Refer to this text to answer the following 4 questions. (Table: Faculty Salaries) Does the average salary of a new assistant professor differ from that of a tenured full professor? Five new assistant professors and ve tenured full professors were selected at random from a large public university. Their 20182019 salaries (in thousands of dollars) appear in the table. Perform the appropriate hypothesis test on this set of data and to make a decision. Make sure to calculate and show all formulas in your work (to upload later) so you can receive full credit for each answer. Enter your calculated test statistic (enter just the number, and report 2 decimal places). Table: Faculty Salaries Assistant professor Full professor 76 156 82 95 111 137 80 169 60 105 X X - M (X - M) 2 Y Y - M ( Y - M ) 2 76 -5.80 33.64 156 23.60 556.96 82 0.20 0.04 95 -37.40 1398.76 111 29.20 852.64 137 4.60 21.16 80 -1.80 3.24 169 36.60 1339.56 620 -21.80 475.24 105 -27.40 750.76 M = 81.80 M = 132.40 SD = 18.472 SD = 31.887