There is considerable discussion within the educational community regarding the effect of school size on student performance. In one study done in Georgia, the achievement scores of a sample of “ large school” fifth grade students who took the Stanford 9 achievement test were compared to the test scores of a sample of “ small school” fifth graders (source: A Pilot Study on School Size and Student Achievement, N. G. Nash, University of Georgia). Suppose for the sample of small school students (sample size 810) the average test score was 51.3, with a standard deviation of 11.2, and for the large school sample (sample size 1046), the average test score was 44.6, with a standard deviation of 13.4. Build a 90% confidence interval estimate of the difference in average test scores for the population of small school fifth graders in Georgia and the population of large school fifth graders in Georgia.