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Sleep apnea is a disorder in which you have one or more pauses in breathing or shallow breaths while you sleep. In a cross-sectional study of 430 adults who suffer from sleep apnea, it was found that 215 had gum disease. Note: In the general population, about 17.5% of individuals have gum disease. Complete parts (a) through (c) below. Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). Click here to view the table critical t-values (a) What does it mean for this study to be cross-sectional? O A. The data were obtained over the course time and the study was an observational study. O B. The data were obtained at a specific point in time and the study was an observational study. OC. The data were obtained over the course of time and the study was an experiment. O D. The data were obtained at a specific point in time and the study was an experiment. (b) What is the variable of interest in this study? Is it qualitative or quantitative? Explain. Identify the variable of interest. Choose the correct answer below. O A. Whether a person has gum disease or not. O B. Whether person with sleep apnea has gum disease or not. OC. The proportion of gum disease present in those with sleep apnea. O D. Whether a person has sleep apnea or not. Determine whether the variable in question is qualitative or quantitative. Choose the correct answer below. O A. Quantitative-the variable classifies the individuals in the study. O B. Qualitative-the variable can be numerically measured. O c. Quantitative-the variable can be numerically measured. O D. Qualitative-the variable classifies the individuals in the study. (c) Estimate the proportion of individuals who suffer from sleep apnea who have gum disease with 99% confidence. Interpret your result. Select the correct choice below and fill in the answer boxes to complete your choice. (Use ascending order. Round to three decimal places as needed.) O A. There is 99% confidence that the population proportion of individuals who suffer from sleep apnea who have gum disease between and O B. 99% of the population lies in the interval between and O C. There is a 99% chance that the true population proportion of individuals who suffer from sleep apnea who have gum disease is between and

Sleep apnea is a disorder in which you have one or more pauses in breathing or shallow breaths while you sleep. In a cross-sectional study of 430 adults who suffer from sleep apnea, it was found that 215 had gum disease. Note: In the general population, about 17.5% of individuals have gum disease. Complete parts (a) through (c) below. Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). Click here to view the table critical t-values (a) What does it mean for this study to be cross-sectional? O A. The data were obtained over the course time and the study was an observational study. O B. The data were obtained at a specific point in time and the study was an observational study. OC. The data were obtained over the course of time and the study was an experiment. O D. The data were obtained at a specific point in time and the study was an experiment. (b) What is the variable of interest