In a certain county, the mayor's office conducting a feasibility study on real estate industry. They selected a random sample of 50 selling prices of homes in a this county and found that the sample mean price was = $375,000. Assume that the population standard deviation σ is known to be $29,500. Find a 95% confidence interval for the population mean selling price of all homes in this county. (round your answers to the nearest dollar.)
Lower bound $[a]
Upper bound $[b]