Problem #1: Strategies for treating hypertensive patients by nonpharmacologic methods are compared by establishing three groups of hypertensive patients who receive the following types of nonpharmacologic therapy: Group 1: Patients receive counseling for weight reduction Group 2: Patients receive counseling for meditation Group 3: Patients receive no counseling at all The reduction in diastolic blood pressure is noted in these patients after a 1-month period and are given in the table below. Group 1 Group 2 Group 3 4.2 4.5 1.2 6.2 2.8 -0.3 3.4 2.3 0.9 2.3 (a) What are the appropriate null and alternative hypotheses to test whether or not the mean reduction in diastolic blood pressure is the same for the three groups? (b) Find the values of SS(treatment) and SS(error). (c) What conclusion can you draw about the hypothesis test in (a)? Use a = .05. (A) H0 1 2 3, (C) H0 2 3, (E) H0 =2=3, H: = ; for at least one pair (i,j) (B) H0 = = 3, H: M1 M2 M3 H: = ; for all pairs (i,j) (D) Ho: M = = 3, H: ; for all pairs (i, j) H: ; for at least one pair (i,j) Problem #1(a): Select hypothesis tested Problem #1(b): SS(treatment), SS(error) (numbers correct to 4 decimals) (A) Do not reject Ho since 1.7412 6.5415. (B) Do not reject Ho since 1.7412 4.7374. (C) Reject Ho since 6.9649 > 6.5415. (D) Reject Ho since 6.0943 > 4.7374. (E) Reject Ho since 6.9649 > 4.7374. (F) Do not reject Ho since 4.6433 6.5415. (G) Do not reject Ho since 4.6433 4.7374. (H) Do not reject Ho since 6.0943 6.5415. Problem #1(c): Select conclusion