in this study? Is it qualitative or quantitative? Explain. Identify the variable of interest. Choose the correct answer below. O A. Whether a person has gum disease or not. O B. Whether person with sleep apnea has gum disease or not. OC. The proportion of gum disease present in those with sleep apnea. O D. Whether a person has sleep apnea or not. Determine whether the variable in question is qualitative or quantitative. Choose the correct answer below. O A. Quantitative-the variable classifies the individuals in the study. O B. Qualitative-the variable can be numerically measured. O c. Quantitative-the variable can be numerically measured. O D. Qualitative-the variable classifies the individuals in the study. (c) Estimate the proportion of individuals who suffer from sleep apnea who have gum disease with 99% confidence. Interpret your result. Select the correct choice below and fill in the answer boxes to complete your choice. (Use ascending order. Round to three decimal places as needed.) O A. There is 99% confidence that the population proportion of individuals who suffer from sleep apnea who have gum disease between and O B. 99% of the population lies in the interval between and O C. There is a 99% chance that the true population proportion of individuals who suffer from sleep apnea who have gum disease is between and

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Sleep apnea is a disorder in which you have one or more pauses in breathing or shallow breaths while you sleep. In a cross-sectional study of 430 adults who suffer from sleep apnea, it was found that 215 had gum disease. Note: In the general population, about 17.5% of individuals have gum disease. Complete parts (a) through (c) below. Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). Click here to view the table of critical t-values. ..... (a) What does it mean for this study to be cross-sectional? A. The data were obtained over the course of time and the study was an observational study. B. The data were obtained at a specific point in time and the study was an observational study. OC. data were obtained over the course time and the study was an experiment. D. The data were obtained at a specific point in time and the study was an experiment. (b) What is the variable of interest in this study? Is it qualitative or quantitative? Explain. Identify the variable of interest. Choose the correct answer below. A. Whether a person has gum disease or not. B. Whether a person with sleep apnea has gum disease or not. C. The proportion of gum disease present in those with sleep apnea. D. Whether a person has sleep apnea or not. Determine whether the variable in question is qualitative or quantitative. Choose the correct answer below. A. Quantitative-the variable classifies the individuals in the study. B. Qualitative-the variable can be numerically measured. C. Quantitative-the variable can be numerically measured. D. Qualitative-the variable classifies the individuals in the study. (c) Estimate the proportion of individuals who suffer from sleep apnea who have gum disease with 99% confidence. Interpret your result. Select the correct choice below and fill in the answer boxes to complete your choice. (Use ascending order. Round to three decimal places as needed.) A. There is 99% confidence that the population proportion of individuals who suffer from sleep apnea who have gum disease is between and B. 99% of the population lies in the interval between and O C. There is a 99% chance that the true population proportion of individuals who suffer from sleep apnea who have gum disease is between and
