The historical mean for the results of a math course is 80%, with a population standard deviation of 3. This year, a new teaching method is used to teach the same course, and the average grade is 81. Based on this data, can we say that the new teaching method is better(using an alpha level of .05)? Sample Mean is an 81% out of 50 test results. Make sure you have the complete solution, from hypothesis formulation to reaching a conclusion in Excel.