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 µ 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 44 Henrico County third-grade students. Their scores were recorded in the following table:

40 26 39 17 42 18 24 43 46 27 19
47 19 26 37 34 15 45 41 39 31 46

(a) Find the t critical value for a 90% confidence interval for the true mean, µ, of the population.
(b) State and verify the conditions for the confidence interval.
(c) Compute and interpret the 90% confidence interval for the mean DRP score in Henrico County Schools.