Suppose a random sample of 13 recently sold houses in a certain city has a mean sales price of $300,000, with a standard deviation of $11,000. Under the Sumption that house prices are normally distributed, find a 95% confidence interval for the mean sales price of all houses in this community. Then find the lower limit and upper limit of the 95% confidence interval. Carry your intermediate computations to at least three decimal places. Round your answers to the nearest whole number.