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Assignment Directions: Please answer all questions in a word document. If a series of calculations is necessary in order to arrive at a final answer, show your work at major stages in the calculation process. This way I can give partial credit and identify where mistakes may have been made. If you are asked to explain something, provide as much detail as possible. 1. In an investigation of educational quality in Kansas City elementary schools you notice that "bright" students appear to be taller and weigh more than "slow" students. You begin to wonder if there is a relationship between academic performance and nutrition. Government reports have hypothesized that malnutrition can adversely affect the learning process and lower student achievement. As a result of your own observations and the government reports, you believe that malnourished students will tend to do poorly in school, and wish to test your hypothesis. Since you have no data on what students eat, you decide to test your belief indirectly using students' weights. In a large elementary school, you ask teachers to identify "bright" and "slow" students. You then check the students' records to obtain their weights, which are given in the table below. Use the difference-of-means test to determine whether the mean weight of "bright" students is significantly higher than the mean weight of "slow" students. Presume that the weights of students in each group are normally distributed and that you have equal population variances. Also assume that α = .05. "bright" "slow" ----------------------------------------------------------------- 105 76 93 85 88 94 96 90 100 79 101 83 87 68 95 89 99 94 102 101 87 77 71 94 103 87 83 83 91 103 96 72

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