In deciding whether to attend university, many students are influenced by the increased earnings potential that a university degree is likely to create. A recent census study by Statistics Canada shows that the mean annual income of high-school graduates is $22,846, whereas the mean annual income of university graduates is $42,054. Find the sample size necessary to estimate next year's mean annual income of university graduates. Assume that you want 94% confidence that the sample mean will be within $1000 of the true mean, and assume that the population standard deviation is estimated to be $32,896.