4. The following are scores for an algebra test which was taken by 7 students before and after attending an algebra review seminar. Assuming that the population of differences is normal, Test the claim at 1% significance that the algebra review is effective in raising students' average test score. Before 75 62 81 58 90 73 69 After 79 67 82 61 89 76 75 (a) Test the claim using a hypothesis test. (24 points) Requirements (4) hypothesis statements (4) test statistic (6) p-value (4) conclusion sentence (6) (b) Construct a 98% significance level confidence interval. Show all steps. (12 points) bris b dast alesdrog ads gniew mislo odi tes Tablemel gnom nuff ees el esfam guomis of bobsorrel to moldong elli eadbroach farb yroled mail done vingbl moldong ally to be/ismail small modjo ed! svee I bobos ss to edhoesb fast amsil scodi sion)) grow besham 5d liv moll sno andi grom qahavo bis gid got one indi eslol ) test ales dforred sill srelamoo ton off show was no offmy offerswane ed slorio into (elriog 8) Isvoil sonshitno? - copiodo 2 gafwollol orrito 10 audiogong S nothoquig (c) Draw a number line and place the confidence interval on the number line. Use this ensso graph to decide whether this indicates that the algebra review has helped or whether the review has had no effect on grades. Write a sentence to explain your decision. (10 points) 2 gniwolldt orh to 1