Problem #6: Strategies for treating hypertensive patients by nonpharmacologic methods are compared by establishing three groups...

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Problem #6: 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 5.2 3.4 4.5 1.2 222 2.1 2.3 2.0 -0.3 0.9 (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 Treatments and SSE (c) What conclusion can you draw about the hypothesis test in (a)? Use a = .01. (A) H H1 H2 H3 H =; for all pairs (i,j) (B) H = = 43: HA1 #2 #43 (C) Ho M =H2=3, HAMM; for at least one pair (i,j) (D) Ho = = M3, HA: M #M; for all pairs (i,j) (E) Ho14243. HAH =; for at least one pair (i,j) Problem #6(a): C Problem #6(b): 11.4216,9.9939 hypothesis tested SSTreatments SSE (numbers correct to 4 decimals) (A) Do not reject Ho since 11.4216 12.4. (B) Reject Ho since 11.4216 > 9.55. (C) Do not reject Ho since 7.6144 9.55. (D) Do not reject Ho since 2.8554 <12.4. (E) Reject Ho since 9.9939 >9.55. (F) Do not reject Ho since 9.9939 12.4. (G) Do not reject Ho since 2.8554 9.55. (H) Do not reject Ho since 7.6144 < 12.4. Problem #6(c): F conclusion Just Save Submit Problem #6 for Grading Problem #6 Attempt #1 Attempt #2 Attempt #3 Your Answer: 6(a) C 6(a) 6(b) 11.4216, 6(a) 6(b) 6(b) 9.9939 6(c) 6(c) 6(c) F Your Mark: 6(a) 1/1 6(a) 6(a) 6(b) 0/4x 6(b) 6(b) 6(c) 0/2x 6(c) 6(c) Problem #7: Using the data from Problem #6 above, we want to use Fisher's LSD method to test the following hyptheses at the 1% significance level: Ho H1 H2 vs HAK H0 1 3 vs HA: 143 Ho H2 H3 vs HA: 42% 13 (a) Find the value of LSD for each of the above three hypotheses (in the above order). (b) Which pairs of means are significantly different (using Fisher's LSD test at the 1% significance level)? 3 LSD values Problem #7(a): (correct to 2 decimals) (A) all of them (B) 1 and 3, 2 and 3 only (C) 1 and 2, 1 and 3 only (D) 2 and 3 only (E) 1 and 3 only (F) none of them (G) 1 and 2 only (H) 1 and 2, 2 and 3 only Problem #7(b): Select Which pairs? Just Save Submit Problem #7 for Grading Problem #7 Attempt #1 Attempt #2 Attempt #3 Your Answer: 7(a) 7(a) 7(a) 7(b) 7(b) 7(b) Your Mark: 7(a) 7(a) 7(a) 7(b) 7(b) 7(b) Problem #6: 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 5.2 3.4 4.5 1.2 222 2.1 2.3 2.0 -0.3 0.9 (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 Treatments and SSE (c) What conclusion can you draw about the hypothesis test in (a)? Use a = .01. (A) H H1 H2 H3 H =; for all pairs (i,j) (B) H = = 43: HA1 #2 #43 (C) Ho M =H2=3, HAMM; for at least one pair (i,j) (D) Ho = = M3, HA: M #M; for all pairs (i,j) (E) Ho14243. HAH =; for at least one pair (i,j) Problem #6(a): C Problem #6(b): 11.4216,9.9939 hypothesis tested SSTreatments SSE (numbers correct to 4 decimals) (A) Do not reject Ho since 11.4216 12.4. (B) Reject Ho since 11.4216 > 9.55. (C) Do not reject Ho since 7.6144 9.55. (D) Do not reject Ho since 2.8554 <12.4. (E) Reject Ho since 9.9939 >9.55. (F) Do not reject Ho since 9.9939 12.4. (G) Do not reject Ho since 2.8554 9.55. (H) Do not reject Ho since 7.6144 < 12.4. Problem #6(c): F conclusion Just Save Submit Problem #6 for Grading Problem #6 Attempt #1 Attempt #2 Attempt #3 Your Answer: 6(a) C 6(a) 6(b) 11.4216, 6(a) 6(b) 6(b) 9.9939 6(c) 6(c) 6(c) F Your Mark: 6(a) 1/1 6(a) 6(a) 6(b) 0/4x 6(b) 6(b) 6(c) 0/2x 6(c) 6(c) Problem #7: Using the data from Problem #6 above, we want to use Fisher's LSD method to test the following hyptheses at the 1% significance level: Ho H1 H2 vs HAK H0 1 3 vs HA: 143 Ho H2 H3 vs HA: 42% 13 (a) Find the value of LSD for each of the above three hypotheses (in the above order). (b) Which pairs of means are significantly different (using Fisher's LSD test at the 1% significance level)? 3 LSD values Problem #7(a): (correct to 2 decimals) (A) all of them (B) 1 and 3, 2 and 3 only (C) 1 and 2, 1 and 3 only (D) 2 and 3 only (E) 1 and 3 only (F) none of them (G) 1 and 2 only (H) 1 and 2, 2 and 3 only Problem #7(b): Select Which pairs? Just Save Submit Problem #7 for Grading Problem #7 Attempt #1 Attempt #2 Attempt #3 Your Answer: 7(a) 7(a) 7(a) 7(b) 7(b) 7(b) Your Mark: 7(a) 7(a) 7(a) 7(b) 7(b) 7(b)