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.

determine a 90% confidence interval for the mean price of all new mobile homes.

Data Table: (in thousands)

68.7 68.7 59.7 58.0 64.8 61.2 56.4 72.1 61.8

67.7 73.5 64.5 56.9 65.8 61.0 55.8 49.3 74.4

50.1 56.7 71.1 59.7 63.1 64.1 56.3 51.1 52.7

55.2 76.3 78.2 61.1 74.3 57.3 71.3 64.9 76.8