The electric cooperative needs to know the mean household usage of electricity by its non-commercial customers in kWh per day. They would like the estimate to have a maximum error of 0.12 kWh. A previous study found that for an average family the variance is 2.56 kWh and the mean is 15.5 kWh per day. If they are using a 98% level of confidence, how large of a sample is required to estimate the mean usage of electricity