Aprofessor believes the class he is teaching in the current semester is above the average of the classes he has taught. in order to test this hypothesis, he analyses the scores of midterm of all 120 students he teaches this semester. their average score of this exam is 82 out of 100, with a standard deviation of 12. the mean score of the midterm for all students that he has taught for the last thirty-two years is 78 out of 100, with a standard deviation of 15. use an alpha level of 0.01 for this analysis.

part a. what is the appropriate test? why?

I've been working on this for a few days and i just don't understand, it's due in a few hours. you.the direction of a vector is defined as the angle of the vector in relation to a horizontal line. as a standard, this angle is measured counterclockwise from the positive x-axis. the direction or angle of v in the diagram is α.part a: how can you use trigonometric ratios to calculate the direction α of a general vector v = < x, y> similar to the diagram? part bsuppose that vector v lies in quadrant ii, quadrant iii, or quadrant iv. how can you use trigonometric ratios to calculate the direction (i.e., angle) of the vector in each of these quadrants with respect to the positive x-axis? the angle between the vector and the positive x-axis will be greater than 90 degrees in each case.part cnow try a numerical problem. what is the direction of the vector w = < -1, 6 > ?