1. The health of the bear population in Yellowstone National Park is monitored by periodic measurements taken from anesthetized bears. A sample of 54 bears gave a mean weight of 181.9 pounds. Assuming that the standard deviation for all bear weights in Yellowstone National Park is 12.8 pounds, use a 6% significance level to test the claim that the average weight of all bears in this park is more than 180 pounds.