According to the norms established for a test designed to measure a person's ability to think logically, college sophomores should average 73 points. This test is given to a group of 64 college sophomores who have just completed a required course in mathematics which is supposed to sharpen their general powers of reasoning. What can one conclude about the effectiveness of the course if these students averaged 77.3 with a standard deviation of 10.8 on the test? Use a significance level of .01. 2a] What is the direction of the test? (2-TAILED or UPPER-TAILED or LOWER-TAILED ) 2h] What is the computed p-value? 2c) The null hypothesis should be rejected. ( YES or NO ) 2d] It can be concluded that the course was effective. ( YES or N0 }