a manufacturer is responsible for making barrels to store crude oil for the united states which federal requirements state must hold exactly 42 gallons of oil. as part of routine quality check you randomly test 27 barrels off the assembly line and find that their mean capacity is 41.7 gallons with a standard deviation of 0.8 gallons. can you as the quality control administrator say that the requirements are being met with a 1% level of significance? (assume that the populations distribution is approximately normal)