A company that manufactures steel wires guarantees that the mean breaking strength (in kilonewtons) of the wires
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A company that manufactures steel wires guarantees that the mean breaking strength (in kilonewtons) of the wires is greater than 50.
They measure the strengths for a sample of wires and test H0: μ = 50 versus H1: μ > 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?
c. This test uses a one-tailed alternate hypothesis. Explain why a one-tailed hypothesis is more appropriate than a two-tailed hypothesis in this situation.
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