Statistics 7.2

Standard Normal Distribution 0.00 0.01 0.0 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.0 0.5000 0.5040 0.5080 0.5120 0.5160 0.5199 0.5239 0.5319 0.5359 0.1 0.5398 0.5438 0.547 0.5517 0.5557 0.5279 0.5596 1.5636 0.5675 0.5714 0.5753 0.Z 0.5793 0.5832 0.5871 0.5910 0.5948 0.5987 0.6026 0.6064 0.6103 0.6141 03 0.6179 0.6217 0.6255 0.6293 0.6331 0.6368 0.6406 0.6443 0.6480 0.6517 0.6554 0.6591 0.6628 0.6664 0.6700 0.6736 0.6772 0.6808 0.6844 0.6879 05 D.6915 0.6950 0.6985 0.7019 0.7054 0.7088 0.712 0.7157 0.7190 0.7224 0.6 0.7257 0.7291 0.7324 0.7357 0.7389 0.7422 0.7454 0.7486 0.7517 0.7549 0.7 0.7580 0.7611 0.7642 0.7673 0.7704 0.7734 0.776 0.7794 0.7823 0.785 0.8 0.788 0.7910 0.7830 0.7995 0.8023 0.8051 0.8078 0.8106 0.8133 1.9 0.8159 0.8186 0.8212 0.8238 0.8264 0.8289 0.8315 0.8340 0.8365 0.8389 1. 0.8413 0.8438 0.8461 0.848. 0.8508 0.8531 0.855 0.8577 0.8599 0.8621 1.1 0.8643 0.8665 0.8686 0.870 0.8729 0.8749 0.8770 0.8790 0.8810 0.8830 1 .2 0.8849 0.8869 0.8888 0.8907 0.8925 0.8944 0.8962 0.8980 0.8997 0.90 15 1.3 0.9032 0.9049 0.9066 0.9082 0.909g 0.9115 0.9131 0.9147 0.9162 0.9177 0.9192 0.9207 0.9222 0.9236 0.9251 0.9265 0.927 0.9292 0.9306 0.9319 1.5 0.9332 0.9345 0.9357 0.9370 0.9382 0.9394 0.9406 0.9418 0.9429 0.9441 1.6 0.9452 0.9463 09474 0.9484 0.9495 0.9505 0.9515 0.9525 0.9535 0.9545 1.7 0.9554 0.9564 0.9573 0.9582 0.9591 0.9599 0.9608 0.9616 0.9625 0.9633 1.8 0.9641 0.9649 0.9656 0.9664 0.9671 0.9678 0.968 0.9693 0.9699 0.9706 1. 0.9713 0.9719 0.9726 0.0732 0.9738 0.9744 0.9750 0.9756 0.9761 0.9767 2.0 0.9772 0.977 0.9783 0.9788 0.9793 0.9798 0.980 0.9808 0.9812 0.9817 2.1 0.9821 0.9826 0.9830 0.9834 0.9838 0.9842 0.984 0.9850 0.9854 0.9857 2.2 0.986 0.9864 0.9868 0.9871 0.9875 0.9878 0.988 0.9884 0.988 0.9890 2.3 0.9893 0.989 0.9898 0.9901 0.9904 0.9906 0.9909 0.9911 0.9913 0.9916 2.4 3.9918 0.9921 0.9925 0.9027 0.9929 0.9931 0.9932 0.9934 0.9936 25 0.9938 0.9940 0.9941 0.9943 0.9945 0.9946 0.9948 0.9949 0.905 0.905 2.6 0.9953 0.9955 0.9956 0.9957 0.9959 0.9960 0.9961 0.9962 0.9963 0.9964 2.7 0.9965 0.996 0.9967 0.9968 0.9969 0.9970 0.9971 0.9972 0.9973 0.9974 2.8 0.9974 0.9975 0.9976 0.9977 0.9977 0.9978 0.9979 0.9979 0.9980 0.9981 20 0.9081 0.9982 09982 0.9983 0.9084 0.9084 0.998 0.9985 0.9986 0.9986 3.0 0.9987 .9987 0.9987 0.9988 0.9988 0.9989 0.998 0.9989 0.9990 0.9990 3.1 0.9090 0.9991 0.9091 0.9991 0.9092 0.9092 0.9992 0.9992 0.9993 0.999 3.2 0.9993 0.9993 0.9094 0.9994 0.9994 0.9994 0.9094 0.9995 0.9995 0.9995 3.3 0.9995 0.9095 0.9995 0.9996 0.9996 0.9996 0.9996 0.9996 0.9996 0.9997 3.4 0.9997 0.909 0.9097 0.9997 0.9997 0.9097 0.9097 0.9907 0.9997 0.9998 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 (1) O would not (2) O less would greater 18. The mean gas mileage for a hybrid car is 57 miles per gallon. Suppose that the gasoline mileage is approximately normally distributed with a standard deviation 3.5 miles per gallon. (a) What proportion of hybrids gets over 62 miles per gallon? (b) What proportion of hybrids gets 52 miles per gallon or less? (c) What proportion of hybrids gets between 58 and 61 miles per gallon? (d) What is the probability that a randomly selected hybrid gets less than 45 miles per gallon? 