1: F T F T F F T T F F F T T F 2-6: B; C; B; C; E 7: a) Two-sample t-test b) Let mu_R and mu_N be the mean weight of mussel meet for raft and natural groups, respectively. Ha: mu_R-mu_N > 0 c) d.f.=134+46-2=178 8: Tukey's method: multiplier=q_(5,20,0.10)/sqrt(2)=3.736/sqrt(2)=2.642 Bonferroni's method: t_(20,0.1/10)=2.528 Bonferroni's method is better, because it has smaller multiplier. 9) Source DF SS MS F P-value Treatment 6 120 20 4 P-value < 0.005 Error 63 315 5 Total 69 10) H0: p_M-p_F=0 vs. Ha: p_M-p_F>0. p.hat_M=242/366=0.661, p.hat_F=257/423=0.608 p.hat=(242+257)/(366+423)=0.632 z=(p.hat_M-p.hat_F)/sqrt(p.hat*(1-p.hat)*(1/423+1/366))=0.053/0.0344=1.54 p-value=P(Z>1.54)=0.0618 > 0.05=alpha Fail to reject null hypothesis. 11) a) H0: mu_d=0 vs. Ha: mu_d>0 t=8/(27.9/sqrt(7))=0.759 df=7-1=6 p-value is between 0.2 and 0.25 Fail to reject the null hypothesis b) The differences d1~d7 are random samples from a normal distribution with mean mu_d and SD sigma. 12) a) H0: mu1-mu2=0 vs. mu1-mu2<0 sp=sqrt((60^2*35+75^2*29)/(35+29))=67.2 t=(110-150)/(67.2*sqrt(1/36+1/30))=-2.41 d.f.=64 P-value is between 0.005 and 0.01. Reject the null hypothesis. b) (150-110) +/- 2.678*67.2*sqrt(1/36+1/30) = 40 +/- 44.5 [-4.5,84.5]