At a recent​ meeting, the manager of a national call center for a major Internet bank made the statement that the average​ past-due amount for customers who have been called previously about their bills is now no larger than ​$29.00. Other bank managers at the meeting suggested that this statement may be in error and that it might be worthwhile to conduct a test to see if there is statistical support for the call center​ manager's statement. The accompanying table contains data for a random sample of 67 customers from the call center population. Assuming that the population standard deviation for past due amounts is known to be ​$56.00​, what should be concluded based on the sample​ data? Test using .