Question: A pharmaceutical company analyses a specimen from each batch of pain-reliever to verify the concentration of the active ingredient. Repeated measurements of the same specimen give slightly different results, because the chemical analysis is not perfectly precise. It is known, however, that repeated measurements are normally distributed, with a known standard deviation of o = 1 mg. Four analyses of one specimen provided the following concentrations of the active ingredient (in mg): 499.25 500.00 500.75 501.00

Construct an 80% confidence interval for the population mean concentration of the active ingredient.

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