A batch of machine parts is considered acceptable if the

Chapter , Problem 6.62

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A batch of machine parts is considered acceptable if the average tensile strength exceeds 41.0 x 106 N/m2 In a manufactured batch, 10 samples were tested and found to have an average strength of 41.25 x 106 N/m2, with a standard deviation of 0.30 x 106 N/m2. (a) Determine whether, with a 99% confidence level, the manufacturer can state that the product has an average strength exceeding 41.0 million N/m2 (b) Supposing that 20 samples are tested and yield the same statistics, answer the question in part (a).

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