College Statistics Quiz
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HYPOTHESIS TESTING
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A quality control engineer is testing whether the mean diameter of a manufactured bolt is equal to a target of 20 mm. The null hypothesis is H0:μ=20H_0: \mu = 20 and the alternative is Ha:μ≠20H_a: \mu \neq 20. From past data, the population standard deviation is known to be σ=0.4\sigma = 0.4 mm. A sample of n=64n=64 bolts will be taken. If the engineer sets the significance level to α=0.10\alpha = 0.10, what is the decision rule in terms of the sample mean diameter, xˉ\bar{x}?
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