in a test of the effectiveness of garlic for lowering cholesterol, 47 subjects were treated with garlic in a processed t
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Critical t values Critical t value (negative) Left tail Right tail Degrees of Freedom 1 2 3 5 8 9 10 11 12 13 14 15 16 17 t Distribution: Critical / Values 0.005 0.01 63.657 9.925 5.841 4.604 4.032 3.707 3.499 3.355 3.250 3.100 3.106 3.055 3.012 2.977 2.947 2.921 2.000 0.01 0.02 31.821 6.965 4.541 3.747 3.365 3.143 2.998 2.896 2.821 2.764 2.718 2.681 2.050 2.624 2002 2.583 2.567 Area in One Tail 0.025 Area in Two Tails 0.05 12.706 4.303 3.182 2.776 2.571 2.447 2.365 2.306 2.262 2.228 2.201 2.179 2.100 2.145 2.131 2.120 2.110 0.05 0.10 6.314 2.920 2.353 2.132 2015 1.943 1.895 1.860 1.833 1.812 1.790 1.782 1.771 1.761 1.753 1.746 1.740 0.10 0.20 3.078 1.886 1638 1.533 1.476 1.440 1415 1.397 1.383 1.372 1.363 1.356 1.350 1.345 1.341 1.337 1.333 Degrees of Freedom 2 10 11 12 13 14 15 16 17
Critical t values Two tails Critical f value (positive) 2285 18 19 20 21 22 23 24 25 26 27 29 29 30 31 32 33 34 35 36 37 38 889 2.878 2.861 2.845 2.831 2.819 2.807 2.797 2.787 2.779 2.771 2.763 2.756 2.750 2.744 2.730 2.733 2.728 2.724 2.719 2715 2.712 2.708 2.704 2.552 2.539 2.528 2518 2.500 2.500 2.492 2.485 2.479 2.473 2.467 2.462 2.457 2.453 2.449 2.445 2.441 2.438 2.434 2.431 2,429 2.426 2.423 2.101 2003 2006 2.000 2074 2.069 2064 2.000 2056 2.052 2.048 2.045 2.042 2.040 2.037 2.035 2.032 2.030 2.028 2.026 2.024 2.023 2.021 1.734 1.729 1.725 1.721 1.717 1.714 1.711 1.700 1.706 1.700 1.701 1.099 1.697 1.606 1.004 1.002 1.691 1.000 1.668 1.687 1.686 1.685 1.684 1.330 1.328 1.325 1.323 1.321 1.319 1.318 1.316 1.315 1.314 1.313 1.311 1.310 1.300 1.300 1.306 1.307 1.306 1.306 1.305 1.304 1.304 1.303 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 35
a/2 Critical t value (negative) a/2 Critical t value (positive) 28828888 ROBES 45 50 60 70 80 90 100 200 300 400 500 1000 2000 Large Degrees of Freedom 2.690 2.678 2.660 2.648 2.639 2.632 2.626 2.601 2.582 2.588 2.586 2.581 2.578 2.576 0.005 0.01 2412 2.403 2.390 2301 2374 2.368 2.364 ESS 2.345 2.339 2.336 2.334 2.330 2.328 2.326 0.01 0.02 2014 2.009 2.000 1.994 1.990 1.987 1.984 1.972 1.968 1.966 1.965 1.962 1.961 1.960 Area in One Tail 0.025 Area in Two Talls 0.05 1.679 1.676 1.671 1.667 1.664 1.662 1.660 1.653 1.650 1.649 1.548 1.646 1.646 1.645 0.05 0.10 1.301 1.299 1.296 1.294 1.292 1.291 1,290 1.286 1.284 1.284 1.283 1.282 1.282 1.282 0.10 0.20 45 50 60 70 80 90 100 200 300 400 500 1000 2000 Degrees of Freedom
