1. A researcher is interested in the idea of a Protestant work ethic. She conducts a random survey on weekly hours worked by people in employment. The 3,453 Protestants in the survey work a mean of 39.360 hours per week, with a standard deviation of 13.182 hours, while the 6,044 Catholics work a mean of 42.206 hours per week with a standard deviation of 13.690 hours. a. Assuming the population variances are the same is there any evidence that Protestants work more hours than Catholics? b. Test whether the assumption of equal population variances is valid and, if necessary, redo part a assuming the population variances are different. c. Does this tell us whether the Protestant work ethic exists? Be sure to explain why or why not.