11-75. Refer to the Minitab output in Exercise 11-3. a) b) r = 0.672 = 0.820 H 0 : = 0 H 1 : 0 t 0 = r n - 2 1- r 2 = 0.82 32- 2 1-0.82 2 = 7.847 t .025,30 = 2.042 t 0 > t .025,30 Reject H 0 . The P-value < 0.0005. c) 1.96 tanh arctan h (0.082)+ 19.6 tanh arctan h (0.082)- 32-3 32-3 0.660 0.909 d) H 0 : = 0.7 H 1 : 0.7 z 0 = (arctan h R -arctan h 0 ) ( n -3 ) 1/2 1/2 z 0 = (arctan h 0.82-arctan h 0.7) ( 32-3 ) z 0 = 1.56 z /2 = z 0.025 = 1.96