At your part-time job in the office, your manager requested that you examine all accounts receivable of the company, and then to take a random sample of them to provide her with estimates of the population values useful for decision making. You considered a random sample of 44 of the accounts and obtained a mean of $151.24 and a standard deviation of $46.24. Assuming normality for the distribution of amounts in the accounts receivable, estimate the lower end point in a 96% confidence interval for the total amount of the 770 accounts of the company.