A government bureau publishes annual price figures for new mobile homes. A simple random sample of 36 new mobi homes yielded the following prices, in thousands of dollars. Assume that the population standard deviation of all such prices is $8.1 thousand, that is, $8,100. Use the data to obtain a 99.7% confidence interval for the mean price of all new mobile homes. Click the icon to view a table of prices of new mobile homes. The 99.7% confidence interval is from $ to $ (Round to the nearest dollar as needed.)

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