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Three brands of flashlight batteries are to be compared by testing each brand in 4 flashlights. Twelve flashlights are randomly selected and divided randomly into

Three brands of flashlight batteries are to be compared by testing each brand in 4 flashlights. Twelve flashlights are randomly selected and divided randomly into three groups of four flashlights each. Then each group of flashlights uses a different brand of battery. The lifetimes of the batteries, to the nearest hour, are as follows.

Brand A Brand B Brand C
16 15 15
17 15 14
13 13 13
18 17 14

Preliminary data analyses indicate that the independent samples come from normal populations with equal standard deviations. At the 5% significance level, does there appear to be a difference in mean lifetime among the three brands of batteries?

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