Part il 1. Fourth-four sixth graders were randomly selected from a school district. Then, they were divided into 22 matched pairs, each pair having equal 10's. One member of each pair was randomly selected to receive special training, Then, all of the students were given an to test. Test results are summarized below: EH, D = 22. EF (D, - D)2 = 270, where D, Is the difference between the score on the IQ test for trained and no trained groups. Do these results provide evidence that the special training helped students' performance? Use a 0.05 significance level. Assume that the scores are normally distributed. (Remember that, $3 - 2(0 - D), (a) [3 pts.] Set up the null and alternative hypothesis to test whether the special training helped students' performance. (b) [3 pts.] Find the value of the standardized test statistic. (c) [3 pts.] Find the rejection region and state the decision. (d) [3 pts.] State your conclusion in the context of the