A cell phone company is investigating whether age and ethnicity are factors which explain how much people spend on their cell phones. They randomly picked three people from each category and determined each person's average monthly cell phone bill. The results are shown in the table. Amounts are in dollars. A two-way analysis of variance is to be performed. Assume that the data come from populations that are normally distributed with the same variance. If there is a significant difference in the means for the three age groups, use Tukey's test to determine which pairwise means differ using a familywise error rate of α = 0.05. Give the P-value for any significant differences. If there is a significant difference in the means for the three ethnic groups, use Tukey's test to determine which pairwise means differ using a familywise error rate of α = 0.05. Give the P-value for any significant differences.
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