What is 12% **Problem 20: Acrotime Watch Lifespan Analysis**Acrotime is a manufacturer of quartz crystal watches. Acrotime researchers have determined that the watches have an average lifespan of **28 months** before certain electronic components begin to deteriorate, causing the watch to become unreliable. The standard deviation of watch lifetimes is **4 months**, and the distribution of lifetimes is normal.**Questions:****(a)** If Acrotime guarantees a full refund on any defective watch for **2 years** (24 months) after purchase, what percentage of total production will the company expect to replace? (Round your answer to two decimal places.)- **Answer:** 15.87 %**(b)** If Acrotime does not want to make refunds on more than **12%** of the watches it produces, how long should the guarantee period be (to the nearest month)?- **Answer:** 26 months**Guidance for Understanding:**- Use statistical tools like Z-scores to determine the proportion of watches falling below a certain life expectancy.- Utilize statistical tables or software to find percentages related to normal distribution.- Modify guarantee periods based on desired refund rates and observed watch lifespan statistics. **Interactive Help:**- Buttons available for further understanding: "Read It," "Master It."- Options to submit answers.**Note:** This problem is designed to develop understanding of basic statistics concepts and their application in real-world scenarios such as manufacturing and quality assurance.

Name: What is 12% **Problem 20: Acrotime Watch Lifespan Analysis**Acrotime i
Uploaded: 2024-03-20T07:06:41.000Z
Channel: Bartleby
Description: What is 12% **Problem 20: Acrotime Watch Lifespan Analysis**Acrotime is a manufacturer of quartz crystal watches. Acrotime researchers have determined that the watches have an average lifespan of **28 months** before certain electronic components beg