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A random sample of 20 customers at a gas station shows an average gas purchase of 13.8 gallons with a standard deviation of 1.5 gallons.

A random sample of 20 customers at a gas station shows an average gas purchase of 13.8 gallons with a standard deviation of 1.5 gallons. Find the 99% confidence interval for the population mean number of gallons purchased at this station. Assume the distribution of number of gallons purchased at this gas station is normal.

Report the margin of error to three decimal places.

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