Statitstics Assignment 4
jmacel
statistics_assignment_4.zipW4A3 - Quiz/negative & positive z-score tables.pdf
566 A P P E N D I X A
0z NEGATIVE z Scores
*
TABLE A-2 Standard Normal (z) Distribution: Cumulative Area from the LEFT
z .00 .01 .02 .03 .04 .05 .06 .07 .08 .09
�3.50 and
lower .0001 �3.4 .0003 .0003 .0003 .0003 .0003 .0003 .0003 .0003 .0003 .0002 �3.3 .0005 .0005 .0005 .0004 .0004 .0004 .0004 .0004 .0004 .0003 �3.2 .0007 .0007 .0006 .0006 .0006 .0006 .0006 .0005 .0005 .0005 �3.1 .0010 .0009 .0009 .0009 .0008 .0008 .0008 .0008 .0007 .0007 �3.0 .0013 .0013 .0013 .0012 .0012 .0011 .0011 .0011 .0010 .0010 �2.9 .0019 .0018 .0018 .0017 .0016 .0016 .0015 .0015 .0014 .0014 �2.8 .0026 .0025 .0024 .0023 .0023 .0022 .0021 .0021 .0020 .0019 �2.7 .0035 .0034 .0033 .0032 .0031 .0030 .0029 .0028 .0027 .0026 �2.6 .0047 .0045 .0044 .0043 .0041 .0040 .0039 .0038 .0037 .0036 �2.5 .0062 .0060 .0059 .0057 .0055 .0054 .0052 .0051 .0049 .0048 �2.4 .0082 .0080 .0078 .0075 .0073 .0071 .0069 .0068 .0066 .0064 �2.3 .0107 .0104 .0102 .0099 .0096 .0094 .0091 .0089 .0087 .0084 �2.2 .0139 .0136 .0132 .0129 .0125 .0122 .0119 .0116 .0113 .0110 �2.1 .0179 .0174 .0170 .0166 .0162 .0158 .0154 .0150 .0146 .0143 �2.0 .0228 .0222 .0217 .0212 .0207 .0202 .0197 .0192 .0188 .0183 �1.9 .0287 .0281 .0274 .0268 .0262 .0256 .0250 .0244 .0239 .0233 �1.8 .0359 .0351 .0344 .0336 .0329 .0322 .0314 .0307 .0301 .0294 �1.7 .0446 .0436 .0427 .0418 .0409 .0401 .0392 .0384 .0375 .0367 �1.6 .0548 .0537 .0526 .0516 .0505 .0495 .0485 .0475 .0465 .0455 �1.5 .0668 .0655 .0643 .0630 .0618 .0606 .0594 .0582 .0571 .0559 �1.4 .0808 .0793 .0778 .0764 .0749 .0735 .0721 .0708 .0694 .0681 �1.3 .0968 .0951 .0934 .0918 .0901 .0885 .0869 .0853 .0838 .0823 �1.2 .1151 .1131 .1112 .1093 .1075 .1056 .1038 .1020 .1003 .0985 �1.1 .1357 .1335 .1314 .1292 .1271 .1251 .1230 .1210 .1190 .1170 �1.0 .1587 .1562 .1539 .1515 .1492 .1469 .1446 .1423 .1401 .1379 �0.9 .1841 .1814 .1788 .1762 .1736 .1711 .1685 .1660 .1635 .1611 �0.8 .2119 .2090 .2061 .2033 .2005 .1977 .1949 .1922 .1894 .1867 �0.7 .2420 .2389 .2358 .2327 .2296 .2266 .2236 .2206 .2177 .2148 �0.6 .2743 .2709 .2676 .2643 .2611 .2578 .2546 .2514 .2483 .2451 �0.5 .3085 .3050 .3015 .2981 .2946 .2912 .2877 .2843 .2810 .2776 �0.4 .3446 .3409 .3372 .3336 .3300 .3264 .3228 .3192 .3156 .3121 �0.3 .3821 .3783 .3745 .3707 .3669 .3632 .3594 .3557 .3520 .3483 �0.2 .4207 .4168 .4129 .4090 .4052 .4013 .3974 .3936 .3897 .3859 �0.1 .4602 .4562 .4522 .4483 .4443 .4404 .4364 .4325 .4286 .4247 �0.0 .5000 .4960 .4920 .4880 .4840 .4801 .4761 .4721 .4681 .4641
NOTE: For values of z below �3.49, use 0.0001 for the area. *Use these common values that result from interpolation:
z score Area
�1.645 0.0500
�2.575 0.0050
*
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A p p e n d i x A 567
0 z
TABLE A-2 (continued ) Cumulative Area from the LEFT
z .00 .01 .02 .03 .04 .05 .06 .07 .08 .09
0.0 .5000 .5040 .5080 .5120 .5160 .5199 .5239 .5279 .5319 .5359 0.1 .5398 .5438 .5478 .5517 .5557 .5596 .5636 .5675 .5714 .5753 0.2 .5793 .5832 .5871 .5910 .5948 .5987 .6026 .6064 .6103 .6141 0.3 .6179 .6217 .6255 .6293 .6331 .6368 .6406 .6443 .6480 .6517 0.4 .6554 .6591 .6628 .6664 .6700 .6736 .6772 .6808 .6844 .6879 0.5 .6915 .6950 .6985 .7019 .7054 .7088 .7123 .7157 .7190 .7224 0.6 .7257 .7291 .7324 .7357 .7389 .7422 .7454 .7486 .7517 .7549 0.7 .7580 .7611 .7642 .7673 .7704 .7734 .7764 .7794 .7823 .7852 0.8 .7881 .7910 .7939 .7967 .7995 .8023 .8051 .8078 .8106 .8133 0.9 .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 3.50 .9999 and up
NOTE: For values of z above 3.49, use 0.9999 for the area. *Use these common values that result from interpolation:
z score Area
1.645 0.9500
2.575 0.9950
*
*
Common Critical Values
Confidence Critical Level Value
0.90 1.645
0.95 1.960
0.99 2.575
POSITIVE z Scores
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W4A3 - Quiz/t-table.pdf
Tables •
T-11
Table entry for p and C is the critical value t! with probability p lying to its right and probability C lying between "t! and t!.
