An agency offers preparation courses for a graduate school admissions test to students. As part of...

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An agency offers preparation courses for a graduate school admissions test to students. As part of an experiment to evaluate the merits of the course, 40 students were chosen and divided into 20 pairs in such a way that the members of any pair had similar academic records. Before taking the test, one member of each pair was assigned at random to take the preparation course, while the other member did not take a course. The achievement test scores are contained in the accompanying table. Assuming that the differences in scores follow a normal distribution, test at the 10% level, the null hypothesis that the two population means are equal against the alternative that the true mean is higher for students taking the preparation course. Click the icon to view the data table. Click the icon to view the critical values of the Student's t distribution. Let be the mean test scores for those who took the preparation course and let 2 be the mean test scores for those who did not take the course. Determine the null and alternative hypotheses. Choose the correct answer below. A. Ho H1 H2 = 0 H-20 D. Ho H1 H20 B. Ho H1 H20 E. Ho H1 H2 0 H-20 OF. Ho H1 H2 <0 11-20 The test statistic is t= . (Round to three decimal places as needed.) An agency offers preparation courses for a graduate school admissions test to students. As part of an experiment to evaluate the merits of the course, 40 students were chosen and divided into 20 pairs in such a way that the members of any pair had similar academic records. Before taking the test, one member of each pair was assigned at random to take the preparation course, while the other member did not take a course. The achievement test scores are contained in the accompanying table. Assuming that the differences in scores follow a normal distribution, test at the 10% level, the null hypothesis that the two population means are equal against the alternative that the true mean is higher for students taking the preparation course. Click the icon to view the data table. Click the icon to view the critical values of the Student's t distribution. Let be the mean test scores for those who took the preparation course and let 2 be the mean test scores for those who did not take the course. Determine the null and alternative hypotheses. Choose the correct answer below. A. Ho H1 H2 = 0 H-20 D. Ho H1 H20 B. Ho H1 H20 E. Ho H1 H2 0 H-20 OF. Ho H1 H2 <0 11-20 The test statistic is t= . (Round to three decimal places as needed.)