chapter 1

CHAPTER 11Section 11.11.30.659.27.65MSA , MSE = = 4. 93 , fA= = 1. 55 . Since . 554124.93≥ F 3. , don’t reject H oA . There is no difference in true average tirea. = = 7. 65not 26. 05,4,12=lifetime due to different makes of cars.1 isMSB44.114.70, fB= = 2. 98 . Since34.93. 98≥ F 3.49b. = = 14. 70. 05,3,12=due to different brands of tires.2 is not, don’t reject H oB . There is no difference in true average tire lifetime2.a. x 163, x 152 , x 142 , x 146 , x 215 , 1881 •=2 •=3 •=4 •=•1=( )x ,•2=x = 200•3, x••= 603 , 2 603 2ΣΣ ij= 30, 599=122222298.25, SSA = [( 163) ( 152) ( 142) ( 146)] 1 + + + −30,300.75= 83. 58 ,3SSB = 30 ,392.25 − 30,300.75 = 91.50,SSE = 298 .25 −83.58−91.50= 123.17 .x , CF = 30,300.75 , so SST =Source Df SS MS FA3 83.58 27.86 1.36B 2 91.50 45.75 2.23Error 6 123.17 20.53Total 11 298.25F 4.76 , F 5. 14. 05,3,6=. 05,2,6=value, neither H oA nor H oB is rejected.b. ˆ = 50. 25= x ••. Since neither f is greater than the appropriate criticalµ , α x − 4. 08 , α ˆ 2= . 42 , α ˆ 3= −2. 92 , ˆ 4= −1. 58ˆ1 =1• x • •=β ˆ1= x • 1− x • •= 3.50 , βˆ2= −3. 25 ,ˆ3= −. 25β .α ,313