Eleen wants to rent an unfurnished one-bedroom apartment in Brooklyn, NY next year. The mean monthly rent for a random sample of 60 apartments advertised on Trulia website is $1400. Assume a population standard deviation of $200. a. Construct a 99% confidence interval. b. To what population of apartments can you appropriately infer from your sample in question C. a? How large a sample of one-bedroom apartments above would be needed to estimate the population mean within plus or minus $50 with 80% confidence?