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A sample of 544 inclusions in welds made using argon shielding averaged 0.37 μm in diameter,...

  1. A sample of 544 inclusions in welds made using argon shielding averaged 0.37 μm in diameter, with a standard deviation of 0.25 μm. A sample of 581 inclusions in welds made using carbon dioxide shielding averaged 0.40 μmin diameter, with a standard deviation of 0.26 μm. We wish to determine if the mean diameters of inclusions differ between the two shielding gases. Performing a hypothesis test yields for the difference between the two means results in a p-value that is nearly _____________.

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