A statistics instructor keeps meticulous records of final examination grades in PSY 230 courses she has taught. The mean score for all of the final exams she has administered is 76.23 (SD = 11.45). The mean of the final examination scores from 30 randomly selected students who had just completed the course was 80.73. Using the z test and an alpha of .05two-tail, determine whether the mean score for this sample is significantly different from the mean of the population of scores she has collected