According to the 2015 annual report of the American Psychological Association's on salaries in psychology. The average salary for those working in a teaching position was $71,471, with a standard deviation of $24,703. A group of 10 faculty members teaching at large research universities had an average salary of $112,370, with a standard deviati of $65,319. Did the average salary of these faculty members differ from that of all teachers of psychology as a whole? To answer this question, a) find the z statistic and b determine if you reject or fail to reject the null hypothesis. (Hint: this can be tricky- one of these $ amounts you will NOT use- important to understand difference between sample and population and understand what symbols/variables are in the equation you a using)