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Question C.2: Using Appendix B Table B.2, fi nd the area under the curve t......

Using Appendix B Table B.2, fi nd the area under the curve to the left of z = 1.12.

Table B 2. Areas under the standardized normal curve, from – ∞ to + z
z .00 .01 .02 .03 .04 .05 .06 .07 .08 .09
.0 .5000 .5040 .5080 .5120 .5160 .5199 .5239 .5279 .5319 .5359
.1 .5398 .5438 .5478 .5517 .5557 .5596 .5636 .5675 .5714 .5753
.2 .5793 .5832 .5871 .5910 .5948 .5987 .6026 .6064 .6103 .6141
.3 .6179 .6217 .6255 .6293 .6331 .6368 .6406 .6443 .6480 .6517
.4 .6554 .6591 .6628 .6664 .6700 .6736 .6772 .6808 .6844 .6879
.5 .6915 .6950 .6985 .7019 .7054 .7088 .7123 .7157 .7190 .7224
.6 .7257 .7291 .7324 .7357 .7389 .7422 .7454 .7486 .7517 .7549
.7 .7580 .7611 .7642 .7673 .7703 .7734 .7764 .7794 .7823 .7852
.8 .7881 .7910 .7939 .7967 .7995 .8023 .8051 .8078 .8106 .8133
.9 .8159 .8186 .8212 .8238 .8264 .8289 .8315 .8340 .8365 .8389
1.0 .8413 .8438 .8461 .8485 .8508 .8531 .8554 .8577 .8599 .8621
1.1 .8643 .8665 .8686 .8708 .8729 .8749 .8770 .8790 .8810 .8830
1.2 .8849 .8869 .8888 .8907 .8925 .8944 .8962 .8980 .8997 .9015
1.3 .9032 .9049 .9066 .9082 .9099 .9115 .9131 .9147 .9162 .9177
1.4 .9192 .9207 .9222 .9236 .9251 .9265 .9279 .9292 .9306 .9319
1.5 .9332 .9345 .9357 .9370 .9382 .9394 .9406 .9418 .9429 .9441
1.6 .9452 .9463 .9474 .9484 .9495 .9505 .9515 .9525 .9535 .9545
1.7 .9554 .9564 .9573 .9582 .9591 .9599 .9608 .9616 .9625 .9633
1.8 .9641 .9649 .9656 .9664 .9671 .9678 .9686 .9693 .9699 .9706
1.9 .9713 .9719 .9726 .9732 .9738 .9744 .9750 .9756 .9761 .9767
2.0 .9772 .9778 .9783 .9788 .9793 .9798 .9803 .9808 .9812 .9817
2.1 .9821 .9826 .9830 .9834 .9838 .9842 .9846 .9850 .9854 .9857
2.2 .9861 .9864 .9868 .9871 .9875 .9878 .9881 .9884 .9887 .9890
2.3 .9893 .9896 .9898 .9901 .9904 .9906 .9909 .9911 .9913 .9916
2.4 .9918 .9920 .9922 .9925 .9927 .9929 .9931 .9932 .9934 .9936
2.5 .9938 .9940 .9941 .9943 .9945 .9946 .9948 .9949 .9951 .9952
2.6 .9953 .9955 .9956 .9957 .9959 .9960 .9961 .9962 .9963 .9964
2.7 .9965 .9966 .9967 .9968 .9969 .9970 .9971 .9972 .9973 .9974
2.8 .9974 .9975 .9976 .9977 .9977 .9978 .9979 .9979 .9980 .9981
2.9 .9981 .9982 .9982 .9983 .9984 .9984 .9985 .9985 .9986 .9986
3.0 .9987 .9987 .9987 .9988 .9988 .9989 .9989 .9989 .9990 .9990
3.1 .9990 .9991 .9991 .9991 .9992 .9992 .9992 .9992 .9993 .9993
3.2 .9993 .9993 .9994 .9994 .9994 .9994 .9994 .9995 .9995 .9995
3.3 .9995 .9995 .9995 .9996 .9996 .9996 .9996 .9996 .9996 .9997
3.4 .9997 .9997 .9997 .9997 .9997 .9997 .9997 .9997 .9997 .9998

 

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\begin{array}{r}z\,-\,1.12\;\mathrm{becomes}\ \ {1.1}\\\underline{\ \ .02}\\1.12\end{array}

Find the row where z = 1.1 down the left-hand side of the table. Find the .02 column across the top of the table. The probability is at the intersection of the 1.1 row and the .02 column.

z .00 .01 .02 .03 .04 .05 .06 0.07 0.08 0.09
.0 .5000 .5040 .5080 .5120 .5160 .5199 .5239 0.5279 0.5319 0.5359
.1 .5398 .5438 .5478 .5517 .5557 .5596 .5636 0.5675 0.5714 0.5753
.2 .5793 .5832 .5871 .5910 .5948 .5987 .6026 0.6064 0.6103 0.6141
.3 .6179 .6217 .6255 .6293 .6331 .6368 .6406 0.6443 0.648 0.6517
.4 .6554 .6591 .6628 .6664 .6700 .6736 .6772 0.6808 0.6844 0.6879
.5 .6915 .6950 .6985 .7019 .7054 .7088 .7123 0.7157 0.719 0.7224
.6 .7257 .7291 .7324 .7357 .7389 .7422 .7454 0.7486 0.7517 0.7549
.7 .7580 .7611 .7642 .7673 .7703 .7734 .7764 0.7794 0.7823 0.7852
.8 .7881 .7910 .7939 .7967 .7995 .8023 .8051 0.8078 0.8106 0.8133
.9 .8159 .8186 .8212 .8238 .8264 .8289 .8315 0.834 0.8365 0.8389
1.0 .8413 .8438 .8461 .8485 .8508 .8531 .8554 0.8577 0.8599 0.8621
1.1 .8643 .8665 \fbox{.8686} .8708 .8729 .8749 .8770 0.879 0.881 0.8830
1.2 .8849 .8869 .8888 .8907 .8925 .8944 .8962 0.898 0.8997 0.9015
1.3 .9032 .9049 .9066 .9082 .9099 .9115 .9131 0.9147 0.9162 0.9177
1.4 .9192 .9207 .9222 .9236 .9251 .9265 .9279 0.9292 0.9306 0.9319

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