To explore how unemployment compensation returns money to the economy, the state of Washington annually conducts a study of household expenditures for claimants who received unemployment compensation from the state. In a recent study, a random sample of 1049 claimants was surveyed from a population of approximately 350,000 people who had received unemployment benefits during the year. Average household expenditure for the sample during the month of June was $2,754.If the sample standard deviation for June household expenditures in the sample was $243, show the 99% confidence interval estimate of average June expenditures for the population of 350,000 claimants.