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ssume that both populations are normally distributed. ) Test whether u, > H, at the a = 0.10 level of significance for the given sample data. ) Construct a 90% confidence interval about p, - H2 Sample 1 27 Sample 2 20 X 53 45.2 9.7 12.3 Click the icon to view the Student's t-distribution table. ) Perform a hypothesis test. Determine the null and alternative hypotheses. DA. Ho: H1 < H2, HqH1> H2 OB. Ho H1 > H2, HHqH2 etermine the test statistic. = (Round to two decimal places as needed.) pproximate the P-value. Choose the correct answer below. OA. P-value < 0.01 OB. 0.01 sP-value < 0.05 OC. 0.05 sP-value <0.10 OD. P-value 0.10 hould the hypothesis be rejected at the a = 0.10 level of significance? the null hypothesis because the P-value is v the level of significance. ) The confidence interval is the range from to. Round to two decimal places as needed. Use ascending order.)

ssume that both populations are normally distributed. ) Test whether u, > H, at the a = 0.10 level of significance for the given sample data. ) Construct a 90% confidence interval about p, - H2 Sample 1 27 Sample 2 20 X 53 45.2 9.7 12.3 Click the icon to view the Student's t-distribution table. ) Perform a hypothesis test. Determine the null and alternative hypotheses. DA. Ho: H1 < H2, HqH1> H2 OB. Ho H1 > H2, HHqH2 etermine the test statistic. = (Round to two decimal places as needed.) pproximate the P-value. Choose the correct answer below. OA. P-value < 0.01 OB. 0.01 sP-value < 0.05 OC. 0.05 sP-value <0.10 OD. P-value 0.10 hould the hypothesis be rejected at the a = 0.10 level of significance? the null hypothesis because the P-value is v the level of significance. ) The confidence interval is the range from to. Round to two decimal places as needed. Use ascending order.)

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 µ, > H, at the a = 0.10 level of significance for the given sample data. b) Construct a 90% confidence interval about u, - H2. Sample 1 Sample 2 n. 27 20 53 45.2 9.7 12.3 Click the icon to view the Student's t-distribution table. a) Perform a hypothesis test. Determine the null and alternative hypotheses. O A. Ho: H1 <H2, H1: H1> H2 O B. Ho: H1 > H2, H1: H1 <H2 O C. Ho: H1 = 42, H1: 1<H2 OD. Ho H1 = H2, H1: H1> H2 Determine the test statistic. t= (Round to two decimal places as needed.) Approximate the P-value. Choose the correct answer below. O A. P-value <0.01 O B. 0.01 < P-value < 0.05 OC. 0.05 < P-value < 0.10 O D. P-value 2 0.10 Should the hypothesis be rejected at the a = 0.10 level of significance? V the null hypothesis because the P-value is the level of significance. b) 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 µ, > H, at the a = 0.10 level of significance for the given sample data. b) Construct a 90% confidence interval about u, - H2. Sample 1 Sample 2 n. 27 20 53 45.2 9.7 12.3 Click the icon to view the Student's t-distribution table. a) Perform a hypothesis test. Determine the null and alternative hypotheses. O A. Ho: H1 <H2, H1: H1> H2 O B. Ho: H1 > H2, H1: H1 <H2 O C. Ho: H1 = 42, H1: 1<H2 OD. Ho H1 = H2, H1: H1> H2 Determine the test statistic. t= (Round to two decimal places as needed.) Approximate the P-value. Choose the correct answer below. O A. P-value <0.01 O B. 0.01 < P-value < 0.05 OC. 0.05 < P-value < 0.10 O D. P-value 2 0.10 Should the hypothesis be rejected at the a = 0.10 level of significance? V the null hypothesis because the P-value is the level of significance. b) The confidence interval is the range from to (Round to two decimal places as needed. Use ascending order.)
