12. A random sample of 10 patients with mild atherosclerotic disease was selected. Two measurements were taken on each patient, the thickness of plaque (in tenths of micrometers) in their carotid artery before Vitamin E treatment and after two years of taking Vitamin E daily. The results are given in the table below. Patient 1 2 3 4 5 7 8 9 10 After Treatme 60 69 79 63 60 65 62 67 68 70 nt Before 66 72 85 62 59 63 64 70 73 68 Treatment We want to know if these data provide sufficient evidence at the 1% level of significance to conclude that the Vitamin E treatment decreases the thickness of plaque in the carotid artery. (a) (DESIGN) State your Hypothesis (e) (DATA) Identify the correct test and circle the p-value, and circle your decision. Matched Pairs t-tests Pooled Variance t-tests Test Test Null hypothesis Ho: H_difference = 0 Null hypothesis Ho: Hi - Hz = 0 Alternative hypothesis H1: H_difference 0 Alternative hypothesis Hii (1 - M: > 0 T-Value P-Value T-Value DF P-Value (c) (DESIGN) Significance Level -1.87 0.953 -0.64 18 0.735