Cumulative area to the left of negative z scores NEGATIVE z Scores 2 -3.50 and -3.4 -33 -3.2 -31 -3.0 -2.9 -28 -2.7 Standard Normal (2) Distribution: Curqulative Area from the LEFT 04 05 0001 0003 9000 0007 0010 0013 6100 0026 0035 0003 0005 0007 6000 0013 0018 0025 0034 0003 0005 9000 6000 0013 0018 0024 0033 0003 0004 9000 6000 0012 0017 0023 0032 0003 0004 9000 0008 0012 0016 0023 0031 0003 0004 9000 0008 0011 0016 0022 0030 06 0003 0004 9000 9000 0011 0015 0021 0029 N .07 0003 0004 9000 9000 0011 0015 0021 0028 to .08 0003 0004 0005 0007 0010 0014 0020 0027 60 0002 0003 9000 0007 0010 0014 0019 0026 2 -3.50 and lower -3.4 -3.3 -3.2 -3.1 -3.0 -2.0 -2.8 -27 1 X
Cumulative area to the left of negative z scores -2.6 -2.5 -2.4 -2.3 -2.2 -2.1 -2.0 -1.9 -1.8 -1.7 -1.6 -1.5 -1.4 -1.3 -1.2 -1.1 -1.0 An 0047 0062 0082 0107 0139 0179 0228 0287 0359 0446 0548 0668 0808 0968 1151 1357 1587 0045 0060 0080 0104 0136 0174 0222 0281 0351 0436 0537 0655 0793 0951 1131 1335 1562 TRES 0044 0059 0078 0102 0132 0170 0217 0274 0344 0427 0526 0643 0778 0934 1112 1314 1539 0043 0057 0075 0099 0129 0166 0212 0268 0336 0418 0516 0630 0764 0918 1003 1292 1515 0041 0055 0073 0096 0125 0162 0207 0262 0329 0409 0505 0618 0749 0901 1075 1271 1492 . 0040 0054 0071 0094 0122 0158 0202 0256 0322 0401 0495 0606 0735 0885 1056 1251 1469 HILF 0039 0052 0069 0091 0119 0154 0197 0250 0314 0392 0485 0594 0721 0860 1038 1230 1446 0038 0051 0068 0089 0116 0150 0192 0244 0307 0384 0475 0582 0708 0853 1020 1210 1423 www 0037 0049 0066 0087 0113 0146 0188 02:39 0301 0375 0465 0571 0694 0838 1000 1190 1401 0036 0048 1900 0084 0110 0143 0183 0233 0294 0367 J 0455 0559 0681 0823 0985 1170 1379 **** -2.6 -2.5 -24 -2.3 -22 -2.1 -2.0 -1.9 -1.8 -1.7 -1.6 -1.5 -1.4 -1.3 -1.2 -11 -1.0
Cumulative area to the left of negative z scores -0.9 -0.8 -0.7 -0.6 -0.5 -0.4 -0.3 -0.2 -0.1 -0.0 1841 2119 2420 2743 3085 3446 3821 4207 4602 5000 1814 2090 .00 2389 2709 3050 3409 3783 4168 4562 4960 1788 2061 2358 01 2 NOTE: For values of z below-3.49, use 0.0001 for the area "Use these common values that result from interpolation: Area Score -1.645 0.0500 -2.575 0.0050 2676 3015 3372 3745 4129 4522 4920 02 .1762 2033 2327 2643 2981 3336 3707 4000 4483 4880 03 1736 2005 2296 2611 2946 3300 3669 4052 4443 4840 04 1711 1977 2266 2578 2912 3264 3632 4013 4404 4801 05 1685 1949 2236 2546 2877 3228 3594 4364 4761 .06 1660 1922 2206 2514 2843 3192 3557 3936 4325 4721 07 1635 1894 2177 2483 2810 3156 3520 3897 4286 4681 .08 1611 1867 2148 2451 2776 3121 3483 3850 4247 4661 .09 -0.9 -0.8 -0.7 -0.6 -0.5 -0.4 -0.3 -0.2 -0.1 -0.0 2 I
