Word Count : 476

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To test whether the claim of the supplier that their castings have heavier hardness is tenable, we will conduct a hypothesis test. The purchase manager is dealing with a normal distribution of casting hardness, with a known population mean (µ) of 20.25 and a standard deviation (σ) of 2.5. The manager takes a sample of 100 castings, and the sample mean hardness (x̄) is 20.50. We will test whether the sample mean is significantly different from the population mean.

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