An NHANES report gives data for 654 men aged 20-29 years. The BMI of these 654 men was =25.1. On the basis of this sample, we want to estimate the BMI in the population of all 23.2 million American men in this age group. Treat these data as an SRS from a Normally distributed population with standard deviation=7.2.

Suppose that we had an SRS of just 120 young men. What would be the margin of error for 90% confidence? Give your answer to four decimalplaces.