Transcribed Image Text:Sleep apnea is a disorder in which you have one or more pauses in breathing or shallow breaths while you sleep. In a cross-sectional study of 430 adults who suffer from sleep apnea, it was found that 215 had gum disease. Note: In the general population, about 17.5% of individuals have gum disease. Complete parts (a) through (c) below. Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). Click here to view the table of critical t-values. ..... (a) What does it mean for this study to be cross-sectional? A. The data were obtained over the course of time and the study was an observational study. B. The data were obtained at a specific point in time and the study was an observational study. OC. data were obtained over the course time and the study was an experiment. D. The data were obtained at a specific point in time and the study was an experiment. (b) What is the variable of interest in this study? Is it qualitative or quantitative? Explain. Identify the variable of interest. Choose the correct answer below. A. Whether a person has gum disease or not. B. Whether a person with sleep apnea has gum disease or not. C. The proportion of gum disease present in those with sleep apnea. D. Whether a person has sleep apnea or not. Determine whether the variable in question is qualitative or quantitative. Choose the correct answer below. A. Quantitative-the variable classifies the individuals in the study. B. Qualitative-the variable can be numerically measured. C. Quantitative-the variable can be numerically measured. D. Qualitative-the variable classifies the individuals in the study. (c) Estimate the proportion of individuals who suffer from sleep apnea who have gum disease with 99% confidence. Interpret your result. Select the correct choice below and fill in the answer boxes to complete your choice. (Use ascending order. Round to three decimal places as needed.) A. There is 99% confidence that the population proportion of individuals who suffer from sleep apnea who have gum disease is between and B. 99% of the population lies in the interval between and O C. There is a 99% chance that the true population proportion of individuals who suffer from sleep apnea who have gum disease is between and
JU) naiei yi Standard normal distribution tablstandard normal distribution table (page 2) Standard normal distribution table (page 1) Standard Nomal Distribution 0,00 0,01 0.02 0.03 0,04 0.05 0.06 0.07 0.08 0.09 0.0 0.1 0.2 0.3 0.4 0.5000 0.5398 0.5793 0.5040 0.5438 0.5832 0.6217 0.6591 0.5080 0.5478 0.5871 0.6255 0.6628 0.5120 0.5517 0.5910 0.6293 0.6664 0.5160 0.5557 0.5948 0.5199 0.5596 0.5987 0.6368 0.6736 0.5239 0.5636 0.6026 0.6406 0.6772 0.5279 0.5675 0.6064 0.6443 0.6808 0.5319 0.5714 0.6103 0.5359 0.5753 