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Click the icon to view the Student t-distribution table. erform a hypothesis test. Determine the null and alternative hypotheses. - Ho: H1 = H2, H,:Hq> H2 . Ho:H1> H2, H:H1H2 . Ho: H1 = H2, H1 P1

Click the icon to view the Student t-distribution table. erform a hypothesis test. Determine the null and alternative hypotheses. - Ho: H1 = H2, H,:Hq> H2 . Ho:H1> H2, H:H1H2 . Ho: H1 = H2, H1 P1

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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Assume that both populations are normally distributed. a) Test whether u, > H2 at the a = 0.10 level of significance for the given sample data. Sample 1 Sample 2 24 19 b) Construct a 90% confidence interval about u1 - H2. 47.7 40.6 X S 5.8 11.9 Click the icon to view the Student t-distribution table. a) Perform a hypothesis test. Determine the null and alternative hypotheses. O A. Ho: H1 = H2, Hq:Hq> H2 O B. Ho: H1 > H2, HqH1<H2 OC. Ho: H1 <H2, Hq:Hq>H2 O D. Ho: H1 = #2, Hq:H1<H2 Determine the test statistic. t3= (Round to two decimal places as needed.) Determine the critical value(s). Select the correct choice below and fill in the answer box(es) within your choice. (Round to three decimal places as needed.) O A. The critical value is O B. The lower critical value is The upper critical value is Should the hypothesis be rejected? V the null hypothesis because the test statistic V the critical region. b) Construct a 90% confidence interval about u, - H2. The confidence interval is the range from to : (Round to two decimal places as needed. Use ascending order.)
Transcribed Image Text:Assume that both populations are normally distributed. a) Test whether u, > H2 at the a = 0.10 level of significance for the given sample data. Sample 1 Sample 2 24 19 b) Construct a 90% confidence interval about u1 - H2. 47.7 40.6 X S 5.8 11.9 Click the icon to view the Student t-distribution table. a) Perform a hypothesis test. Determine the null and alternative hypotheses. O A. Ho: H1 = H2, Hq:Hq> H2 O B. Ho: H1 > H2, HqH1<H2 OC. Ho: H1 <H2, Hq:Hq>H2 O D. Ho: H1 = #2, Hq:H1<H2 Determine the test statistic. t3= (Round to two decimal places as needed.) Determine the critical value(s). Select the correct choice below and fill in the answer box(es) within your choice. (Round to three decimal places as needed.) O A. The critical value is O B. The lower critical value is The upper critical value is Should the hypothesis be rejected? V the null hypothesis because the test statistic V the critical region. b) Construct a 90% confidence interval about u, - H2. The confidence interval is the range from to : (Round to two decimal places as needed. Use ascending order.)
Student t-Distribution Table -Area in right tail t-Distribution Area in Right Tail 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 6.314 2.920 2.353 2.132 2.015 12.706 4.303 3.182 2.776 2.571 15,894 4.849 3.482 2.999 2.757 1.376 1.963 1 2 3 4 5 1.000 0,816 0.765 0.741 0.727 1.386 0.978 1.250 0.941 3.078 1.886 1.638 1.533 31.821 63.657 127321 318.309 636.619 14.089 7453 5.598 4.773 6.965 4.541 3.747 3.365 22.327 10.215 7173 5.893 31.599 12.924 8.610 6.869 1.061 9.925 5,841 4.604 4.032 1.190 0.920 1.156 1.476 6 7 8 0.718 0.711 0.706 0.703 0.700 1.440 1.415 1.397 1.383 1.372 1.943 1.895 1.860 1.833 1.812 3.143 2.998 2.896 2.821 2.764 3.707 3.499 3.355 3.250 3.169 5.208 4.785 4.501 4.297 