The police department in your city was asked by the mayor's office to estimate the
cost of crime. The police began their study with burglary records, taking a random
sample of 500 files since there were too many crime records to calculate statistics
for all of the crimes committed. If the average dollar loss in a burglary, for this
sample size 500 is $678, with a standard deviation of $560, construct the 95%
confidence interval for the true average dollar loss in burglaries rounded to the
nearest dollar amount. We can be 95% confident that the lower limit of our
interval of dollar loss in crimes committed is $