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A random sample of 83 reconstructed clay vessels from the Turquoise Ridge archaeological site indicated the standard deviation of diameters to be approximately 5.5 cm.

A random sample of 83 reconstructed clay vessels from the Turquoise Ridge archaeological site indicated the standard deviation of diameters to be approximately 5.5 cm. How many more such clay vessels must be found and reconstructed to be 95% sure that the sample mean of diameters is within 1 cm of the population mean of all such reconstructed clay vessels at this archaeological site?

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