Hemolglobin is a protein in red blood cells that carries oxygen from the lungs to body tissues. A public health official in Jordan wants to estimate the average hemoglobin level of all children in Jordan. He takes a random sample of 50 children and calculates a sample mean of 11.3 g/dl. Suppose the hemoglobin level of children in Jordan follows a normal distribution with standard deviation 1.6 g/dl. Find a 95% confidence interval for the average hemoglobin level of all Jordanian children. (Please give responses to 3 decimal places)