0.6141 0.6517 0.6879 Standard Normal Distribution 0.6179 0.6554 0.6480 0.6844 0,00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0,08 0,09 0.6331 0.6700 -3.4 -3.3 -3.2 0.0003 0.0005 0.0007 0.0010 0.0013 0.0003 0.0005 0.0007 0.0009 0.0013 0.0003 0,0005 0.0006 0.0003 0.0004 0.0006 0.0008 0.0011 0.0003 0.0004 0.0005 0.0008 0.0011 0.0003 0.0004 0.0005 0.0003 0.0003 0.0003 0.0004 0.0006 0,0002 0,0003 0.0005 0.5 0.6 0.7 0.8 0.9 0,6915 0.7257 0.7580 0,6950 0.7291 0.7611 0.7910 08186 0.6985 0.7324 0.7642 0.7939 0.8212 0.7019 0.7357 0.7673 0.7054 0.7389 0.7704 0.7088 0.7422 0.7734 0.8023 0,8289 0.7123 0.7454 0.7764 0,8051 0.8315 0,8554 0.7157 0.7486 0.7794 0.7190 0.7517 0.7823 0.8106 0.8365 0.7224 0.7549 0,7852 0.0004 0.0006 0.0004 0.0006 0.0009 0.0012 -3.1 -3.0 0.0009 0.0013 0.0008 0.0012 0.0008 0.0011 0.0007 0.0010 0.7881 0,8159 0.7967 0.8238 0.7995 0.8264 0.8078 0.8340 0.8133 0.8389 0.0007 0.0010 -29 -28 -2.7 -2.6 -2.5 0.0015 0.0021 0.0029 0.0039 0.0052 1.0 1.1 1.2 0.8413 0.8643 0,8849 0.9032 0.9192 0.8438 0.8665 0 8869 0.8461 0.8686 0.8888 0.8485 0.8708 0.8907 0.9082 0.9236 0.8508 0.8729 0,8925 0.9099 0.9251 0.8531 0.8749 0,8944 0.8577 0.8790 0.8980 0,8599 0.8810 0.8997 0.8621 0.8830 0.9015 0.9177 0.9319 0.0019 0.0026 0.0018 0.0025 0.0034 0.0045 0.0060 0.0018 0.0024 0.0033 0.0016 0.0022 0,0030 0.0015 0.0021 0.0028 0.0038 0.0014 0.0019 0.0026 0.0036 0.0048 0.0017 0.0016 0.0023 0.0032 0.0023 0.0031 0.0014 0.0020 0.0027 0.8770 0.8962 0.0035 0.0047 0.0062 0.9115 0.9265 0.9131 0.9279 0.9147 0.9292 0.9162 0.9306 1.3 0.9049 0.9066 0.0044 0.0043 0.0057 0.0041 0.0055 0.0040 0.0037 0.0049 1.4 0.9207 0.9222 0.0059 0.0054 0.0051 0.9345 0.9463 0.9564 0.9382 0.9495 0.9591 0.9671 0.9738 0.9394 0.9505 0.9599 0,9678 0.9744 0.9406 0.9515 0.9608 0.9686 0.9750 0.9429 0.9535 0.9625 0.9699 0.9761 0.9370 0.0082 0.0107 0.0139 0.0179 0.0228 0.0080 0.0104 0.0136 0.0075 0.0099 0.0129 0,0069 0.0091 0.0119 0.0154 0.0197 0.0066 0.0087 0.0113 0.0146 0.0188 1.5 1.6 1.7 1.8 1.9 0.9332 0.9452 0.9554 0.9357 0.9474 0.9573 0.9656 0.9726 0.9418 0.9525 0.9616 0.9441 0.9545 0.9633 0.9706 0.9767 -2.4 -2.3 -2.2 0.0078 0.0102 0.0132 0.0170 0.0217 0.0073 0.0096 0.0125 0.0162 0.0207 0.0071 0.0094 0.0122 0.0158 0.0202 0.0068 0.0089 0.0116 0.0064 0.0084 0.0110 0.0143 0.0183 0.9484 0.9582 0.9664 0.9732 0,9641 0.9649 0.9693 0.9756 0.0174 0.0222 0.9713 0.9719 -2.1 -2.0 0.0150 0.0192 0.0166 0.0212 0.0250 0.0314 0.0392 0.0485 0.0594 2.0 2.1 2.2 0.9772 0.9821 0.9778 0.9826 0.9864 0,9896 0.9920 0.9783 0,9830 0.9868 0.9898 0.9922 0.9788 0.9834 0.9871 0.9901 0.9925 0.9793 0.9838 0.9875 0.9904 0.9927 0.9798 0,9842 0.9878 0.9803 0,9846 0.9881 0.9909 0.9931 0.9808 0.9850 9884 0.9812 0 9854 0,9887 0.9913 0.9934 0.9817 0.9857 -1.9 -1.8 0.0287 0.0359 0.0446 0.0548 0.0668 0.0281 0.0351 0.0436 0.0537 0.0655 0.0274 0.0344 0.0427 0.0526 0.0643 0.0268 0.0336 0.0418 0.0516 0.0630 0.0262 0.0329 0.0409 0.0256 0.0322 0.0401 0.0495 0.0606 0.0244 0.0307 0.0384 0.0475 0.0582 0.0239 0.0301 0.0375 0.0465 0.0571 0.0233 0.0294 0.0367 0.9861 0.9893 0.9918 0.9 0.9911 0.9932 0.9890 0.9916 0.9936 0.9906 0.9929 2.3 -1.7 2.4 -1.6 -1.5 0.0505 0.0618 0.0455 0,0559 0.0778 0.0934 0.1112 0.1314 0.1539 2.5 2.6 2.7 0.9938 