Q3) An experiment was conducted to study the life (in hours) of two different brands of batteries in three different devices (radio, camera, and portable DVD player). A completely randomized two-factor factorial experiment was conducted and the following head of the data resulted. (35 points) Battery Device Life Hours A Radio 8.6 A Radio 8.2 A Radio 8.7 A Radio 8.1 A Radio 8.7 A Radio 8.3 > dim (Q3Data) [1] 48 3 > table (Battery) Battery A B 24 24 > table (Device) Device Camera DVD Radio 16 16 16 >sd( Life Hours ) [1] 1. 404949 > mean ( Life Hours ) [1] 7. 6375 > Q31m summary (Q31m) Call : Im( formula = Life Hours ~ Battery * Device) CoefficienCall : 1m ( formula = Life Hours ~ Battery * Device) Coefficients : Estimate Std. Error t value Pr(> |t|) (Intercept ) 8 . 10000 0 . 08809 91 . 948 aggregate(formula='Life Hours'~Battery+Device,FUN=mean) Battery Device Life Hours 1 A Camera 2 B Camera 3 A DVD 4 B DVD 5 A Radio 6 B Radio C) (10 pts) Create an Interaction plot using Battery as your x-axis. What can you conclude from your graph? Life Hours Bmmw D) Find the following marginal averages: (4 points) > aggregate(formula='Life Hours'-Battery,FUN=mean) Battery Life Hours 1 A 2 B E) Find the following marginal averages: (4 points) > aggregate(formula='Life Hours'~Device,FUN=mean) Device Life Hours 1 Camera 2 DVD 3 Radio