Is "academic frustration" related to major? A college dean believes that students with different majors may experience different levels of academic frustration. Random samples of size 35 of Business, English, Mathematics, and Psychology majors are asked to rate their level of academic frustration on a scale of 1 (lowest) to 20 (highest). Below we present two possible scenarios for our example. In both cases, we construct side-by-side boxplots for four groups of frustration levels that have the same variation among their means. Thus, Scenario #1 and Scenario #2 both show data for four groups with the sample means 7.3, 11.8, 13.2, and 14.0 (indicated with red marks). Boxplots of Frustration by Major Scenario #1 20 10- Business- Engleh Psychology Boxplots of Frustration by Major Scenario #2 20 Scenario #1 20 10 - English - Psychology Mathematics Business Boxplots of Frustration by Major Scenario #2 20 Frustration 10- Major English Business - Psychology - Mathematics Look carefully at the graphs of both scenarios. a) Which of the two scenarios has more variability within groups (Hint 1)? Scenario 1 OScenario 2 b) For which of the two scenarios would you be willing to believe that samples have been taken from four groups which have the same population means? O Scenario 1 Scenario 2 c) For which of the two scenarios would you think provide stronger evidence of a relationship between major and "academic frustration" level? Scenario 1 Scenario 2