In a test of the effectiveness of garlic for lowering cholesterol, 42 subjects were treated with garlic in a processed t

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In A Test Of The Effectiveness Of Garlic For Lowering Cholesterol 42 Subjects Were Treated With Garlic In A Processed T 1 (70.76 KiB) Viewed 56 times

In a test of the effectiveness of garlic for lowering cholesterol, 42 subjects were treated with garlic in a processed tablet form. Cholesterol levels were measured before and after the treatment. The changes (before-after) in their levels of LDL cholesterol (in mg/dL) have a mean of 5.3 and a standard deviation of 15.3. Construct a 99% confidence interval estimate of the mean net change in LDL cholesterol after the garlic treatment. What does the confidence interval suggest about the effectiveness of garlic in reducing LDL cholesterol? Click here to view at distribution table. Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. What is the confidence interval estimate of the population mean u? mg/dL <u< mg/dL (Round to two decimal places as needed.) What does the confidence interval suggest about the effectiveness of the treatment? C O A. The confidence interval limits contain 0, suggesting that the garlic treatment did not affect the LDL cholesterol levels. O B. The confidence interval limits do not contain 0, suggesting that the garlic treatment did affect the LDL cholesterol levels. OC. The confidence interval limits contain 0, suggesting that the garlic treatment did affect the LDL cholesterol levels. O D. The confidence interval limits do not contain 0, suggesting that the garlic treatment did not affect the LDL cholesterol levels.
л Critical 1 value (negative) Left tail л Critical t value (negative) Right tail Critical f value (positive) Two tails Ā α/2 a/2 Critical t value (positive) Degrees of Freedom 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 5 五 25 四 30 31 32 26 27 28 29 33 34 35 36 37 38 39 40 45 50 60 70 80 90 100 200 300 400 500 1000 2000 Large Degrees of Freedom ✓ Distribution: Critical t Values 0.005 0.01 63.657 9.925 5.841 4.604 4.032 3.707 3.499 3.355 3.250 3.169 3.106 3.055 3.012 2.977 2.947 2.921 2.898 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 2.738 2.733 2.728 2.724 2.719 2.715 2.712 2.708 2.704 2.690 2.678 2.660 2.648 2.639 2.632 2.626 2.601 2.592 2.588 2.586 2.581 2.578 2.576 0.005 0.01 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 2.650 2.624 2.602 2.583 2.567 2.552 2.539 2.528 2.518 2.508 2.500 2.492 2.485 2479 2.473 2.467 2.462 2.457 2453 2.449 2.445 2441 2.438 2.434 2.431 2.429 2.426 2423 2.412 2.403 2.390 2.381 2.374 2.368 2.364 2345 2.339 2.336 2.334 2.330 2.328 2.326 0.01 0.02 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 2.160 2.145 2.131 2.120 2.110 2.101 2.093 2.086 2.080 2.074 2.069 2.064 2.060 2.056 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 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 