0.9953 0,9965 0.9974 0.9981 0.9940 0.9955 0.9966 0.9975 0.9982 0.9941 0.9956 0.9967 0.9976 0.9982 0.9943 0.9957 0.9968 0.9977 0.9083 0.9945 0.9959 0.9969 0,9946 0.9960 0.9970 0.9978 0,9984 0.9948 0.9961 0.9971 0.9979 0.9985 0.9949 0.9962 0.9972 0.9979 0.9985 0,9951 0.9963 0.9973 0.9952 0.9964 0.9974 0.0793 0.0951 0.1131 0.0764 0.0918 0.1093 0.1292 0.1515 0.0749 0.0901 0.1075 0.0721 0.0869 0.1038 0.0708 0.0853 0.1020 0.0694 0.0838 0.1003 0.0681 0.0823 0,0985 -14 0.0808 0.0968 0.1151 0.0735 0.0885 0.1056 0.1251 0.1469 -13 0.9980 0.9986 2.8 0.9977 0.9981 0,9986 -1.2 -1.1 2.9 0.9984 0.1335 0.1562 0.1170 0.1379 0.1230 0.1357 0.1587 0.1271 0.1492 0.1210 0.1190 0.1401 3.0 3.1 3.2 0.9987 0.9990 0.9993 0,9995 0.9997 0.9987 0.9991 0.9993 0.9987 0.9991 0.9994 0.9995 0.9997 0.9988 0.9991 0.9994 0.9996 0.9997 0.9988 0.9992 0.9994 0.9996 0.9997 0.9989 0.9992 0.9994 0,9996 0.9997 0.9989 0.9992 0.9994 0.9989 0.9992 0.9995 0.9990 0.9993 0.9995 0.9990 0.9993 0,9995 0,9997 0.9998 -1.0 0.1446 0.1423 -0.9 -08 -0.7 0.1841 0.2119 0.2420 0.2743 0.3085 0.1814 0.2090 0.2389 0.2709 0.3050 0.1788 0.2061 0.2358 0.2676 0.3015 0.1762 0.2033 0.2327 0,2643 0.2981 0.1736 0.2005 0.2296 0.1711 0.1977 0.2266 0,2578 0.2912 0.1685 0.1949 0.2236 0.2546 0.2877 0.1660 0.1922 0.2206 0.2514 0.2843 0.1635 0.1894 0.2177 0.2483 0.2810 0.1611 0.1867 0.2148 0.2451 0.2776 0.9996 0.9997 33 0.9995 0,9997 0,9996 0.9997 0,9996 0.9997 3.4 -0,6 -0.5 0.2611 0.2946 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0,07 0.08 0.09 0.3446 0,3821 0.4207 0.4602 0.5000 -04 -0,3 -0.2 0,3400 0,3783 0.4168 0.4562 0.4960 0.3372 0.3745 0.4129 0.3336 0.3707 0.3300 0.3669 0.4052 0.3264 0.3632 0.4013 0.4404 0.4801 0.3228 0.3594 0.3974 0.4364 0.4761 0,3192 0.3557 0.3936 0.3156 0.3520 0.3897 0.4286 0.4681 0,3121 0.3483 0.3859 0.4247 0.4641 0.4090 0.4522 0.4920 0.4443 0.4840 0.4325 0.4721 -0.1 0.4483 -00 0.4880 Print Done 0,00 0.01 0.02 0.03 0.04 0.05 0.06 0,07 0.08 0,09 Tin I-distribution critical values table ou ha of ind al dis al dis t-valu d that 215 h Degrees of Freedom 0.25 0.20 0.15 0.10 (0.05 0.025 0.02 0.01 0.005 0.0025 0.001 0.0005 1.000 0.816 0.765 0.741 0.727 1.376 1.061 0.978 1.963 1.386 1.250 1.190 1.156 12.706 4.303 3.182 2.776 2.571 15.894 4.849 3.482 2.999 2.757 127.32 1 3.078 1.886 1.638 1.533 1.476 6.314 2.920 2.353 2.132 2.015 31.821 6.965 4.541 3.747 3.365 63.657 9.925 5.841 4.604 4.032 318.309 636.619 22.327 10.215 7173 5.893 1 2 3. 14.089 7.453 5.598 4.773 31.599 12.924 8.610 6.869 0.941 0.920 0.718 0.711 0.706 0.703 0.700 0.906 0.896 0.889 0.883 0.879 1.134 1.119 1.108 1.100 1.093 1.440 1.415 1.397 1.383 1.372 1.943 1.895 1.860 1.833 1.812 2.447 2.365 2.306 2.262 2.228 2.612 2.517 2.449 2.398 2.359 3.143 2.998 2.896 2.821 2.764 3.707 3.499 3.355 3.250 3.169 4.317 4.029 3.833 3.690 3.581 5.208 4.785 4.501 4.297 4.144 5.959 5.408 5.041 4.781 4.587 o be 8 10 3.106 3.055 3.012 2.977 2.947 the c 0.876 0.873 0.870 0.868 0,866 1.088 1.083 1.079 1.076 1.074 3.497 3.428 3.372 3.326 3.286 4.025 3.930 3.852 3.787 3.733 4.437 4.318 4.221 4.140 4.073 0.697 0.695 11 12 13 14 15 1.363 1.356 1.350 1.345 1.341 1.796 1.782 1.771 1.761 1.753 2.201 2.179 2.160 2.145 2.131 2.328 2.303 2.282 2.264 2.249 