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

6.4 2.8 0.3

3.4 2.3 0.4

2.3

Using the data above, we want to use the Bonferonni method to test the following hyptheses at the 3% significance level:

H₀:₁=₂H₁:₁₂

H₀:₁=₃H₁:₁₃

H₀:₂=₃H₁:₂₃

(a)Find the value of the test statistic for each of the above three hypotheses (in the above order).

3 test statistics (correct to2 decimals)

(b)Which pairs of means are significantly different (using the Bonferonni method at the 3% significance level)?

(A)1 and 3, 2 and 3 only(B)2 and 3 only(C)none of them(D)1 and 2, 2 and 3 only(E)1 and 3 only(F)1 and 2, 1 and 3 only(G)all of them(H)1 and 2 only