Tails 0.05 0.05 0.10 6.314 2.920 2.353 2.132 2.015 1.943 1.895 1.860 1.833 1.812 1.796 1.782 1.771 1.761 1.753 1.746 1.740 1.734 1.729 1.725 1.721 1.717 1.714 1.711 1.708 1.706 1.703 1.701 1.699 1.697 1.696 1,694 1.692 1.691 1.690 1.688 1.687 1.686 1.685 1.684 1.679 1.676 1.671 1.667 1.664 1.662 1.660 1.653 1.650 1.649 1.648 1.646 1.646 1.645 0.05 0.10 0.10 0.20 3.078 1.886 1.638 1.533 1.476 1.440 1.415 1.397 1.383 1.372 1.363 1.356 1.345 1.341 1.337 1.333 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 1.309 1.309 1.308 1.307 1.306 1.306 1.305 1.304 1.304 1.303 1.301 1.299 1.296 1.294 1.292 1.291 1.290 1.286 1.254 1.284 1.283 1.282 1.282 1.282 0.10 0.20 Degrees of Freedom 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 5 8 8 488283822285 20 21 26 27 29 30 31 33 36 37 39 40 45 50 60 70 80 90 100 200 300 400 500 1000 2000 Large Degrees of Freedom
NEGATIVE z Scores -3.50 and lower -3.4 -3.3 -3.2 -2.1 -3.0 -2.9 -2.8 -2.7 -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 -12 -1.1 -1.0 -0.9 -0.8 -0.7 -0.6 -0.5 -0.4 -0.3 -0.2 -0.1 -0.0 Standard Normal (2) Distribution: Cumulative Area from the LEFT 01 02 04 05 .00 0001 0003 0005 0007 0010 0013 0019 0026 0035 0047 0062 0082 0107 0139 0179 0228 0287 0359 0446 0548 0668 0808 0968 1151 1587 1841 2119 .2420 2743 3085 3446 3821 4207 4602 5000 .0003 .0005 .0007 .0009 .0013 .0018 .0025 00:34 0045 0060 .0080 0104 0136 0174 0222 0281 0351 0436 0537 0655 .0793 Area 0.0500 0.0050 .0951 1131 1335 .1562 1814 2090 2389 2709 3050 3409 3783 4168 "Use these common values that result from interpolation: z Score -1.645 -2.575 0003 .0005 .0006 0009 .0013 0018 .0024 0033 0044 .0059 .0078 0102 0132 0170 0217 0274 0344 0427 0526 0643 .0778 0934 1112 .1314 4960 z .00 01 NOTE: For values of z below -3.49, use 0.0001 for the area. .1539 1788 2061 2358 2676 .3015 3372 3745 4129 4522 4920 02 .03 .0003 0004 0006 0009 0012 0017 .0023 0032 0043 0057 0075 .0099 0129 0166 0212 0268 0336 0418 0516 0630 0764 0918 .1093 1292 1515 1762 2033 2327 2643 2981 3336 3707 4090 4680 .03 0003 .0004 .0006 .0008 .0012 .0016 .0023 .0031 0041 0055 .0073 0096 0125 .0162 0207 0262 0329 .0409 0505 0618 .0749 0901 .1075 .1271 1492 .1736 2005 .2296 2611 2946 3300 3669 4443 4840 04 .0003 .0004 0006 .0008 .0011 0016 .0022 0030 0040 .0054 .0071 .0094 0122 .0158 0202 0256 0322 0401 0495 0606 0735 0885 .1056 .1251 .1469 1711 1977 2578 2912 3264 3632 4013 4404 4801 05 .06 0003 0004 .0006 .0008 0011 0015 0021 0029 0039 0052 .0069 0091 0119 0154 0197 0250 0314 0392 0485 0594 0721 0869 .1038 1230 1446 .1685 1949 2236 2546 2877 3228 3594 3974 4761 .06 .07 0003 0004 0005 0008 0011 0015 .0021 00:28 0038 0051 . .0068 .0089 0116 0150 0192 0244 0307 0384 0475 0582 .0708 0853 .1020 -1210 1423 .1660 1922 2206 2514 2843 3192 3557 3936 4721 07 08 0003 0004 .0005 0007 0010 0014 .0020 0027 0037 0049 0066 .0087 0113 0146 .0188 0239 0301 .0375 0465 0571 0694 0838 1003 1190 1401 1635 1894 2177 2483 2810 3156 3520 4286 4681 08 .09 0002 0003 0005 0007 0010 0014 0019 0026 0036 0048 0064 0084 0110 0143 0183 0233 0294 0367 0455 0559 0681 0823 0985 1170 1379 1611 1867 2148 2451 2776 3121 3483 3859 4247 4641 .09 -3.50€ lower -3.4 -3.3 -3.2 -3.1 -3.0 -2.9 -2.8 -2.7 -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 -0.9 -0.8 -0.7 -0.6 -05 -0.4 -0.3 -0.2 -0.1 -0.0 Z
