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Prices of New Mobile Homes

Prices ($1000s) of 36 Randomly Selected New Mobile Homes
67.1	68.5	58.0	56.3	63.4	61.4	55.5	74.0	61.4
67.0	72.6	63.4	56.8	67.1	62.8	56.1	48.7	73.2
50.5	56.1	69.9	59.9	65.5	65.0	55.1	51.0	53.6
56.7	76.4	77.4	60.3	73.3	57.0	70.7	64.8	77.7

A government bureau publishes annual price figures for new mobile homes. A simple random sample of 36 new mobile homes yielded the following prices, in thousands of dollars. Assume that the population standard deviation of all such prices is $8.7 thousand, that is, $8,700. Use the data to obtain a 99.7% confidence interval for the mean price of all new mobile homes.

The 99.7% confidence interval is from $ to $ (Round to the nearest dollar as needed.)