Question: The police department in your city was asked by the mayor's office 10 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 the crimes committed.

1. If the average dollar loss in a burglary. for this sample of size 500 , is $678. with a standard deviation of $560, construct the 95 percent confidence interval for the true average dollar loss in burglaries.
2. An assistant to the mayor, who claims to understand statistics. complains about your confidence interval calculation. She asserts that the dollar losses from burglaries are not normally distributed, which in turn makes the confidence interval calculation meaningless Assume that she is correct about the distribution of money loss. Does that imply that the calculation of a confidence interval is not appropriate? Why or why not?

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