A bank manager wants to know the mean amount of mortgage paid per month by homeowners in an area. A random sample of 115 homeowners selected from this area showed that they pay an average of $1572 per month for their mortgages. The population Standard deviation of such mortgages is $210. Incorrect a. Find a 99% confidence interval for the mean amount of mortgage paid per month by all homeowners in this area. Round your answers to two decimal places to dollars