8. In a study of middle-aged Finnish men, the researchers were interested in determining whether there was a relationship between coffee consumption and white blood cell count. The white blood cell count of 77 non-coffee drinkers was compared to the white blood cell count of 351 heavy coffee drinkers. "Heavy" coffee drinking was defined as an average of 960 ml of coffee per day. The study reported that for non-coffee drinkers, the mean blood cell count was 5.2 with a standard deviation of 1.4: For the heavy coffee drinkers, the mean blood cell count was 6.0 with a standard deviation of 1.7. The blood cell counts were measured in billions per liter Is there sufficient evidence to conclude that the mean blood cell count of heavy coffee drinkers is higher than the mean blood cell count of non-coffee drinkers? Use a level of significance of 05. Show all 6 steps in the hypothesis test. (16 pts.)