4.144 5.959 5.408 5.041 4.781 4.587 0.906 1.134 1.119 0.889 1.108 0.883 1.100 0.879 1.093 2.447 2.365 2.306 2.262 2.228 2.612 2.517 2.449 2.398 2.359 4.317 4.029 3.833 3.690 3.581 0.896 9 10 1.796 1.782 1.771 1.761 0.876 1.088 0.873 11 12 13 0.697 0.695 0.694 0.692 0.691 1.083 0.870 1.079 0.868 1.076 1.363 1.356 1.350 1.345 2.201 2.179 2.160 2.145 2.328 2.303 2.282 2.264 2.249 2.718 2,681 2.650 2.624 2.602 3.106 3.055 3.012 2.977 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 14 15 0.866 1.074 1.341 1.753 2.131 2.947 2.235 2.224 2.214 2.205 2.921 2.898 2.878 3.252 3.222 3.197 3.174 3.153 4.015 3.965 3.922 3.883 3.850 16 17 0.690 0.689 0.688 0.688 0.687 0.865 1.071 0,863 1.069 0.862 1.067 1.337 1.333 18 19 20 1.330 1.328 1.325 1.746 1.740 1.734 1.729 2.120 2.110 2.101 2.093 2.086 2,583 2.567 2.552 2.539 2.528 3,686 3.646 3.610 3.579 0.861 1.066 2.861 2845 0.860 1.064 1.725 2.197 3.552 3.135 3.119 3.104 3.527 3.505 3.485 3.467 3.450 21 22 23 24 25 0.686 0.686 0.685 0.685 0.684 0.859 1.063 0.858 1.061 0.858 1.060 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 2.518 2.508 2.500 2,831 2,819 2,807 3.819 3.792 3.768 3.745 3.725 0.857 1.059 2.172 2.492 2.797 3.091 0.856 1.058 2.167 2485 2.787 3.078 2.056 2.052 2.048 2.045 2.042 2.162 2.158 2.154 2.150 2.147 2.779 2.771 2.763 2.756 2.750 26 27 0.684 0.684 0.683 0.683 0.683 0.856 1.058 0.855 1.057 0.855 1.315 1.314 1.313 1.311 1.310 1.706 1.703 1.701 1.699 1.697 2.479 2.473 2.467 2.462 2.457 3.067 3.057 3.047 3.038 3.030 3.435 3.421 3.408 3.396 3.385 3.707 3.690 1.056 28 29 30 3.674 3.659 3.646 0.854 1.055 0.854 1.055 0.682 0.682 0.682 0.682 0.682 2.040 2.037 2.035 2.032 2.030 2.453 2.449 2.445 2.441 2.438 2.744 2.738 0.853 1.054 1.309 1.309 1.308 1.307 1.306 1.696 2.144 2.141 2.138 2.136 2.133 3.022 3.015 3.375 3.365 3.356 3.348 3.340 3.633 3.622 31 32 33 34 35 0853 1.054 1.694 1.692 1.691 1.600 0.853 1.053 0.852 1.052 0.852 1.052 2.733 2.728 2.724 3.008 3.002 2.996 3.611 3.601 3.591 1.306 1.305 1.304 1.304 1.303 3.582 3.574 3.566 3.558 3.551 36 37 38 39 40 0.681 0.681 0.681 0.681 0.681 0.852 1.052 1.051 0.851 0.851 1.051 0.851 1.050 0,851 0.851 1.050 1.688 1.687 1.686 1.685 1.684 2.028 2.026 2.024 2.023 2.131 2.129 2.127 2.125 2.123 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 3.333 3.326 3.319 3.313 3.307 2.021 0.679 0.679 0.678 0.678 0.677 1.047 0.848 1.045 0.847 1.676 1.671 1.667 1.664 1.662 2.009 2.000 1.994 1.990 1.987 2.678 2.660 2.648 2,639 2.632 2.937 2.915 2.899 2.887 2.878 3.261 3.232 3.211 3.195 3.183 50 1.299 1.296 1.294 1.292 1.291 2.109 2.099 2.093 2.088 2.084 2.403 3.496 3.460 3.435 3.416 3.402 0.849 60 70 80 2.390 2.381 2.374 2.368 1.044 0.846 1.043 90 0.846 1.042 0.677 0.675 0.674 0.845 1.042 0.842 1.037 0.842 1.036 1.984 1.962 1.960 2,871 2.813 2.807 3.174 100 1000 1.290 1.282 1.282 1.660 1.646 1.645 2.081 2.056 2,054 2.364 2.330 2.326 2.626 2.581 2.576 3.390 3.300 3.291 3.098 3.090 Degrees of 0.25 Freedom 0.20 0.15 0.10 0.05 0.025 0.02 0.01 0.005 0.0025 0.001 0.0005 t-Distribution Area in Right Tail