2.718 2.681 2.650 2.624 2.602 0.694 speci 0.692 the c 0.691 0.690 0.689 0.688 0.688 0.687 0.865 0.863 0.862 0.861 1.071 1.069 1.067 1.066 1.064 1.337 1.333 1.330 1.328 1.325 1.746 1.740 1.734 1.729 1.725 2.120 2.110 2.101 2.093 2.086 2.235 2.224 2.214 2.205 2.197 2.583 2.567 2.552 2.539 2.528 2.921 2.898 2.878 2.861 2.845 3.252 3.222 3.197 3.174 3.153 3.686 3.646 3.610 3.579 3.552 4.015 3.965 3.922 3.883 3.850 16 speci 17 18 19 20 this s 0.860 21 22 23 0.686 0.686 0.685 0.685 0.684 0.859 0.858 0.858 0.857 0.856 1.063 1.061 1.060 1.059 1.058 1.323 1.321 1.319 1.318 1.316 1.721 1.717 1.714 1.711 1.708 2.080 2.074 2.069 2.064 2.060 2.189 2.183 2.177 2.172 2.167 2.518 2.508 2.500 2.492 2.485 2.831 2.819 2.807 2.797 2.787 3.135 3.119 3.104 3.091 3.078 3.527 3.505 3.485 3.467 3.450 3.819 3.792 3.768 3.745 3.725 iseas apne 25 0.856 0.855 0.855 0.854 0.854 1.058 1.057 1.056 1.055 1.055 3.707 3.690 3.674 3.659 3.646 26 27 0.684 0.684 0.683 0.683 0.683 1.315 1.314 1.313 1.311 1.310 1.706 1.703 1.701 1.699 1.697 2.056 2.052 2.048 2.045 2.042 2.162 2.158 2.154 2.150 2.147 2.479 2.473 2.467 2.462 2.457 2.779 2.771 2.763 2.756 2.750 3.067 3.057 3.047 3.038 3.030 3.435 3.421 3.408 3.396 3.385 ie pre 28 apne 29 30 lestiol 31 0.682 0.853 1.054 1.309 1.696 2.040 2.144 2.453 2.744 3.022 3.375 3.633
Transcribed Image Text:JU) naiei yi Standard normal distribution tablstandard normal distribution table (page 2) Standard normal distribution table (page 1) Standard Nomal Distribution 0,00 0,01 0.02 0.03 0,04 0.05 0.06 0.07 0.08 0.09 0.0 0.1 0.2 0.3 0.4 0.5000 0.5398 0.5793 0.5040 0.5438 0.5832 0.6217 0.6591 0.5080 0.5478 0.5871 0.6255 0.6628 0.5120 0.5517 0.5910 0.6293 0.6664 0.5160 0.5557 0.5948 0.5199 0.5596 0.5987 0.6368 0.6736 0.5239 0.5636 0.6026 0.6406 0.6772 0.5279 0.5675 0.6064 0.6443 0.6808 0.5319 0.5714 0.6103 0.5359 0.5753 0.6141 0.6517 0.6879 Standard Normal Distribution 0.6179 0.6554 0.6480 0.6844 0,00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0,08 0,09 0.6331 0.6700 -3.4 -3.3 -3.2 0.0003 0.0005 0.0007 0.0010 0.0013 0.0003 0.0005 0.0007 0.0009 0.0013 0.0003 0,0005 0.0006 0.0003 0.0004 0.0006 0.0008 0.0011 0.0003 0.0004 0.0005 0.0008 0.0011 0.0003 0.0004 0.0005 0.0003 0.0003 0.0003 0.0004 0.0006 0,0002 0,0003 0.0005 0.5 0.6 0.7 0.8 0.9 0,6915 0.7257 0.7580 0,6950 0.7291 0.7611 0.7910 08186 0.6985 0.7324 0.7642 0.7939 0.8212 0.7019 0.7357 0.7673 0.7054 0.7389 0.7704 0.7088 0.7422 0.7734 0.8023 0,8289 0.7123 0.7454 0.7764 0,8051 0.8315 0,8554 0.7157 0.7486 0.7794 0.7190 0.7517 0.7823 0.8106 0.8365 0.7224 0.7549 0,7852 0.0004 0.0006 0.0004 0.0006 0.0009 0.0012 -3.1 -3.0 0.0009 0.0013 0.0008 0.0012 0.0008 0.0011 0.0007 0.0010 0.7881 0,8159 0.7967 0.8238 0.7995 0.8264 0.8078 0.8340 0.8133 0.8389 0.0007 0.0010 -29 -28 -2.7 -2.6 -2.5 0.0015 0.0021 0.0029 0.0039 0.0052 1.0 1.1 1.2 0.8413 0.8643 0,8849 0.9032 0.9192 0.8438 0.8665 0 8869 0.8461 0.8686 0.8888 0.8485 0.8708 0.8907 0.9082 0.9236 0.8508 0.8729 0,8925 0.9099 0.9251 0.8531 0.8749 0,8944 0.8577 0.8790 0.8980 0,8599 0.8810 0.8997 0.8621 0.8830 0.9015 0.9177 0.9319 0.0019 0.0026 0.0018 0.0025 0.0034 0.0045 0.0060 0.0018 0.0024 0.0033 0.0016 0.0022 0,0030 0.0015 0.0021 0.0028 0.0038 0.0014 