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To test Ho: µ = 103 versus H,: µ# 103 a simple random sample of size n= 35 is obtained. Complete parts a through e below. E Click here to view the t-Distribution Area in Right Tail. (a) Does the population have to be normally distributed to test this hypothesis? Why? O A. Yes, because the sample is random. B. No, because n2 30. C. Yes, because n2 30. D. No, because the test is two-tailed.

To test Ho: µ = 103 versus H,: µ# 103 a simple random sample of size n= 35 is obtained. Complete parts a through e below. E Click here to view the t-Distribution Area in Right Tail. (a) Does the population have to be normally distributed to test this hypothesis? Why? O A. Yes, because the sample is random. B. No, because n2 30. C. Yes, because n2 30. D. No, because the test is two-tailed.

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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To test Ho: µ= 103 versus H,:µ ± 103 a simple random sample of size n= 35 is obtained. Complete parts a through e below. Click here to view the t-Distribution Area in Right Tail. (a) Does the population have to be normally distributed to test this hypothesis? Why? A. Yes, because the sample is random. B. No, because n2 30. O C. Yes, because n2 30. O D. No, because the test is two-tailed.
Transcribed Image Text:To test Ho: µ= 103 versus H,:µ ± 103 a simple random sample of size n= 35 is obtained. Complete parts a through e below. Click here to view the t-Distribution Area in Right Tail. (a) Does the population have to be normally distributed to test this hypothesis? Why? A. Yes, because the sample is random. B. No, because n2 30. O C. Yes, because n2 30. O D. No, because the test is two-tailed.
t-Distribution Arca in Right Tail df 0.25 0.20 0.15 0.10 (0,05 0.025 0,02 0.01 0.005 0.0025 0.001 0.0005 df 1.963 1.386 1.250 1.190 1.156 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 1.000 3.078 1.886 1.638 1.533 1.476 12.706 4.303 3.182 2.776 15.894 4.849 3.482 2.999 2.757 127.321 14.089 7.453 5.598 4.773 318.309 22.327 10.215 7.173 5.893 1 1.376 636.619 1 0.816 0.765 0.741 0.727 1.061 31.599 12.924 8,610 6.869 0.978 0.941 3 4 5 0.920 2571 0.718 0.711 0.706 0.703 0,700 1.134 1.119 1.108 1.100 1.093 1.440 1.415 1.397 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 3.707 3.499 3.355 3.250 3.169 4.317 4.029 3.833 3.690 3.581 0.906 3.143 2.998 2,896 2,821 2.764 5.208 4.785 4.501 4.297 5.959 5.408 5.041 4.781 4.587 0.896 0.889 7 8 1.383 1.372 9 0,883 0,879 10 4.144 10 2.201 2.179 2.160 2.145 2.131 3.497 3.428 3.372 3.326 3.286 11 0.697 0.876 1.088 1.363 1.356 1.350 1.345 1.796 2.328 2.303 2.282 2.264 2.249 2.718 3.106 4.025 4.437 11 0.695 0.694 0.692 0.691 0.873 0.870 0.868 1.083 1.079 1.076 1.074 2.681 2.650 2.624 2.602 3.930 3.852 3.787 3.733 12 1.782 1.771 1.761 1.753 3.055 3.012 2.977 4.318 4.221 4.140 12 13 13 14 14 15 0.866 1.341 2.947 4.073 15 1.337 1.333 1.330 1.328 1.325 2.235 2.224 2.214 2.205 2.197 3.686 3.646 1.071 1.069 1.067 1.066 1.064 4.015 3.965 3.922 3.883 3.850 16 17 0.690 0.689 0.865 0.863 0.862 0.861 0.860 1.746 1.740 2.120 2.110 