**Text Transcription for Educational Website:****Probability Problem: Electric Tube Lifespan Analysis**Johnson Electronics Corporation manufactures electric tubes. It is known that the standard deviation of the lifespans of these tubes is 145 hours. The company's research department selects a sample of 90 such tubes, determining that the average lifespan of these tubes is 2300 hours.Question: What is the probability that this sample mean is within 22 hours of the mean lifespan of all tubes produced by this company?Please round your answer to four decimal places.\[ P = \boxed{} \]**Instructions:**- Consider using statistical methods to solve the problem.- Apply the properties of the normal distribution and standard error of the mean.

Given data: Mean (μ)= 2300 Standard deviation (σ) = 145 Sample size (n) =90

Answered: Johnson Electronics Corporation makes…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

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