According to the American Psychological Association (APA), 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 is also the mean salary for all female members with a doctorate and a full-time teaching appointment. Salaries are obtained for a random sample of 100 women from this population, in the mean salary equals $80,100 in the step-by-step procedure, test the null hypothesis at the .05 level of significance.
Question: Specify the decision rule, using the .05 level of significance.
(1.Draw SDoM, 2.Identify critical limits/ rejection regions, 3.Choose a test statistic (z or t))