blank space to input answer]
---
This exercise helps illustrate how temperature can affect reaction times in chemical processes and the statistical methods used to predict these changes.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F90e6bfeb-bff8-474c-9f48-59323e6d17cd%2F2b93c287-d3c3-4624-9dac-0b8e8230e90a%2F5mlw108_processed.png&w=3840&q=75)
Transcribed Image Text:**Chemical Reaction Time and Temperature Relationship**
Suppose that in a certain chemical process, the reaction time \( y \) (in hours) is related to the temperature (\(^\circ\)F) in the chamber in which the reaction takes place. This relationship is modeled by the simple linear regression equation:
\[
y = 5.40 - 0.01x
\]
with \(\sigma = 0.07\).
---
**(a)** What is the expected change in reaction time for a 1\(^\circ\)F increase in temperature? For an 11\(^\circ\)F increase in temperature?
- **1\(^\circ\)F increase:** \(-0.01\) hr
- **11\(^\circ\)F increase:** \(-0.11\) hr
---
**(b)** What is the expected reaction time when the temperature is 180\(^\circ\)F? When the temperature is 260\(^\circ\)F?
- **180\(^\circ\)F:** 3.60 hr
- **260\(^\circ\)F:** 2.80 hr
---
**(c)** Suppose five observations are made independently on reaction time, each for a temperature of 260\(^\circ\)F. What is the probability that all five times are between 2.66 and 2.94 hours? (Round your answer to four decimal places.)
[Blank space to input answer]
---
**(d)** What is the probability that two independently observed reaction times for temperatures 1\(^\circ\) apart are such that the time at the higher temperature exceeds the time at the lower temperature? (Round your answer to four decimal places.)
[Blank space to input answer]
---
This exercise helps illustrate how temperature can affect reaction times in chemical processes and the statistical methods used to predict these changes.
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