2.101 2.093 2.086 2.583 2.567 2.552 2.539 2.528 2.921 2.898 3.252 3.222 3.197 3.174 3.153 16 17 0.688 0.688 0.687 18 1.734 2.878 3.610 3.579 3.552 18 1.729 1.725 2.861 2.845 19 19 20 20 0,859 0.858 0.858 0.57 0.856 1.323 1.321 1.319 1.318 1.316 2.080 2.074 2.069 2.064 2.060 2.189 2.183 2.177 2.172 2.167 3.135 3.119 3.104 3.091 3.078 21 22 0.686 0.686 0.685 0.685 0.684 1.063 1.061 1.060 1.059 1.058 1.721 1.717 2518 2.831 2.819 2.807 2.797 2.787 3.527 3.505 3.485 3.467 3.450 3.819 3.792 3.768 3.745 3.725 21 22 2.508 2.500 2.492 2.485 23 1.714 1.711 1.708 23 24 24 25 25 0,684 0.684 1.058 1.057 1.056 1.055 1.055 1.315 1.314 1.706 1.703 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 3.707 3.690 3.674 3.659 3.646 0.856 2.162 2.158 3.435 3.421 3.408 3.396 3.385 26 2.056 2.052 2.048 26 27 27 0,855 0.55 0.854 0.854 1.701 1.699 1.697 2.154 2.150 2.147 28 0.683 1.313 28 29 30 0.683 0.683 1.311 1.310 2.045 29 30 2.042 1.054 1.054 1.053 1.052 1.052 1.696 1.694 1.692 1.691 1.690 2.144 2.141 2.138 2.136 2.133 0.682 0.682 0.853 1.309 1.309 1.308 1.307 1.306 2.040 2.037 2.035 2.032 2.030 2.453 2.744 2.738 2.733 2.728 2.724 3.022 3.015 3.008 3.002 2.996 31 3.375 3.633 31 0.853 0.853 0.852 0.852 32 2.449 3.365 3.622 32 2.445 2.441 2.438 3.356 3.348 3.340 33 0.682 0.682 0.682 3.611 3.601 3.591 33 34 35 34 35 1.052 1.051 1.051 1.050 1.050 1.306 1.305 1.304 1.304 1.303 2.028 2.026 2.024 2.023 2.021 2.131 2.129 2.127 2.125 2.123 3.333 3.326 3.319 3.313 3.307 36 0.681 0.681 0.681 0.681 0.681 0.852 0.851 0.851 0.851 0,851 1.688 1.687 1.686 1.685 1.684 2.434 2.431 2.429 2.426 2.423 2.719 2.715 2.712 2.708 2.704 2.990 2.985 2.980 2.976 2.971 3.582 3.574 3.566 3.558 3.551 36 37 37 38 39 38 39 40 40 0.849 0,848 0.847 0,846 0.846 1.047 1.045 1.044 1.043 1.042 2.109 2.099 2.093 2.088 2.084 2.937 2.915 2.899 2.887 2.878 50 0.679 0.679 0.678 0.678 1.299 1.296 1.294 1.292 1.291 1.676 1.671 1.667 1.664 2.009 2.000 1.994 2.403 2.390 2.381 2.374 2.368 2.678 2.660 2.648 2.639 2.632 3.261 3.232 3.211 3.195 3.183 3.496 3.460 3.435 3.416 3.402 50 60 60 70 70 80 1.990 80 90 0,677 1.662 1.987 90 1.042 1.037 1.036 2.364 2.330 2.326 3.174 3.098 3.090 100 3.390 0.677 0.675 0.674 0.845 0.842 0,842 1.290 1.282 1.282 1.660 1.646 1.645 1.984 1.962 1.960 2.081 2.056 2.054 2.626 2.581 2,576 2.871 2.813 2.807 100 1000 3.300 1000 3.291 z df 0.25 0,20 0.15 0.10 0.05 0.025 0.02 0,01 0.005 0.0025 0.001 0.0005 df
Transcribed Image Text:t-Distribution Arca in Right Tail df 0.25 0.20 0.15 0.10 (0,05 0.025 0,02 0.01 0.005 0.0025 0.001 0.0005 df 1.963 1.386 1.250 1.190 1.156 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 1.000 3.078 1.886 1.638 1.533 1.476 12.706 4.303 3.182 2.776 15.894 4.849 3.482 2.999 2.757 127.321 14.089 7.453 5.598 4.773 318.309 22.327 10.215 7.173 5.893 1 1.376 636.619 1 0.816 0.765 0.741 0.727 1.061 31.599 12.924 8,610 6.869 0.978 0.941 3 4 5 0.920 2571 0.718 0.711 0.706 0.703 0,700 1.134 1.119 1.108 1.100 1.093 1.440 1.415 1.397 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 3.707 3.499 3.355 3.250 3.169 4.317 4.029 3.833 3.690 3.581 0.906 3.143 2.998 2,896 2,821 2.764 5.208 4.785 4.501 4.297 