Type I error: 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 $H_{0}: \mu=50$ versus $H_{1}: \mu> 50$.
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If a Type I error is made, what conclusion will be drawn regarding the mean breaking strength?
The conclusion will be that the mean breaking strength is (Choose one) $\quad 50$.
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Final Answer: The conclusion will be that the mean breaking strength is greater than \(\boxed{50}\).
Step 1 ：A Type I error, also known as a false positive, occurs when we reject a true null hypothesis. In this case, the null hypothesis is that the mean breaking strength of the wires is 50. If a Type I error is made, we would incorrectly reject this null hypothesis and conclude that the mean breaking strength is greater than 50.
Step 2 ：Final Answer: The conclusion will be that the mean breaking strength is greater than \(\boxed{50}\).