0.0019 0.0026 0.0036 0.0048 0.0017 0.0016 0.0023 0.0032 0.0023 0.0031 0.0014 0.0020 0.0027 0.8770 0.8962 0.0035 0.0047 0.0062 0.9115 0.9265 0.9131 0.9279 0.9147 0.9292 0.9162 0.9306 1.3 0.9049 0.9066 0.0044 0.0043 0.0057 0.0041 0.0055 0.0040 0.0037 0.0049 1.4 0.9207 0.9222 0.0059 0.0054 0.0051 0.9345 0.9463 0.9564 0.9382 0.9495 0.9591 0.9671 0.9738 0.9394 0.9505 0.9599 0,9678 0.9744 0.9406 0.9515 0.9608 0.9686 0.9750 0.9429 0.9535 0.9625 0.9699 0.9761 0.9370 0.0082 0.0107 0.0139 0.0179 0.0228 0.0080 0.0104 0.0136 0.0075 0.0099 0.0129 0,0069 0.0091 0.0119 0.0154 0.0197 0.0066 0.0087 0.0113 0.0146 0.0188 1.5 1.6 1.7 1.8 1.9 0.9332 0.9452 0.9554 0.9357 0.9474 0.9573 0.9656 0.9726 0.9418 0.9525 0.9616 0.9441 0.9545 0.9633 0.9706 0.9767 -2.4 -2.3 -2.2 0.0078 0.0102 0.0132 0.0170 0.0217 0.0073 0.0096 0.0125 0.0162 0.0207 0.0071 0.0094 0.0122 0.0158 0.0202 0.0068 0.0089 0.0116 0.0064 0.0084 0.0110 0.0143 0.0183 0.9484 0.9582 0.9664 0.9732 0,9641 0.9649 0.9693 0.9756 0.0174 0.0222 0.9713 0.9719 -2.1 -2.0 0.0150 0.0192 0.0166 0.0212 0.0250 0.0314 0.0392 0.0485 0.0594 2.0 2.1 2.2 0.9772 0.9821 0.9778 0.9826 0.9864 0,9896 0.9920 0.9783 0,9830 0.9868 0.9898 0.9922 0.9788 0.9834 0.9871 0.9901 0.9925 0.9793 0.9838 0.9875 0.9904 0.9927 0.9798 0,9842 0.9878 0.9803 0,9846 0.9881 0.9909 0.9931 0.9808 0.9850 9884 0.9812 0 9854 0,9887 0.9913 0.9934 0.9817 0.9857 -1.9 -1.8 0.0287 0.0359 0.0446 0.0548 0.0668 0.0281 0.0351 0.0436 0.0537 0.0655 0.0274 0.0344 0.0427 0.0526 0.0643 0.0268 0.0336 0.0418 0.0516 0.0630 0.0262 0.0329 0.0409 0.0256 0.0322 0.0401 0.0495 0.0606 0.0244 0.0307 0.0384 0.0475 0.0582 0.0239 0.0301 0.0375 0.0465 0.0571 0.0233 0.0294 0.0367 0.9861 0.9893 0.9918 0.9 0.9911 0.9932 0.9890 0.9916 0.9936 0.9906 0.9929 2.3 -1.7 2.4 -1.6 -1.5 0.0505 0.0618 0.0455 0,0559 0.0778 0.0934 0.1112 0.1314 0.1539 2.5 2.6 2.7 0.9938 0.9953 0,9965 0.9974 0.9981 0.9940 0.9955 0.9966 0.9975 0.9982 0.9941 0.9956 0.9967 0.9976 0.9982 0.9943 0.9957 0.9968 0.9977 0.9083 0.9945 0.9959 0.9969 0,9946 0.9960 0.9970 0.9978 0,9984 0.9948 0.9961 0.9971 0.9979 0.9985 0.9949 0.9962 0.9972 0.9979 0.9985 0,9951 0.9963 0.9973 0.9952 0.9964 0.9974 0.0793 0.0951 0.1131 0.0764 0.0918 0.1093 0.1292 0.1515 0.0749 0.0901 0.1075 0.0721 0.0869 0.1038 0.0708 0.0853 0.1020 0.0694 0.0838 0.1003 0.0681 0.0823 0,0985 -14 0.0808 0.0968 0.1151 0.0735 0.0885 0.1056 0.1251 0.1469 -13 0.9980 0.9986 2.8 0.9977 0.9981 0,9986 -1.2 -1.1 2.9 0.9984 0.1335 0.1562 0.1170 0.1379 0.1230 0.1357 0.1587 0.1271 0.1492 0.1210 0.1190 0.1401 3.0 3.1 3.2 0.9987 0.9990 0.9993 0,9995 0.9997 0.9987 0.9991 0.9993 0.9987 0.9991 0.9994 0.9995 0.9997 0.9988 0.9991 0.9994 0.9996 0.9997 0.9988 0.9992 0.9994 0.9996 0.9997 0.9989 0.9992 0.9994 0,9996 0.9997 0.9989 0.9992 0.9994 0.9989 0.9992 0.9995 0.9990 0.9993 0.9995 0.9990 0.9993 0,9995 0,9997 0.9998 -1.0 0.1446 0.1423 -0.9 -08 -0.7 0.1841 0.2119 0.2420 0.2743 0.3085 0.1814 0.2090 0.2389 0.2709 0.3050 0.1788 0.2061 0.2358 0.2676 0.3015 0.1762 0.2033 0.2327 0,2643 0.2981 0.1736 0.2005 0.2296 0.1711 0.1977 0.2266 0,2578 0.2912 0.1685 0.1949 0.2236 0.2546 0.2877 0.1660 0.1922 0.2206 0.2514 0.2843 0.1635 0.1894 0.2177 0.2483 0.2810 0.1611 0.1867 0.2148 0.2451 0.2776 0.9996 