Suppose that the lifetimes of tires of a certain brand are normally distributed with a mean of 74,500 miles and a standard deviation of a miles. These tires come with a 55,000-mile warranty. The manufacturer of the tires can adjust o during the production process, but the adjustment of a is quite costly. The manufacturer wants to set 0 once and for all so that only 2% of the tires will fail before warranty expires. Find the standard deviation to be set. Carry your intermediate computations to at least four decimal places. Round your answer to at least one decimal place. miles X

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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The image contains a problem statement related to normally distributed data of tire lifetimes. Here is the transcription of the text suitable for an educational website:

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**Problem Statement:**

Suppose that the lifetimes of tires of a certain brand are normally distributed with a mean of 74,500 miles and a standard deviation of σ miles. These tires come with a 55,000-mile warranty. The manufacturer of the tires can adjust σ during the production process, but the adjustment of σ is quite costly. The manufacturer wants to set σ once and for all so that only 2% of the tires will fail before the warranty expires. Find the standard deviation to be set. Carry your intermediate computations to at least four decimal places. Round your answer to at least one decimal place.

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**Interface Elements:**

- **Text Box:** This is where the user can input their calculated value for the standard deviation in miles.
  
- **Buttons:**
  - **Explanation:** Presumably, this button gives further details or hints on how to solve the problem.
  - **Check:** Clicking this button likely checks the entered answer against the correct solution.

There are no additional graphs or diagrams included in the image.
Transcribed Image Text:The image contains a problem statement related to normally distributed data of tire lifetimes. Here is the transcription of the text suitable for an educational website: --- **Problem Statement:** Suppose that the lifetimes of tires of a certain brand are normally distributed with a mean of 74,500 miles and a standard deviation of σ miles. These tires come with a 55,000-mile warranty. The manufacturer of the tires can adjust σ during the production process, but the adjustment of σ is quite costly. The manufacturer wants to set σ once and for all so that only 2% of the tires will fail before the warranty expires. Find the standard deviation to be set. Carry your intermediate computations to at least four decimal places. Round your answer to at least one decimal place. --- **Interface Elements:** - **Text Box:** This is where the user can input their calculated value for the standard deviation in miles. - **Buttons:** - **Explanation:** Presumably, this button gives further details or hints on how to solve the problem. - **Check:** Clicking this button likely checks the entered answer against the correct solution. There are no additional graphs or diagrams included in the image.
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