Recall Exercises 9.1.19–9.1.22 about the popular science fiction video game Halo. Statistics students at Hope College, Holland, MI, wanted to determine whether or not the level on which the game was played affects how well a person plays, and so data were collected from 90 different games of Halo, 30 from each of the three different levels.
a. Use a theory-based approach to run an ANOVA test to investigate whether the average number of kills is different for at least one of the groups (or levels). Use the data file HaloKills. Report the value of the F-statistic and the corresponding p-value. As done earlier, pretend for purposes of this study that each of the 90 games was played by a different player.
b. Based on the p-value, state your conclusion in the context of the study.