Z 0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0 1.1 12 1.3 14 1.5 1.6 1.7 1.8 1.9 2.0 2.1 2.2 2.3 2.4 2.5 2.6 2.7 2.8 2.9 3.0 3.1 3.2 3.3 3.4 3.50 and up Z .00 5000 5398 5793 6179 6664 6915 7257 7580 7881 8159 8413 .8643 8849 9032 .9192 9452 .9564 9641 9713 .9772 9821 .9661 9893 .9918 9953 9965 9974 9981 9987 9990 9993 .9995 9997 0 2 Cumulative Area from the LEFT .01 5040 5438 5832 6217 .6591 .6950 .7291 .7611 .7910 .8186 .8438 .8665 .8889 9049 9207 9345 9463 9664 .9649 9719 9778 9826 .9864 .9896 9920 9940 9955 9966 9975 .9982 9987 9991 9993 9995 .9997 .02 5080 *Use these common values that result from interpolation z Score Area 1.645 0.9500 2.575 0.9960 5478 5871 6628 6985 .7324 .7642 .7939 .8212 .8461 .8686 8888 .9066 .8222 9357 .9474 .9673 .9656 9726 .9783 .9830 .9868 .9896 .9922 .9941 .9956 .9967 .9976 .9982 .9987 9991 .9994 .9995 .9997 .01 .00 NOTE: For values of zabove 3.49, use 0.9999 for the area. POSITIVE Z 02 .03 5120 .5517 5910 6293 .6664 7019 7357 7673 .7967 8238 .8485 8708 8907 9082 9236 9370 9484 9682 9664 9732 9788 9834 .9871 .9901 9925 9943 9957 9968 9977 9983 9988 9991 9994 9996 9997 .03 04 5160 5557 5948 6331 6700 7064 7389 7704 7995 8264 8508 8729 8925 9099 9251 9382 9496 * 9591 9671 9738 9793 9838 .9875 .9904 9927 9945 9959 6966 .9977 9984 9988 9992 9994 9996 .9997 04 .05 5199 5596 5987 6368 6736 7088 7422 7734 3023 8289 .8531 8749 8944 9115 9265 9394 9505 9699 9678 9744 9798 9842 9878 9906 9929 9946 9960 9970 9978 9984 9989 9992 9094 9996 9997 z Scores 05 .06 5239 5636 6026 6406 6772 7123 .7454 7764 8051 8315 .8554 8770 8962 9131 9279 9406 .9515 .9608 .9686 9750 9803 9646 .9681 .9909 9931 9961 .9971 .9979 .9985 9989 9992 9994 .9996 .9997 06 .07 5279 5675 6064 6443 6808 7157 7486 7794 8078 8340 .8577 8790 .8980 9147 9292 9418 9525 9616 9693 9756 9808 9850 9884 9911 9932 9949 9962 9972 9979 9985 9989 9992 9995 9996 .07 . .08 5319 5714 6103 6480 6844 .7190 7517 7823 .8106 .8365 .8599 8810 8997 9162 9306 9429 .9535 .9625 .9699 9761 9612 .9854 .9687 .9913 9934 9951 9963 9973 9980 .9986 .9990 9993 9995 .9996 .9997 .08 .09 5359 5753 6141 6517 0.95 0.99 6879 7224 .7549 .7852 8133 8389 .8621 .8830 9015 9177 $319 9441 9645 9633 9706 9767 9817 9857 9890 9916 9936 9952 9974 9981 9986 9990 9993 9995 9997 9998 .09 Common Critical Values Confidence Critical Level Value 0.90 1.645 1.96 2.575 Z 0.0 0.1 0.2 0.3 0.4 0.5 0.6 5 0.7 0.8 0.9 1.0 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8 1.9 2.0 2.1 2.2 2.3 2.4 2.5 26 27 2.8 2.9 3.0 3.1 32 3.3 3.4 3.50 and Z