People who have home gaming systems, such as Wii„¢, Play station„¢, and Xbox„¢, are well aware of how quickly they need to replace the batteries in the remote controls. A consumer agency decided to test three major brands of alkaline batteries to determine whether they differ in their average lifetimes in these remotes. For each of the three brands, 10 sets of batteries were placed in the remotes, and people played games until the batteries died. The following ANOVA table contains some of the values from the analysis.

Assume that the three populations are normally distributed with equal variances.
a. Find the missing values, and complete the ANOVA table.
b. What are the appropriate hypotheses (null and alternative) for this analysis? Using α = .05, what is your conclusion about the equality of the three population means?

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Source of Variation Between Within Total Degrees of Freedom Sum of Mean Square 25711.60 Value of the Test Statistic Squares 22388.25 0