The water works commission needs to know the mean household usage of water by the residents of a small town in gallons per day. They would like the...

The water works commission needs to know the mean household usage of water by the residents of a small town in gallons per day. They would like the estimate to have a maximum error of 0.13 gallons. A previous study found that for an average family the variance is 2.56 gallons and the mean is 15.2 gallons per day. If they are using a 99% level of confidence, how large of a sample is required to estimate the mean usage of water? Round your answer up to the next integer.