0.9997 33 0.9995 0,9997 0,9996 0.9997 0,9996 0.9997 3.4 -0,6 -0.5 0.2611 0.2946 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0,07 0.08 0.09 0.3446 0,3821 0.4207 0.4602 0.5000 -04 -0,3 -0.2 0,3400 0,3783 0.4168 0.4562 0.4960 0.3372 0.3745 0.4129 0.3336 0.3707 0.3300 0.3669 0.4052 0.3264 0.3632 0.4013 0.4404 0.4801 0.3228 0.3594 0.3974 0.4364 0.4761 0,3192 0.3557 0.3936 0.3156 0.3520 0.3897 0.4286 0.4681 0,3121 0.3483 0.3859 0.4247 0.4641 0.4090 0.4522 0.4920 0.4443 0.4840 0.4325 0.4721 -0.1 0.4483 -00 0.4880 Print Done 0,00 0.01 0.02 0.03 0.04 0.05 0.06 0,07 0.08 0,09 Tin I-distribution critical values table ou ha of ind al dis al dis t-valu d that 215 h Degrees of Freedom 0.25 0.20 0.15 0.10 (0.05 0.025 0.02 0.01 0.005 0.0025 0.001 0.0005 1.000 0.816 0.765 0.741 0.727 1.376 1.061 0.978 1.963 1.386 1.250 1.190 1.156 12.706 4.303 3.182 2.776 2.571 15.894 4.849 3.482 2.999 2.757 127.32 1 3.078 1.886 1.638 1.533 1.476 6.314 2.920 2.353 2.132 2.015 31.821 6.965 4.541 3.747 3.365 63.657 9.925 5.841 4.604 4.032 318.309 636.619 22.327 10.215 7173 5.893 1 2 3. 14.089 7.453 5.598 4.773 31.599 12.924 8.610 6.869 0.941 0.920 0.718 0.711 0.706 0.703 0.700 0.906 0.896 0.889 0.883 0.879 1.134 1.119 1.108 1.100 1.093 1.440 1.415 1.397 1.383 1.372 1.943 1.895 1.860 1.833 1.812 2.447 2.365 2.306 2.262 2.228 2.612 2.517 2.449 2.398 2.359 3.143 2.998 2.896 2.821 2.764 3.707 3.499 3.355 3.250 3.169 4.317 4.029 3.833 3.690 3.581 5.208 4.785 4.501 4.297 4.144 5.959 5.408 5.041 4.781 4.587 o be 8 10 3.106 3.055 3.012 2.977 2.947 the c 0.876 0.873 0.870 0.868 0,866 1.088 1.083 1.079 1.076 1.074 3.497 3.428 3.372 3.326 3.286 4.025 3.930 3.852 3.787 3.733 4.437 4.318 4.221 4.140 4.073 0.697 0.695 11 12 13 14 15 1.363 1.356 1.350 1.345 1.341 1.796 1.782 1.771 1.761 1.753 2.201 2.179 2.160 2.145 2.131 2.328 2.303 2.282 2.264 2.249 2.718 2.681 2.650 2.624 2.602 0.694 speci 0.692 the c 0.691 0.690 0.689 0.688 0.688 0.687 0.865 0.863 0.862 0.861 1.071 1.069 1.067 1.066 1.064 1.337 1.333 1.330 1.328 1.325 1.746 1.740 1.734 1.729 1.725 2.120 2.110 2.101 2.093 2.086 2.235 2.224 2.214 2.205 2.197 2.583 2.567 2.552 2.539 2.528 2.921 2.898 2.878 2.861 2.845 3.252 3.222 3.197 3.174 3.153 3.686 3.646 3.610 3.579 3.552 4.015 3.965 3.922 3.883 3.850 16 speci 17 18 19 20 this s 0.860 21 22 23 0.686 0.686 0.685 0.685 0.684 0.859 0.858 0.858 0.857 0.856 1.063 1.061 1.060 1.059 1.058 1.323 1.321 1.319 1.318 1.316 1.721 1.717 1.714 1.711 1.708 2.080 2.074 2.069 2.064 2.060 2.189 2.183 2.177 2.172 2.167 2.518 2.508 2.500 2.492 2.485 2.831 2.819 2.807 2.797 2.787 3.135 3.119 3.104 3.091 3.078 3.527 3.505 3.485 3.467 3.450 3.819 3.792 3.768 3.745 3.725 iseas apne 25 0.856 0.855 0.855 0.854 0.854 1.058 1.057 1.056 1.055 1.055 3.707 3.690 3.674 3.659 3.646 26 27 0.684 0.684 0.683 0.683 0.683 1.315 1.314 1.313 1.311 1.310 1.706 1.703 1.701 1.699 1.697 2.056 2.052 2.048 2.045 2.042 2.162 2.158 2.154 2.150 2.147 2.479 2.473 2.467 2.462 2.457 2.779 2.771 2.763 2.756 2.750 3.067 3.057 3.047 3.038 3.030 3.435 3.421 3.408 3.396 3.385 ie pre 28 apne 29 30 lestiol 31 0.682 0.853 1.054 1.309 1.696 2.040 2.144 2.453 2.744 3.022 3.375 3.633
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