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Before Agreeing to Purchase a Large Order of Polyethylene Sheaths

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Before agreeing to purchase a large order of polyethylene sheaths for a particular type of high pressure oil-filled submarine power cable, a company wants to see conclusive evidence that the true standard deviation of sheath thickness is less than .05mm. What hypotheses should be tested, and why? In this context, what are the type I and type II errors?

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Let blured image denote the population standard devi...

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