An ecologist randomly samples 19 plants of a specific species and measures their heights. He finds that this sample has a mean of 15 cm and a standard deviation of 3 cm. If we assume that the height...

An ecologist randomly samples 19 plants of a specific species and measures their heights. He finds that this sample has a mean of 15 cm and a standard deviation of 3 cm. If we assume that the height measurements are normally distributed, find a 95% confidence interval for the mean height of all plants of this species. Then find the lower limit and upper limit of the 95% confidence interval.

Carry your intermediate computations to at least three decimal places. Round your answers to one decimal place.