The breaking strengths of cables produced by a certain manufacturer have a mean, ,of 1800 pounds, and a standard deviation of 65 pounds. It is claimed that an improvement in the manufacturing process has increased the mean breaking strength. To evaluate this claim, 100 newly manufactured cables are randomly chosen and tested, and their mean breaking strength is found to be 1808 pounds. Can we support, at the 0.01 level of significance, the claim that the mean breaking strength has increased?