According to the Organization for Economic Co-operation and Development (OECD), adults in the United States worked an average of 1,794 hours in 2007. Assume the population standard deviation is 400 hours and that a random sample of 50 U.S. adults was selected. Find the value of the sample mean that divides the upper 10% of the sampling distribution of the sample mean from the lower 90%. Provide your rationale and any supporting data.