To plan for the proper handling of household garbage, the city of Fredericton must estimate the mean weight of garbage discarded by households in one week. Find the sample size necessary to estimate that mean if you want to be 96% confident that the sample mean is within 2 lb of the true population mean. For the population standard deviation s, use the value of 12.46 lb, which is the standard deviation of the sample of 62 households included in Data Set 1.