Automated teller machines must be stocked with enough cash to satisfy customers making withdrawals over an entire weekend. At one branch, a random sample of the total withdrawals on 36 weekends showed a sample mean of $8,400. Suppose that the branch manager has always claimed the average total withdrawal over the weekend is $7,500. On the basis of the sample taken, is there evidence to suggest that the bank manager's claim about the true average total withdrawal per weekend is too low? You may assume the population data are normally distributed, and that the standard deviation is $3,700.