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a company is responsible for making barrels used to store oil which are designed to hold exactly 55 gallons. as part of a routine check

a company is responsible for making barrels used to store oil which are designed to hold exactly 55 gallons. as part of a routine check 27 barrels are randomly tested. mean 54.7 gallons, sd 0.8 gallons. can it be said 99% confidence is met? assume population distribution is approximately normal

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