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Example 131: The U.S. Department of Education conducts an assessment of student learning called the National Assessment of Educational Progress (NAEP). From the 2009, grade 8 mathematics assessment random samples were drawn from two groups: Hispanic males from large cities and Black males from large cities. The data is summarized below. Use the data to form a 95% confidence interval for the true mean difference for grade 8, mathematics scores between Hispanic males and Black males from large cities.