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Mathematics, 13.04.2021 01:50 kg4385649

A manufacturer makes ball bearings that have a target diameter of 5\text{ mm}5 mm5, start text, space, m, m, end text. Quality control engineers sample ball bearings from a batch to test the hypotheses H_0: \mu = 5\text{ mm}H 0 ​ :μ=5 mmH, start subscript, 0, end subscript, colon, mu, equals, 5, start text, space, m, m, end text vs. H_\text{a}: \mu \neq 5\text{ mm}H a ​ :μ =5 mmH, start subscript, start text, a, end text, end subscript, colon, mu, does not equal, 5, start text, space, m, m, end text, where \muμmu is the true mean diameter of the ball bearings in that batch. Suppose that H_0H 0 ​ H, start subscript, 0, end subscript is actually true. Which situation below would have the lowest probability of a Type I error?

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