5.959 5.408 5.041 4.781 4.587 0.896 0.889 7 8 1.383 1.372 9 0,883 0,879 10 4.144 10 2.201 2.179 2.160 2.145 2.131 3.497 3.428 3.372 3.326 3.286 11 0.697 0.876 1.088 1.363 1.356 1.350 1.345 1.796 2.328 2.303 2.282 2.264 2.249 2.718 3.106 4.025 4.437 11 0.695 0.694 0.692 0.691 0.873 0.870 0.868 1.083 1.079 1.076 1.074 2.681 2.650 2.624 2.602 3.930 3.852 3.787 3.733 12 1.782 1.771 1.761 1.753 3.055 3.012 2.977 4.318 4.221 4.140 12 13 13 14 14 15 0.866 1.341 2.947 4.073 15 1.337 1.333 1.330 1.328 1.325 2.235 2.224 2.214 2.205 2.197 3.686 3.646 1.071 1.069 1.067 1.066 1.064 4.015 3.965 3.922 3.883 3.850 16 17 0.690 0.689 0.865 0.863 0.862 0.861 0.860 1.746 1.740 2.120 2.110 2.101 2.093 2.086 2.583 2.567 2.552 2.539 2.528 2.921 2.898 3.252 3.222 3.197 3.174 3.153 16 17 0.688 0.688 0.687 18 1.734 2.878 3.610 3.579 3.552 18 1.729 1.725 2.861 2.845 19 19 20 20 0,859 0.858 0.858 0.57 0.856 1.323 1.321 1.319 1.318 1.316 2.080 2.074 2.069 2.064 2.060 2.189 2.183 2.177 2.172 2.167 3.135 3.119 3.104 3.091 3.078 21 22 0.686 0.686 0.685 0.685 0.684 1.063 1.061 1.060 1.059 1.058 1.721 1.717 2518 2.831 2.819 2.807 2.797 2.787 3.527 3.505 3.485 3.467 3.450 3.819 3.792 3.768 3.745 3.725 21 22 2.508 2.500 2.492 2.485 23 1.714 1.711 1.708 23 24 24 25 25 0,684 0.684 1.058 1.057 1.056 1.055 1.055 1.315 1.314 1.706 1.703 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 3.707 3.690 3.674 3.659 3.646 0.856 2.162 2.158 3.435 3.421 3.408 3.396 3.385 26 2.056 2.052 2.048 26 27 27 0,855 0.55 0.854 0.854 1.701 1.699 1.697 2.154 2.150 2.147 28 0.683 1.313 28 29 30 0.683 0.683 1.311 1.310 2.045 29 30 2.042 1.054 1.054 1.053 1.052 1.052 1.696 1.694 1.692 1.691 1.690 2.144 2.141 2.138 2.136 2.133 0.682 0.682 0.853 1.309 1.309 1.308 1.307 1.306 2.040 2.037 2.035 2.032 2.030 2.453 2.744 2.738 2.733 2.728 2.724 3.022 3.015 3.008 3.002 2.996 31 3.375 3.633 31 0.853 0.853 0.852 0.852 32 2.449 3.365 3.622 32 2.445 2.441 2.438 3.356 3.348 3.340 33 0.682 0.682 0.682 3.611 3.601 3.591 33 34 35 34 35 1.052 1.051 1.051 1.050 1.050 1.306 1.305 1.304 1.304 1.303 2.028 2.026 2.024 2.023 2.021 2.131 2.129 2.127 2.125 2.123 3.333 3.326 3.319 3.313 3.307 36 0.681 0.681 0.681 0.681 0.681 0.852 0.851 0.851 0.851 0,851 1.688 1.687 1.686 1.685 1.684 2.434 2.431 2.429 2.426 2.423 2.719 2.715 2.712 2.708 2.704 2.990 2.985 2.980 2.976 2.971 3.582 3.574 3.566 3.558 3.551 36 37 37 38 39 38 39 40 40 0.849 0,848 0.847 0,846 0.846 1.047 1.045 1.044 1.043 1.042 2.109 2.099 2.093 2.088 2.084 2.937 2.915 2.899 2.887 2.878 50 0.679 0.679 0.678 0.678 1.299 1.296 1.294 1.292 1.291 1.676 1.671 1.667 1.664 2.009 2.000 1.994 2.403 2.390 2.381 2.374 2.368 2.678 2.660 2.648 2.639 2.632 3.261 3.232 3.211 3.195 3.183 3.496 3.460 3.435 3.416 3.402 50 60 60 70 70 80 1.990 80 90 0,677 1.662 1.987 90 1.042 1.037 1.036 2.364 2.330 2.326 3.174 3.098 3.090 100 3.390 0.677 0.675 0.674 0.845 0.842 0,842 1.290 1.282 1.282 1.660 1.646 1.645 1.984 1.962 1.960 2.081 2.056 2.054 2.626 2.581 2,576 2.871 2.813 2.807 100 1000 3.300 1000 3.291 z df 0.25 0,20 0.15 0.10 0.05 0.025 0.02 0,01 0.005 0.0025 0.001 0.0005 df
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