Three Brands of AAA Batteries Are Compared to Determine If

Three brands of AAA batteries are compared to determine if differences in
Lifetime exist. Each brand is tested in four devices (TV remote, hand-held game,
Flashlight and digital camera) . The experiment is run once for each combination of brand
And device. The twelve runs are ordered randomly. The time (in minutes) that each
Battery lasts under continuous usage is recorded. Based on the partial ANOVA results
Shown below, the F-statistic for testing whether the three brands of AAA batteries have
Equal mean lifetimes is
Two-way ANOVA: Time (min) versus Brand, Device $$\begin{array} { l r r r r r } \text { Source } & \text { DF } & \text { SS } & \text { MS } & \text { F } & \text { P } \\\text { Brand } & 2 & 2974 & 1487 & & \\\text { Device } & 3 & 2496533 & 832178 & & \\\text { Error } & 6 & 3017 & 503 & \\\text { Total } & 11 & 2502524 & & &\end{array}$$

A) 2.96
B) 1654.89
C) 0.98
D) 827.49
E) 54.67