An ecologist randomly samples 13 plants of a specific species and measures their heights. He finds that this sample has a mean of 12 cm and a standard deviation of 4 cm. If we assume that the height measurements are normally distributed, find a 99% confidence interval for the mean height of all plants of this species. Give the lower limit and upper limit of the 99% confidence interval. Carry your intermediate computations to at least three decimal places. Round your answers to one decimal place. (If necessary, consult a list of formulas.) Lower limit: X Upper limit