There are many ways to measure the reading ability of children. Research designed to improve reading performance is dependent on good measures of the outcome. One frequently used test is the DRP, or Degree of Reading Power. A researcher suspects that the mean score of all third-graders in Henrico County Schools is different from the national mean, which is 32. To test her suspicion, she administers the DRP to an SRS of 28 Henrico County third-grade students. The mean DRP score for this group of students is 35.09 with a standard deviation of 11.19. An inspection of the data shows no skewness or serious departures from normality. (a) Construct a 90% confidence interval for the mean DRP score for all Henrico County third-graders. (b) Use the confidence interval you constructed in (a) to comment on whether you agree with the researcher's claim. Explain your reasoning clearly.