In a discussion of the education level of the American Workforce, someone says "The average young person can't even balance a checkbook." The National Assessment of Educational Progress (NAEP) says that a score of 275 or higher on its quantitative test reflects the skill needed to balance a checkbook. The NAEP random sample of 840 young men had a mean score of x-bar = 272, a bit below the checkbook-balancing level. Assume that sigma = 60, choose an alpha level, and perform a hypothesis test to determine whether this is good evidence to conclude that the mean score for all young men is less than 275.