1. A group of statistics students recently stated that one of the difficulties they had with learning statistics was the time of day the class was offered. This particular statistics class had always been offered at 3:30 PM, and the students stated that they learned better in the morning. To test this hypothesis, the instructor offered a 10 AM section. The morning class was given the same final examination that had always been used in the class. The instructor knew that the previous classes had an average score of 33 on the final. The 20 students in the AM section earned an average score of 38, with a standard deviation of 2.2. Were these student's scores significantly different than the population?
2. The data below provide scores from a test taken by ten undergraduate students in statistics this semester. Typically students are given this test at the end of each semester. In the population of students, the mean on this test is equal to 50. Do the ten scores in this sample significantly differ from the population mean?

Scores:

63, 56, 47, 48, 52, 51, 58, 55, 41, 47