Probability p
t*
TABLE D
t distribution critical values
Upper-tail probability p
df .25 .20 .15 .10 .05 .025 .02 .01 .005 .0025 .001 .0005
1 1.000 1.376 1.963 3.078 6.314 12.71 15.89 31.82 63.66 127.3 318.3 636.6 2 0.816 1.061 1.386 1.886 2.920 4.303 4.849 6.965 9.925 14.09 22.33 31.60 3 0.765 0.978 1.250 1.638 2.353 3.182 3.482 4.541 5.841 7.453 10.21 12.92 4 0.741 0.941 1.190 1.533 2.132 2.776 2.999 3.747 4.604 5.598 7.173 8.610 5 0.727 0.920 1.156 1.476 2.015 2.571 2.757 3.365 4.032 4.773 5.893 6.869 6 0.718 0.906 1.134 1.440 1.943 2.447 2.612 3.143 3.707 4.317 5.208 5.959 7 0.711 0.896 1.119 1.415 1.895 2.365 2.517 2.998 3.499 4.029 4.785 5.408 8 0.706 0.889 1.108 1.397 1.860 2.306 2.449 2.896 3.355 3.833 4.501 5.041 9 0.703 0.883 1.100 1.383 1.833 2.262 2.398 2.821 3.250 3.690 4.297 4.781
10 0.700 0.879 1.093 1.372 1.812 2.228 2.359 2.764 3.169 3.581 4.144 4.587 11 0.697 0.876 1.088 1.363 1.796 2.201 2.328 2.718 3.106 3.497 4.025 4.437 12 0.695 0.873 1.083 1.356 1.782 2.179 2.303 2.681 3.055 3.428 3.930 4.318 13 0.694 0.870 1.079 1.350 1.771 2.160 2.282 2.650 3.012 3.372 3.852 4.221 14 0.692 0.868 1.076 1.345 1.761 2.145 2.264 2.624 2.977 3.326 3.787 4.140 15 0.691 0.866 1.074 1.341 1.753 2.131 2.249 2.602 2.947 3.286 3.733 4.073 16 0.690 0.865 1.071 1.337 1.746 2.120 2.235 2.583 2.921 3.252 3.686 4.015 17 0.689 0.863 1.069 1.333 1.740 2.110 2.224 2.567 2.898 3.222 3.646 3.965 18 0.688 0.862 1.067 1.330 1.734 2.101 2.214 2.552 2.878 3.197 3.611 3.922 19 0.688 0.861 1.066 1.328 1.729 2.093 2.205 2.539 2.861 3.174 3.579 3.883 20 0.687 0.860 1.064 1.325 1.725 2.086 2.197 2.528 2.845 3.153 3.552 3.850 21 0.686 0.859 1.063 1.323 1.721 2.080 2.189 2.518 2.831 3.135 3.527 3.819 22 0.686 0.858 1.061 1.321 1.717 2.074 2.183 2.508 2.819 3.119 3.505 3.792 23 0.685 0.858 1.060 1.319 1.714 2.069 2.177 2.500 2.807 3.104 3.485 3.768 24 0.685 0.857 1.059 1.318 1.711 2.064 2.172 2.492 2.797 3.091 3.467 3.745 25 0.684 0.856 1.058 1.316 1.708 2.060 2.167 2.485 2.787 3.078 3.450 3.725 26 0.684 0.856 1.058 1.315 1.706 2.056 2.162 2.479 2.779 3.067 3.435 3.707 27 0.684 0.855 1.057 1.314 1.703 2.052 2.158 2.473 2.771 3.057 3.421 3.690 28 0.683 0.855 1.056 1.313 1.701 2.048 2.154 2.467 2.763 3.047 3.408 3.674 29 0.683 0.854 1.055 1.311 1.699 2.045 2.150 2.462 2.756 3.038 3.396 3.659 30 0.683 0.854 1.055 1.310 1.697 2.042 2.147 2.457 2.750 3.030 3.385 3.646 40 0.681 0.851 1.050 1.303 1.684 2.021 2.123 2.423 2.704 2.971 3.307 3.551 50 0.679 0.849 1.047 1.299 1.676 2.009 2.109 2.403 2.678 2.937 3.261 3.496 60 0.679 0.848 1.045 1.296 1.671 2.000 2.099 2.390 2.660 2.915 3.232 3.460 80 0.678 0.846 1.043 1.292 1.664 1.990 2.088 2.374 2.639 2.887 3.195 3.416
100 0.677 0.845 1.042 1.290 1.660 1.984 2.081 2.364 2.626 2.871 3.174 3.390 1000 0.675 0.842 1.037 1.282 1.646 1.962 2.056 2.330 2.581 2.813 3.098 3.300
z! 0.674 0.841 1.036 1.282 1.645 1.960 2.054 2.326 2.576 2.807 3.091 3.291
50% 60% 70% 80% 90% 95% 96% 98% 99% 99.5% 99.8% 99.9%
Confidence level C
Integre Technical Publishing Co., Inc. Moore/McCabe November 16, 2007 1:29 p.m. moore page T-11
