A consumer group plans a comparative study of the mean life of four different brands of batteries. Ten batteries of each brand will be randomly selected and the time until the energy level falls below a pre-specified level is measured.
a) Which of the following is the appropriate alternative hypothesis for the null hypothesis: H0: μa = μb = μc = μd? (In this problem, μa = mean time of Brand A, μb = mean time of Brand B, etc.)
Ha: none of the means are equal
Ha: μa ≠ μb ≠ μc ≠ μd
Ha: μa ≠ μb, μa ≠ μc, μa ≠ μd, μb ≠ μc, μb ≠ μd, μc ≠ μd
Ha: at least one of the means is different
b)In order to analyze the data with ANOVA, we need to satisfy the condition of randomization. How do we know that this condition has been met?
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