To test whether actually taking Introductory Statistics decreases students' anxieties about the fieldof Statistics, a statistics instructor gave a test to rate student anxiety at the beginning and end ofhis course. Anxiety levels were measured on a scale of 0-10. Here are the data for 16 randomlychosen students from a class of 180 students:

Student 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 Pre-course Anxiety Level 7 6 9 5 6 7 5 7 6 4 3 2 1 3 4 2 Post-course Anxiety Level 4 3 7 3 4 5 4 6 5 3 2 2 1 3 4 3 Do the data indicate that anxiety levels about the field of Statistics decreases after students take Introductory Statistics? Use a significance level of =0.05. a. A paired t-test requires that the samples be dependent. Is that condition met for this problem? Why or why not? (1 point) b. State the hypotheses in symbols. (2 points) c. Use your calculator to perform the correct test and report the test statistic and P-value. (3 points) d. Write a full conclusion for this test in the context of the problem. (2 points) e. Find a 90% confidence interval for the difference in the anxiety levels about the field of Statistics. (2 points) f. Interpret the confidence interval in the context of this problem. (2 points) g. Does this confidence interval support your conclusion in part (d)? Explain. (2 points)