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An ethanol railroad tariff is a fee charged for shipments of ethanol on public railroads. An...

An ethanol railroad tariff is a fee charged for shipments of ethanol on public railroads. An agricultural association publishes tariff rates for​ railroad-car shipments of ethanol. Assuming that the standard deviation of such tariff rates is ​$1350 determine the probability that the mean tariff rate of 350 randomly selected​ railroad-car shipments of ethanol will be within ​$100 of the mean tariff rate of all​ railroad-car shipments of ethanol. Interpret your answer in terms of sampling error.

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