7.2 Statistics

4. Determine the area under the standard normal curve that lies between (a) Z = - 1.93 and Z = 1.93, (b) Z = - 0.52 and Z= 0, and (c) Z = - 1.04 and Z = 0.08. Print * Click the icon to view a table of areas under the normal curve. (a) The area that lies between Z = - 1.93 and Z = 1.93 is (Round to four decimal places as needed.) (b) The area that lies between Z = - 0.52 and Z = 0 is (Round to four decimal places as needed.) c) The area that lies between Z = - 1.04 and Z = 0.08 is (Round to four decimal places as needed.) 4: Tables of Areas under the Normal Curve TABLE V Standard Normal Distribution 00 .01 02 .03 .04 .05 .06 .07 .08 Area -3.4 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0002 0.0005 0.0005 0.0005 0.0004 0.0004 0.0004 0.0004 0.0004 0.0004 4 0.0003 -3.2 0.0007 0.0007 6 0.0006 0.0006 0.0006 6 0.0006 0.0005 0.0005 0.0005 0.0010 0.0009 0.0009 0.0008 0.0008 0.0008 0.0007 0.0007 0.0013 0.0013 0.0013 0.0012 12 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 0.0026 0.0025 0.0024 0.0023 0.0023 0.0022 0.0021 0.0021 0.0020 0.0019 -27 0.0035 0.0034 0.0033 0.0032 0.0031 0.0030 0.0028 0.0027 0.0026 0.0047 0.0045 0.0044 0.0043 0.0041 0.0040 0.0039 0.0038 0.0037 0.0036 -2.5 0.0062 0.0060 0.0059 0.0057 57 0.0055 0.0054 0.0052 0.0051 0.0049 0.0048 0.0082 0.0080 0.0078 0.0073 0.0071 0.0069 0.0068 0.0066 0.0064 -2.3 0.0107 0.0104 0 0.0102 0.0099 0.0096 0.0094 0.0091 0.0089 0.0087 0.0084 -2.2 0.0139 0.0136 0.0132 0.0129 0.0125 0.0122 0.0119 0.0116 0.0113 0.0110 0.0179 0.0174 0.0170 0.0162 0.0158 0.0154 0.0150 0.0146 0.0143 0.0228 0.0222 0.0217 0.0212 0.0207 0.0202 0.0197 0.0192 0.0188 38 0.0183 0.0287 0.0281 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 2 0.0314 0.0307 0.0301 0.029 -1.7 0.0446 6 0.0436 0.0427 0.0418 0.0409 0.0401 0.0392 0.0384 0.0375 0.0367 -1.6 0.0548 0.0537 0.0526 0.0516 0.0505 0.0495 0.0485 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 0.0559 -1.4 0.0808 0.0793 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 0.090 5 0.0869 0.0853 0.0838 0.0823 -1.2 0.1151 0.1131 0.1112 0.1093 6 0.1038 0.1020 0.1003 0 -1.1 0.1357 0.1335 0.1314 4 0.1292 0.1271 0.1251 0.1230 0.1210 0.1190 10 0.1170 -1.0 0.1587 0.1562 0.1539 0.1515 0.1492 0.1469 0.1446 0.1423 0.1401 0.1379 -0.9 0.1841 0.1814 0.1762 0.1736 0.1711 0.1685 0.1660 0.1635 0.1611 0.2119 0.1977 0.1949 0.1894 0.1867 0.2420 0.2389 0.2358 0.2266 0.2236 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 0.2946 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 0.3594 0.3520 0.3483 0.4207 0.4168 0.4129 0.4052 0.3974 0.3936 0.3897 0.3859 0.4602 0.4562 0.4522 0 0.4483 0.4443 0.4404 0.4364 0.4247 0.5000 0.4960 0.4920 0.4880 0.4840 0.4801 0.4761 0.4721 0.4681 04641 0.1 0.3400 0.5040 0.5120 0.5160 0.5199 0.5239 0.5279 0.5319 0.5359 0.5398 0.5438 0.5478 0.5517 3.5675 05714 0.5753 0.2 0.5793 0.5832 0.58710 0.5948 0.6026 0.6064 0.6103 0.6141 03 0.6179 0.6217 0.6255 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 0.6915 0.6950 0.6985 0.7019 0.7054 0.7088 0.7123 0.7157 0.7190 0.7224 1.6 0.7257 0.7291 0.7324 0 0.7389 0.7422 0.7454 0.7517 0.7549 0.7 0.7580 0.7611 0.7642 0.7823 0.7852 0.8 0.7881 0.7910 0.7939 0.7995 0.8023 0.8051 0.8078 0.8106 0.8133 0.9 0.8159 