Transcribed Image Text:Student t-Distribution Table -Area in right tail t-Distribution Area in Right Tail 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 6.314 2.920 2.353 2.132 2.015 12.706 4.303 3.182 2.776 2.571 15,894 4.849 3.482 2.999 2.757 1.376 1.963 1 2 3 4 5 1.000 0,816 0.765 0.741 0.727 1.386 0.978 1.250 0.941 3.078 1.886 1.638 1.533 31.821 63.657 127321 318.309 636.619 14.089 7453 5.598 4.773 6.965 4.541 3.747 3.365 22.327 10.215 7173 5.893 31.599 12.924 8.610 6.869 1.061 9.925 5,841 4.604 4.032 1.190 0.920 1.156 1.476 6 7 8 0.718 0.711 0.706 0.703 0.700 1.440 1.415 1.397 1.383 1.372 1.943 1.895 1.860 1.833 1.812 3.143 2.998 2.896 2.821 2.764 3.707 3.499 3.355 3.250 3.169 5.208 4.785 4.501 4.297 4.144 5.959 5.408 5.041 4.781 4.587 0.906 1.134 1.119 0.889 1.108 0.883 1.100 0.879 1.093 2.447 2.365 2.306 2.262 2.228 2.612 2.517 2.449 2.398 2.359 4.317 4.029 3.833 3.690 3.581 0.896 9 10 1.796 1.782 1.771 1.761 0.876 1.088 0.873 11 12 13 0.697 0.695 0.694 0.692 0.691 1.083 0.870 1.079 0.868 1.076 1.363 1.356 1.350 1.345 2.201 2.179 2.160 2.145 2.328 2.303 2.282 2.264 2.249 2.718 2,681 2.650 2.624 2.602 3.106 3.055 3.012 2.977 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 14 15 0.866 1.074 1.341 1.753 2.131 2.947 2.235 2.224 2.214 2.205 2.921 2.898 2.878 3.252 3.222 3.197 3.174 3.153 4.015 3.965 3.922 3.883 3.850 16 17 0.690 0.689 0.688 0.688 0.687 0.865 1.071 0,863 1.069 0.862 1.067 1.337 1.333 18 19 20 1.330 1.328 1.325 1.746 1.740 1.734 1.729 2.120 2.110 2.101 2.093 2.086 2,583 2.567 2.552 2.539 2.528 3,686 3.646 3.610 3.579 0.861 1.066 2.861 2845 0.860 1.064 1.725 2.197 3.552 3.135 3.119 3.104 3.527 3.505 3.485 3.467 3.450 21 22 23 24 25 0.686 0.686 0.685 0.685 0.684 0.859 1.063 0.858 1.061 0.858 1.060 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 2.518 2.508 2.500 2,831 2,819 2,807 3.819 3.792 3.768 3.745 3.725 0.857 1.059 2.172 2.492 2.797 3.091 0.856 1.058 2.167 2485 2.787 3.078 2.056 2.052 2.048 2.045 2.042 2.162 2.158 2.154 2.150 2.147 2.779 2.771 2.763 2.756 2.750 26 27 0.684 0.684 0.683 0.683 0.683 0.856 1.058 0.855 1.057 0.855 1.315 1.314 1.313 1.311 1.310 1.706 1.703 1.701 1.699 1.697 2.479 2.473 2.467 2.462 2.457 3.067 3.057 3.047 3.038 3.030 3.435 3.421 3.408 3.396 3.385 3.707 3.690 1.056 28 29 30 3.674 3.659 3.646 0.854 1.055 0.854 1.055 0.682 0.682 0.682 0.682 0.682 2.040 2.037 2.035 2.032 2.030 2.453 2.449 2.445 2.441 2.438 2.744 2.738 0.853 1.054 1.309 1.309 1.308 1.307 1.306 1.696 2.144 2.141 2.138 2.136 2.133 3.022 3.015 3.375 3.365 3.356 3.348 3.340 3.633 3.622 31 32 33 34 35 0853 1.054 1.694 1.692 1.691 1.600 0.853 1.053 0.852 1.052 0.852 1.052 2.733 2.728 2.724 3.008 3.002 2.996 3.611 3.601 3.591 1.306 1.305 1.304 1.304 1.303 3.582 3.574 3.566 3.558 3.551 36 37 38 39 40 0.681 0.681 0.681 0.681 0.681 0.852 1.052 1.051 0.851 0.851 1.051 0.851 1.050 0,851 0.851 1.050 1.688 1.687 1.686 1.685 1.684 2.028 2.026 2.024 2.023 2.131 2.129 2.127 2.125 2.123 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 3.333 3.326 3.319 3.313 3.307 2.021 0.679 0.679 0.678 0.678 0.677 1.047 0.848 1.045 0.847 1.676 1.671 1.667 1.664 1.662 2.009 2.000 1.994 1.990 1.987 2.678 2.660 2.648 2,639 2.632 2.937 2.915 2.899 2.887 2.878 3.261 3.232 3.211 3.195 3.183 50 1.299 1.296 1.294 1.292 1.291 2.109 2.099 2.093 2.088 2.084 2.403 3.496 3.460 3.435 3.416 3.402 0.849 60 70 80 2.390 2.381 2.374 2.368 1.044 0.846 1.043 90 0.846 1.042 0.677 0.675 0.674 0.845 1.042 0.842 1.037 0.842 1.036 1.984 1.962 1.960 2,871 2.813 2.807 3.174 100 1000 1.290 1.282 1.282 1.660 1.646 1.645 2.081 2.056 2,054 2.364 2.330 2.326 2.626 2.581 2.576 3.390 3.300 3.291 3.098 3.090 Degrees of 0.25 Freedom 0.20 0.15 0.10 0.05 0.025 0.02 0.01 0.005 0.0025 0.001 0.0005 t-Distribution Area in Right Tail
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