Reference no: EM132856542

Education researchers give a test designed to measure the reading ability,r of children to a large group of third- and sixth-grade children. The mean score for the third graders is 56 and the standard deviation is 10. Forthe sixth graders the mean is 82 and the standard deviation is 11. The researchers want to transform the scores to a scale that allows us to compare the standing of a third grader within her grade to the standing of a sixth grader within his grade. Although z-scores would work, the researchers prefer a scale with mean 100 and standard deviation 30 in each grade. What linear transformation will change third grade scores in: into new scores xnew = h + ax that have the desired mean and standard deviation? (USE a > 0 TO preserve the order Of the SCORES.) Find a and D.