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A plastic has a mean breaking strength 27 and a standard deviation of 6 pounds per square inch. A new process is developed and will replace the old one, provided that there is substantial evidence that it improves the strength of the product. A random sample of 40 pieces made with the new process gives a sample mean of 30 pounds per square inch.

Assuming that the variability is unchanged (i.e., σ = 6), is there sufficient evidence to suggest that the strength of the product has increased at the 1% level of significance?

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