A company that manufactures steel wires guarantees that the mean breaking strength (in (mathrm{kN}) ) of the

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A company that manufactures steel wires guarantees that the mean breaking strength (in \(\mathrm{kN}\) ) of the wires is greater than 50 . They measure the strengths for a sample of wires and test \(H_{0}: \mu \leq 50\) versus \(H_{1}: \mu>50\).

a. If a type I error is made, what conclusion will be drawn regarding the mean breaking strength?

b. If a type II error is made, what conclusion will be drawn regarding the mean breaking strength?

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