39 Click the icon to view a table of areas under the normal curve. (a) The proportion of hybrids that gets over 62 miles per gallon is Round to four decimal places as needed. b) The proportion of hybrids that gets 52 miles per gallon or less is (Round to four decimal places as needed.) (c) The proportion of hybrids that gets between 58 and 61 miles per gallon is (Round to four decimal places as needed.) (d) The probability that a randomly selected hybrid gets less than 45 miles per gallon is (Round to four decimal places as needed.) 39: Tables of Areas under the Normal Curve TABLE V Standard Normal Distribution 00 .01 02 .03 .04 .05 06 .07 .08 .09 -3.4 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0002 0.0003 0.0005 0.0005 0.0004 0.0004 4 0.0004 0.0004 0.0004 0.0004 0.0003 -3.2 0.0007 0 0.0006 0.0006 0.0006 0.0006 0.0006 0.0005 0.0005 0.0005 -3.1 0.0010 0.0009 0.0009 0.0009 0.0008 0.0008 0.0008 0.0008 0.0007 0.0007 0.0013 0.0012 0.0012 0.0011 0.0011 0.0011 0.0010 0.0010 0.0019 0.0018 0.0018 0.0017 0.0016 0.0016 0.0015 0.0015 0.0014 0.0014 6 0.0025 0.0024 0.0023 0.0023 3 0.0022 0.0021 0.0021 0.0020 0.0019 -27 0.0035 0.0034 0.0033 0.0032 0.0031 0.0030 0. 0.0029 0.0028 0.0027 0.0026 0.0047 0.0045 0.0044 0.0043 D.0041 10.0040 0.0039 0.0038 0.0037 0.0036 0.0062 0.0060 0.0057 0.0055 0.0054 0.0052 0.0051 0.0049 0.0082 0.0080 0.0078 30.0075 0.0073 0.0071 0.0068 0.0066 0.0064 -2.3 0.0107 0.0102 0.0099 0.0096 0.0094 0.0091 0.0089 0.0087 0.0084 -2.2 0.0139 0 0.0132 0.0129 0.0125 0.0122 0.0119 0.0116 0.0113 0.0110 0.0179 0.0166 0.0162 0.0158 0.0154 0.0150 0.0146 0.0143 -2.0 0.0228 0.0222 0.0217 0.0212 0 0.0207 0.0202 0.0197 0.0192 0.0188 0.0287 0.0281 0.0274 0.0268 0.0262 0.0256 0.0250 0.0244 0.0239 0.0233 -1.8 0.0359 0.0351 0.0344 0.0336 0.0329 0.0322 0.0314 0.0307 0.0301 0.0294 -1.7 0.0446 0.0436 0.0427 0.0418 0.0409 0.0401 0.0392 0.0384 0.0375 0.0367 0.0548 0.0537 0.0516 0.049 0.0475 0.0465 0.0455 -1.5 0.0668 0.0655 0.0643 0.0630 0.0618 0.0606 0.0594 0.0582 0.0571 -1.4 0.0808 0.0793 0. 0.0778 0.0764 0.0749 0.0735 0.0721 0.0708 0.0694 0.0681 -1.3 0.0968 0.0951 0.0934 0.0918 0.0901 0.0885 0.0869 0.0853 0.0838 0.0823 -1.2 0.1151 0.1131 0.1112 0.1093 0.1075 0.105 0.1038 0.1003 0.0985 -1.1 0.1357 0.1335 0.1314 0.1292 0.1271 0.1251 0.1230 0.1210 0.1190 0.1170 -1.0 0.1587 0.1539 0.1515 0.1492 0.1469 0.1446 0.1423 0.1401 0.1379 -0.9 0.1841 0.1814 0.1788 0.1762 0.1736 0.1711 0.1685 0.1660 0.1635 0.1611 0.2119 0.2061 0.2033 0.2005 0.1977 0.1949 0.1922 0.1894 0.1867 0.2420 0.2389 0.2358 0.2327 0.2266 0.2236 0.2206 0.2177 0.2148 0.2743 0.2709 0.2676 0.2643 0.2611 0.2578 0.2546 0.2514 0.2483 0.2451 -05 0.3085 0.3050 0.3015 0.2981 0.2946 0.2912 0.2877 0.2843 0.2810 0.2776 -04 0.3446 0.3409 0.3372 0.3336 0.3300 0.3264 0.3228 0.3192 0.3156 0.3121 0.3821 0.3783 0.3707 0.363 0.3557 0.3520 0.3483 0.4207 0.4168 0.4129 0.4090 0.4052 0.4013 0.3974 0.3936 0.3897 0.4602 0.4562 0.4522 0.4483 0.4443 0.4404 0.4364 0.4325 0.4286 0.5000 0.492 0.4880 0.4840 0.4801 0.4761 0.4721 0.4681 0.4641 0.5000 0.5120 0.5160 0.5279 0.5319 0.5359 0.5398 0.5438 0.5517 0.5557 0.5596 0.5636 0.5675 0.5714 0.5753 0.2 0.5793 0.5832 0.5871 0.5910 0.5948 0.5987 0.6026 0.6064 0.6103 0.6141 0.3 0.6179 0 0.6255 0.6293 0.6331 0.6368 0.6406 0.6443 0.6480 0.6517 0.4 0.6554 0.6591 0.662 0.6664 0.6700 0.6736 0.6772 0.6808 0.6844 0.6879 0.5 0.6915 0 0.698 0.7019 0.7088 0.7123 0.7157 0.7190 0.7224 0.6 0.7257 0.7291 0.7324 0 0.7357 0.7389 0.7422 0.7454 0.7486 0.7517 0.7549 0.7580 0 0.7642 0.7673 0.7704 0.7734 0.7764 0.7794 0.7852 0.8 0.7881 0.793 0.7967 0.7995 0.8051 0.8078 0.8106 0.8133 0.9 0.8159 0.8186 0.8212 0.8238 0.8264 0.8289 0.8315 5 0.8340 0.8365 LO 0.8413 0.8438 0.8461 0.8485 0.8508 0.8531 0.8554 10.8577 0.8599 0.8621