Problem Code: 978 The table below gives the pretest and post test scores on the MLA's listening test in Spanish for 10 high school Spanish teachers who attended an intensive summer course in Spanish. Teacher Pre-test Post-test 1 30 29 2 30 32 3 28 31 4 24 25 5 29 31 6 30 31 7 34 32 8 32 33 9 28 28 10 16 20 Part a: We hope to show that attending the institute improves listening skills. State the hypotheses. Part b: Perform the significance test on your hypothesis. Report the test statistic and p-value. State your conclusion in terms of the issue. Part c: Give a 90% confidence interval for the mean increase in listening score due to attending the summer institute.