The 40-hour work week is considered the standard in American society today. Imagine you wish to use data from the 2010 General Social Survey (GSS) to determine whether the mean number of hours worked per week by respondents in the sample differs from the 40- hour standard. a When 81 workers (n) were surveyed how many hours they worked in the previous week, the mean was 44.1 (x-bar) with a standard deviation of 12.8 (sx). Does this suggest that the population mean workweek for workers is different from 40 hours per week? Assume an a = .05. In answering this question, use the six steps below (copy and paste the steps in the space below, and fill in your answers to each question): 1. State the null and research hypotheses 2. State the level of significance, alpha (a) 3. Select a sampling distribution and state the test statistic 4. State the rejection region (critical test statistic) 5. Calculate the research test statistic and see if it falls in the rejection region 6. State your conclusion in terms of the problem