to th Wat 10 Cumulative area to the left of positive z scores 2 SEEEEReg 0.0 0.1 02 0.3 0.4 0.5 0.7 00 5000 5398 5793 6179 0554 6015 7257 7580 0 2 Cumulative Area from the LEFT 01 5040 5438 5832 6217 6501 6950 7291 7611 02 5080 5478 5871 6255 6628 POSITIVE z Scores 6985 7324 7642 03 5120 5517 5910 6293 6664 7019 7357 7673 04 5160 5557 5948 6331 6700 7054 7389 7704 05 5190 5596 5987 6736 7088 7422 7734 06 5239 5636 6026 6406 6772 7123 7454 7764 07 5279 5675 6064 6443 6808 7157 7400 7794 08 5319 5714 6103 6480 6844 7190 7517 7823 09 5359 5753 6141 6517 6879 7224 7549 7852 2 0.0 geeeeee- 0.1 0.2 0.3 0.4 0.5 0.6 07 I
st w to Boo T TI T TI Cumulative area to the left of positive z scores 0.8 0.9 1.0 1.1 1.2 13 1.4 1.5 1.6 1.7 1.8 1.9 2.0 2.1 2.2 2.3 2.4 7881 8159 8413 8643 8849 9032 9192 9332 9452 9554 9641 9713 9772 9621 9861 9893 9918 7910 8186 8438 8665 8869 9049 9207 9345 9463 9564 9649 9719 9778 9826 9864 9096 9920 7939 8212 8461 8888 9066 9222 9357 9474 9573 9656 9726 9783 9830 9668 9098 9922 7967 8238 8485 8708 8907 9082 9236 9370 9484 9582 9664 9732 9788 9834 9671 9901 9925 7995 8264 8508 8729 8925 9099 9251 9382 9495 . 9591 9671 9738 9793 9838 9875 9904 9927 8023 8289 8531 8749 8944 9115 9265 9394 9505 9599 9678 9744 9798 9842 9878 9906 9929 8051 8315 8554 8770 8962 9131 9279 9406 9515 9608 9686 9750 9803 9646 9881 9909 9931 8078 8340 8577 8790 8960 9147 9292 9418 9525 9616 9693 9756 9808 9850 9884 9911 9932 8106 8365 8599 8810 8997 9162 9306 9429 9535 9625 9699 9761 9812 9854 9887 9913 9934 8133 8389 8621 8830 9015 9177 9319 9441 9545 9633 9706 9767 9817 9857 9890 9916 9936 0.8 0.9 1.0 1.1 1.2 1.3 1.4 1.5 1.6 22223233 1.7 1.8 1.9 20 2.1 24
Cumulative area to the left of positive z scores 2.5 2.6 27 2.8 2.9 ot L'E 32 CE 3.4 3.50 and up 2 9938 E966 9965 9974 1966 2066 9990 9903 9666 2666 9999 00 9940 9966 9966 9975 9982 9987 1666 9903 9995 9997 5 10° 1166 9956 9967 9976 9982 2966 1666 9994 9995 9997 20 8 E166 9957 9968 9977 1966 9988 1666 1666 9666 03 9945 9959 6966 9977 1966 9988 9992 9066 9666 9997 04 9766 9960 9970 9978 9964 9999 9992 9992 9994 9997 9948 9961 9971 05 6/66 9985 6065 1660 9666 1666 90⁰ 9949 9962 9972 9979 9985 6966 9992 5666 9666 1666 07 . 1966 £966 C/66 9960 9906 0666 1666 9995 9666 1666 90 2566 9964 9974 9981 .9966 9990 0666 5666 9997 9666 60 2.5 2.6 2.7 28 2.9 30 10 ZE CE VE dn put 05 C 2
,00 01 NOTE: For values of zabove 3.49, use 0.9999 for the area. "Use these common values that result from interpolation: 2Score Area 1.645 0.9500 2.575 0.9950 .02 .03 8 04 05 06 07 08 09 Common Critical Values Confidence Level 0.90 0.95 0.99 Critical Value 1.645 1.96 2.575