0.8186 0.8212 0.8238 0.8264 0.8289 0.8315 0,8340 0.8365 0.8389 0.8413 0.8438 0.8461 0.8485 0.8508 0.8531 0.8554 0,8577 0.8599 0.862 0.8643 0.8665 0.8708 0.8729 0.8749 0.8770 0.8790 0.8810 0.8830 1.2 0.8849 0.8925 0.8944 0.8962 0.8997 0.9015 1.3 0.9032 0.9049 0.9066 0.9082 0.9099 0.9115 0.9131 0.9147 0.9162 0.9177 1.4 0.9192 0.9207 0.9222 0.9236 0.9251 0.9265 0.9279 0.9292 0.9306 0.9319 1.5 0.9332 0.9345 0.9357 0 0.9382 0.9394 0.9418 0.9429 0.9441 0.9452 0.9463 0.9474 0.9484 0.9495 0.9505 0.9515 0.9525 0.9535 0.9545 0.9534 0.9564 0.9573 0.9591 0.9608 0.9616 0.9625 0.9633 1.8 0.9641 0.9649 0.9656 0.9671 0.9693 0.9699 0.9706 1,9 0.9713 0.9719 0.9726 0.9732 0.9738 0.9744 0.9750 0.9756 0.9761 0.9767 2.0 0.9772 0.9778 0.9793 0.9812 0.9817 21 0.9821 0.9826 0.9830 0.9834 0.9838 0.9846 0.9850 0.9854 0.9857 0.9861 0.9864 0.9868 0.9875 0.9878 0.9881 0.9884 0.9887 23 0.9893 0.9896 0.9898 0.9904 0.9906 0.9909 0.9911 0.9913 0.9916 24 0.9918 0.9920 0.9922 0.9925 0.9927 0.9929 0.9931 0.9932 0.9934 0.9936 25 0.9940 0.9941 0.9945 0.9948 0.9951 0.9952 2.6 0.9953 0.9955 0.9956 0.9957 0.9959 0.9960 0.9961 0.9962 0.9963 0.9964 27 0.9965 0.9966 0.9967 0.9968 0.9969 0.9970 0.9971 0.9972 0.9973 28 0.9974 0.9975 0.9976 0.9977 0.9977 0.9978 0.9979 0.9979 0.9980 0.9981 29 0.9981 0.9982 0.9982 0,9983 0.9984 0.9984 0.9985 0,9985 0.9986 0.9986 3.0 0.9987 0.9987 0.9987 0.9988 0.9989 0.9990 0.9990 3.1 0.9990 0.9991 0.9991 0.9991 0.9992 0.9992 0.9992 0.9992 0.9993 0.9993 3.2 0.9993 0.9994 0.9994 0.9994 0 0.9994 0.9994 0.9995 5 0.9995 33 0.9995 0.9995 0 0.9996 0.9996 0.9996 0.999% 0.9996 0.9996 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9998 .01 .02 .03 .04 .05 .06 .07 5. Determine the total area under the standard normal curve for parts (a) through (c) below. For each, be sure to draw a standard normal curve and shade the area that is to be found. Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2)." (a) Determine the total area under the standard normal curve to the left of z = - 2 or to the right of z = 2. Draw a standard normal curve and shade the area that is to be found. Choose the correct graph below. O Click here to view graph b." Click here to view graph c. 8 Click here to view graph d.9 O Click here to view graph a. 10 The total area under the standard normal curve to the left of z= - 2 or to the right of z = 2 is (Round to four decimal places as needed.) (b) Determine the total area under the standard normal curve to the left of z = - 2.27 or to the right of z = 1.27. Draw a standard normal curve and shade the area that is to be found. Choose the correct graph below. O Click here to view graph c. 11 O Click here to view graph b. 12 Click here to view graph d. 13 O Click here to view graph a. 14 The total area under the standard normal curve to the left of z = - 2.27 or to the right of z = 1.27 is (Round to four decimal places as needed.) (c) Determine the total area under the standard normal curve to the left of z = - 0.34 or to the right of z = 1.57. Draw a standard normal curve and shade the area that is to be found. Choose the correct graph below. O Click here to view graph a. 15 O Click here to view graph d. 16 Click here to view graph b. 17 Click here to view graph c. 18