The heights (measured in inches) of men aged 20 to 29 follow approximately the normal distribution with a standard deviation of 2.8 inches. A random sample of 16 American men aged 20 to 29 yields a sample mean of 70.8 inches. Find a 90% confidence interval for the average height of all American men between the ages of 20 and 29. (Please give responses to 3 decimal places)