The manager of a grocery store wants to determine whether the amount of water contained in 1-gallon bottles purchased from a nationally known manufacturer actually averages 1 gallon. It is known from the specifications that the standard deviation of the amount of water is equal to .02 gallon. A random sample of 32 bottles is selected, and the mean amount of water per 1-gallon bottle is found to be .995 gallon. Calculate a confidence interval to test the hypotheses at α = .001 and determine whether the specifications are being met.
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