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1. Bottled water distributors want to determine whether the contents of the 1 gallon bottle are...

1. Bottled water distributors want to determine whether the contents of the 1 gallon bottle are actually 1 gallon. It is known from the specifications of water bottling companies that the standard deviation of water content per bottle is 0.02 gallons. If a random sample of 50 bottles is chosen, and the average sample of water content per 1 gallon bottle is 0.995 gallons.
a. Is there any evidence that the average water content in bottles is not the same as 1.0 gallons? Use α = 0.01.)
b. Calculate the p-value and interpret the meaning.

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