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1. You are an employee of the Department of Health and responsible for evaluating levels of lead, a toxic heavy metal, in the environment and

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1. You are an employee of the Department of Health and responsible for evaluating levels of lead, a toxic heavy metal, in the environment and in humans. Recently, you have received disturbing reports that young children in a particular city are being exposed to large amounts of lead and have high blood lead levels. To understand whether children 1n different neighborhoods of this city halcjlffeanhlonileadJmLcla, you decide to randomly sample the blood of 6 year 91513 In each of the ve neighborhoods within the city. Below are the data that you collected for 5 children in each neighborhood, in micrograms of lead per deciliter of blood. Neighborhood: A E 1.5 6.4 3.2 10.1 2.7 7.3 0.9 5.4 1.3 12.2 1.4 1.7 3.5 Conduct an Analysis of Variance to compare the lead levels in children across these neighborhoods. Assume the variances are equal across groups and use a = 0.05. State the null and alternative hypotheses associated with the ANOVA. Perform the test on the previous page (use the back of the sheet if you run low on space), showing all your work, and fill in the ANOVA table below. ANOVA Table: Source of Variation Degrees of Sum of Squares Mean Square Freedom Groups Error Total What is the critical value based on a? Draw a conclusion based on the statistical results and biological relevance. Perform a Tukey HSD test to determine which neighborhoods have children with the same or different levels of lead in their blood. .. What is the SE for the Tukey HSD tests? What is the critical value of q? Carry out the Tukey HSD tests for comparisons in the order described in class. Which comparisons are significantly different? Provide the notation for the comparison of means. Construct a bar graph of the mean blood lead level in children in each neighborhood and use lowercase letters (CLD) above the bars to indicate which neighborhoods have similar or different levels. Organize the neighborhoods, A through E, from left to right on the x-axis

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