A Military Combat Strategist wants to understand how an accuracy rate (by bullets) for assault firearms shooting depends on Military Ranks and Branch of Service allowing for an interaction. The data...


A Military Combat Strategist wants to understand how an accuracy rate (by bullets) for assault firearms shooting depends on Military Ranks and Branch of Service allowing for an interaction. The data are shown below:

















































































































Factor BFactor AFactor AFactor A
Branch of ServiceLow RanksMedium RanksHigh Ranks
Army255560
Army406065
Army22563
Army3010060
Marines7075100
Marines8550115
Marines7454108
Marines10045160
Navy757575
Navy557060
Navy415579
Navy407065
Air Force54059
Air Force102530
Air Force104045
Air Force53540

a. Construct a two-way (with interaction) ANOVA table for these data.


b. At the 5% significance level, can you conclude there is interaction between Ranks (Low, Medium, High) and Branch of Service?


c. Are you able to conduct tests on the main effects? If yes, conduct these tests at the 5% significance level.




Jun 03, 2022
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