Please answer the questions below.

2. (15 points) According to the American Psychological Association, members with a doctorate and a full-time teaching appointment earn, on the average, $82,500 per year, with a standard deviation of $6,000. An investigator wishes to determine Whether $82,500 also describes the mean salary for all female members with a doctorate and a full-time teaching appointment. Salaries are obtained from a random sample of 100 women from his population and the mean salary equals $80,100. Test the null hypothesis at the 0.05 level of signicance. A. What is the research problem? B. State H0: C. State HA: D. Is this a one- or two-tail test? Why? E. What is/are the critical value(s)? F. What is the decision rule? G. Calculate the statistic (below): Formula: Z = X_}; GNn H. What is your decision regarding HO and Why? 1. Interpretation of the results