1. Independent random samples of vehicles traveling past a given point on an interstate highway have been observed on Monday versus Wednesday. For 16 cars observed on Monday, the average speed was 59.4 mph, with a standard deviation of 3.7 mph. For 20 cars observed on Wednesday, the average speed was 56.3 mph, with a standard deviation of 4.4 mph. At the 0.05 level, and assuming normal populations, can we conclude that the average speed for all vehicles was higher on Monday than on Wednesday? What is the most accurate statement that can be made about the p-value for this test?
2. A sample of 25 production employees has been tested twice on a standard test of manual dexterity. The average change in the time required to finish the test was a decrease of 1.5 minutes, with a standard deviation of 0.3 minutes. At the 0.05 level, can we conclude that the average production employee will complete the test more quickly the second time he or she takes it?