Question: Question 1. A) Using the z-table in your book, find the probabilities for the following z-values: i) 1.96 ii) 2.57 iii) 3.29 B) What are

Question 1.

A) Using the z-table in your book, find the probabilities for the following z-values:

i) 1.96

ii) 2.57

iii) 3.29

B) What are the two-tailed p-values for each probability from part A?

ii)

iii)

Question 1.A) Using the z-table in your book, find the probabilities for

Standard Normal Probabilities Standard Normal Proba Table entry Z-table Find the Table entry for z is the area under the standard normal curve Table entry for z is the area under the standard normal curve to the left of c. to the left of c. probability .02 .03 .04 .05 .06 .07 .08 .09 .00 .01 -02 .03 .04 .05 -06 -07 .08 .09 .00 .01 for a z-value 5359 .0003 0003 0003 .0003 0003 0003 .0003 0002 0.0 5000 5040 5080 -5120 .5160 5199 5239 5279 5319 -3.4 .0003 0003 0003 5398 5438 5478 5517 $557 5596 5636 5675 5714 5753 of 3.23 -3.3 .0005 0005 10005 0004 0004 .0004 000- 0004 0004 0.1 .0006 0006 0006 0006 0005 0005 0005 0.2 5793 .5832 5871 .5910 .5948 5987 .6026 .6064 6103 6141 -3.2 .0007 0007 0006 6517 10009 0009 0008 0008 .0008 DO07 0007 0.3 .6179 6217 625 .6293 6331 6368 6406 6443 6480 -3.1 .0010 6736 .6808 6844 0010 0010 6554 .6591 6628 6664 .6700 .6772 6879 0.4 -3.0 -0013 0013 0013 0012 0012 0011 .0011 ,0011 0016 .0015 .0015 0014 0014 0.5 .6915 6950 6985 7019 7054 7088 .7123 7157 7190 .7224 -2.9 40019 0018 .0018 0017 0016 0025 .0023 0023 0022 .0021 .0021 0020 0015 0.6 .7257 7291 7324 .7357 7389 7422 .7454 .7486 .7517 .7549 -2.8 .0026 0024 .7764 .7794 7823 .7852 -2.7 .0035 0034 .0033 0032 .0031 .0030 0029 DO28 0027 0026 0.7 .7580 7611 .7642 7673 .7704 .7734 0038 0037 .0036 0.8 .7881 7910 .7939 .7967 .7995 8023 .8051 8078 8106 8133 -2.6 0047 .0045 .0044 .0043 .0041 .0040 .0039 0.9 8159 8186 8212 P 238 8264 8289 .8315 8340 8365 8389 -2.5 .0062 .0060 0059 0057 .0055 0054 0052 0051 0049 0048 0071 .0069 0068 0066 0064 1.0 .8413 8438 -8461 -3485 3508 .8531 .8554 .8577 .8599 8621 -2.4 .0082 .0080 .0078 .0075 0073 8749 8770 8790 8810 8830 -2.3 0107 0104 .0102 0099 .0096 0094 .0091 0089 0087 0084 1.1 8643 8665 8686 .6708 .8729 0110 1.2 8849 8869 8888 .8907 .8925 8944 8962 8980 8997 9015 -2 2 .0139 0136 0132 0129 .0125 0122 .0119 ,0116 0113 9162 9177 -2.1 .0179 .0174 0170 0166 .0162 .0158 0154 0150 0146 0143 1.3 .9032 .9049 9066 .9082 9099 9115 9131 .9147 0192 0188 0183 1.4 .9192 .9207 9222 9236 9251 9265 .9279 .9292 9306 9319 -2.0 .0228 0222 .0217 0212 0207 0202 0197 0244 0239 0233 1.5 .9332 .9345 9357 9370 9382 9394 9406 .9418 9429 .9441 -1.9 -0287 0281 0274 0268 0262 10256 0250 .9495 .9505 .9515 .9525 9535 9545 -1.8 .0359 0351 034 0336 0329 0322 ,0314 .0307 0301 0294 1.6 .9452 .9463 9474 .9484 .9582 9591 9599 .9608 9616 9625 .9633 -1.7 .0446 10436 .0427 0418 .0409 0401 .0392 0384 .0375 .0367 1.7 9554 9564 9573 9641 .9649 .9656 .9664 .9671 .9678 9686 .9693 9699 .9706 .0548 0537 .0526 0516 0505 0485 0465 0455 1.8 -1.6 0495 .0475 0606 0594 0582 .0571 0559 1.9 .9713 9719 .9726 .9732 .9738 9744 9750 9756 976 .9767 -1.5 0668 0655 0643 0630 0618 9812 .9817 0793 .0721 0708 0694 0681 10808 0778 .0764 0749 0735 2.0 .9772 9778 .9783 9788 .9793 .9798 9803 .9808 -1.4 9850 9854 9857 1.3 .0968 0951 0934 0918 .0901 0885 0869 0853 0838 .0823 2.1 9821 .9826 .9830 9834 9838 9842 9846 1075 .1056 1038 1020 .1003 .0985 2.2 9861 9864 .9868 .9871 9875 9878 9881 .9884 9887 9890 -1.2 .1151 1131 1112 1093 .1210 .1190 1170 2.3 .9893 9896 9898 9901 9904 9906 9909 9911 9913 9916 -1.1 .1357 .1335 .1314 1292 1271 1251 1230 .1492 1469 .1446 .1423 1401 1379 2.4 .9918 .9920 .9922 .9925 .9927 .9929 .9931 .9932 9934 9936 -1.0 -1587 .1562 .1539 .1515 .9940 9941 9943 19945 9946 .9948 9949 9951 .9952 -0.9 1841 1814 .1788 1762 -1736 1711 .1685 1660 .1635 1611 2.5 9938 .9962 .9963 9964 0.8 .2119 .2090 2061 .2033 .2005 .1977 .1949 1922 .1894 1867 2.6 9953 .9955 .9956 .9957 .9959 .9960 9961 2358 2327 2296 2266 2236 .2206 2177 .2148 2.7 .9965 9966 .9967 .9968 9969 9970 9971 9972 .9973 9974 -0.7 .2420 2389 .2578 .2546 2514 2483 2451 2.8 .9974 .9975 .9976 .9977 .9977 9978 .9979 .9979 .9980 .9981 -0.6 .2743 2709 2676 2643 .2611 2.9 .9981 9982 .9982 .9983 .9984 9984 .9985 .9985 9986 9986 -0.5 3085 3050 3015 2981 2946 2912 2877 .2843 .2810 .2776 .9987 .9987 9987 .9988 .9988 .9989 .9989 .9989 9990 9990 -3446 .3409 3372 3336 3300 3264 .3228 .3192 3156 3121 3.0 -0.4 .9992 .9992 .9992 9992 9993 9993 -0.3 .3821 .3783 .3745 3707 .3669 3632 3594 .3557 3520 .3483 3.1 .9990 9991 9991 4168 4129 4090 .4052 4013 -3974 .3936 3897 .3859 3.2 .9993 9993 .9994 .9994 .9994 9994 .9994 .9995 9995 9995 -0.2 .4207 .4364 .4325 4286 4247 3.3 .9995 9995 9995 .9996 9996 9996 9996 9996 9996 9997 -0.1 .4602 4562 .4522 4483 .4443 4404 .9998 4880 .4840 .4801 .4761 .4721 4681 .4641 3.4 9997 .9997 .9997 9997 .9997 9997 -9997 9997 .9997 -0.0 .5000 4960 -4920

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