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Got Milk? Researchers Sharon Peterson and Madeleine Sigman-Grant wanted to compare the overall nutrient intake of American children (ages 2 to 19) who exclusively use skim milk instead of 1%, 2%, or whole milk. The researchers combined children who consumed 1% or 2% milk into a “mixed milk” category. The following data represent the daily calcium intake (in mg) for a random sample of eight children in each category and are based on the results presented in their article “Impact of Adopting Lower-Fat Food Choices on Nutrient Intake of American Children,” Pediatrics, Vol. 100, No. 3.

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(a) Is there sufficient evidence to support the belief that at least one of the means is different from the others at the  level of significance? Note: The requirements for a one-way ANOVA are satisfied.

(b) If the null hypothesis is rejected in part (a), use Tukey’s test to determine which pairwise means differ using a familywise error rate of

(c) Draw boxplots of the three categories to support the analytic results obtained in parts (a) and (b).

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