An educational study was designed to investigate the effectiveness of a reading program of elementary age children. Each child was given a pretest and posttest. Higher posttest scores would indicate reading improvement. From a very large population, a random sample of scores for the pretest and posttest are as follows:
Child 3 moved from the school district and did not take the posttest. Child 5 moved into the district after the start of the study and did not take the pretest. Find a 95% confidence interval estimate of the mean improvement in the reading scores.
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