The yields in metric tons per hectare of potatoes in a randomly selected sample of 10 farms in a small region are 32.1, 34.4, 34.9, 30.6, 38.4, 29.4, 28.9, 32.6, 32.9, and 44.9. Assuming that these yields are normally distributed, determine a 99% confidence interval on the population mean yield.
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