What is the answer

Suppose administrators at a large school district decide to institute mandatory study halls at their middle schools in an effort to boost their students' academic performance. After one year, a guidance counselor decides to test whether students' grade point averages (GPAs) have improved compared to the previous school year. The counselor selects a random sample of 30 eighth-graders from throughout the district who were also enrolled in the district for seventh grade. He records their GPAs for grades seven and eight, and for each student, calculates the difference between the two. The counselor's data is summarized in the given table. Variable Sample Sample standard Standard description mean deviation error estimate seventh grade GPA x7 = 2.78463 ST = 0.47634 SET = 0.08879 eighth grade GPA X8 = 2.96423 5% = 054874 SE, = 0.10019 difference (8th - 7th) x = 0.17960 = 0.32058 SE = 0.05853 The counselor plans to use this information to conduct a matched-pairs f-test of the null hypothesis Ho: # = 0 against the alternative hypothesis #1: 0, where a is the mean change in students' GPAs after mandatory study halls were instituted. What is the 7 statistic for the counselor's test? Round your answer to three decimal places. What is the P-value for the counselor's test? Round your answer to four decimal places. P The counselor requires his results to be significant at a level of a = 0.05. Complete the sentences below to state the decision and conclusion of his test based on your previous answers. The counselor should his hypothesis. There is evidence that the mean difference in GPA from seventh grade to eighth grade for 15 Answer Bank insufficient less than sullicient greater than 2.76463 the 30 cighth-graders in the sample 0.17960 COLOS equal to null 2.96423 alternative fail to reject all cighth-graders not cqual to