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 1 2 3 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 3.078 1.886 1.638 1.533 1.476 6.314 2.920 2.353 2.132 2.015 12.706 4.303 3.182 15,804 4,849 3.482 2.999 2.757 31.821 63.657 127.321 318.309 636.619 31.599 12.924 8.610 6.869 6.965 9.925 4.541 3.747 3.365 14.089 7453 5.598 4.773 22.327 10.215 7173 5.893 5.841 4 5 0.941 0.920 2.776 2.571 4.604 4.032 0.718 0.711 0.706 0.703 0.700 0,906 1.134 0,896 1.119 0.889 1.108 0.883 1.100 0.879 1.093 1.440 1.415 1.397 1.383 1.372 2.447 2.365 2.306 2.262 2.228 2.612 2.517 2.449 2.398 3.143 2.998 3.499 2.896 3.355 2.821 5.208 4.785 4.501 4.297 4.144 5.959 5.408 5.041 4.781 4.587 3.707 4.317 4.029 3.833 3 600 1.943 1.895 7 1.860 1.833 3.250 3.169 3.690 3.581 10 1.812 2.359 2.764 0.697 0.695 0.694 0.692 0.691 4.437 4.318 4.221 4.140 4.073 0.876 1.088 0.873 11 12 13 14 15 1.083 0.870 1.079 0.868 1.076 0.866 1.074 1.363 1.356 1.350 1.345 1.796 1.782 1.771 2.201 2.179 2.160 2.145 2.328 2.303 2.282 2.264 2.249 2.718 3.106 2.681 3.055 2.650 3.012 2.624 2.977 2.602 2.947 3.497 3.428 3.372 3.326 3.286 4.025 3.930 3,852 3.787 3.733 1.761 1.753 1.341 2.131 0,865 0.863 0.862 0.861 0.860 2.120 2.110 2.101 2.093 2.235 2.224 1.071 1.069 1.067 1.066 1.064 1.337 1.333 1.330 1.328 1.325 2.583 2.921 2,567 16 17 18 19 20 0.690 0.689 0.688 0.688 0.687 1.746 1.740 1.734 1.720 1.725 2.214 2.205 2.197 2.898 2.552 2.878 2.539 2.861 2.528 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 2.086 2.845 0.686 0.686 0.685 0.685 0.684 LO63 1.061 1.060 1.059 1.058 1.721 1.717 0.859 0.858 0.858 0,857 0.856 1.323 2.518 3.135 21 22 23 24 25 3.527 3.505 3.485 1.063 2.080 2.074 2.189 2.183 2.177 2.172 2.167 2.831 3.819 3.792 3.768 3.745 3.725 2.508 1.321 1.319 1.318 1.316 1.714 1.711 1.708 2.819 2.500 2.807 2.492 2.797 3.119 3.104 3.001 2.069 2.064 3.467 3.450 2.060 2.485 2.787 3.078 0.684 0.684 0.683 0.683 0.683 0.856 0.855 0.855 0,854 0.854 1.058 1.057 1.056 1.055 1.055 1.706 1.703 1.701 1.609 1.697 2.056 2.162 2.158 2.154 2.150 2.147 2.779 26 27 28 29 30 3.067 3.057 3.047 3.038 3.435 3.421 3.408 1.315 1.314 2.479 3.707 3.690 3.674 3,659 2.473 2.052 2.048 2.045 2.771 2.467 1.313 1.311 1.310 2.763 2.462 2.756 2.750 3.306 3.385 2.042 2457 3.030 3.646 31 32 33 34 35 0.682 0.682 0.682 0.682 0.682 0.853 0.853 0.853 0.852 0.852 1.054 1.054 1.053 1.052 1.052 1.309 1.309 1.308 1.307 1.306 2.453 2.449 2.445 2441 1.696 2.040 2.037 2.035 2.032 2.030 2.144 2.141 2.744 2.738 2.733 2.728 3.022 3.015 3.008 3.002 2.996 3.375 3.365 1,60 1.692 1.691 1.690 3.633 3.622 3.611 3.601 3.591 2.138 2.136 3.356 3.348 3.340 2.133 2438 2724 3.333 3.326 3.319 3.313 3.307 3,582 36 37 38 39 40 0.681 0.681 0.681 0.681 0.681 0.852 0,851 1.052 1.051 1.306 1.305 1.304 1.304 1.303 1.688 1.687 1.686 1.685 1.684 2.028 2.026 2.024 2.023 2.021 2.434 2431 2.429 2.131 2.129 2.719 2.715 2.712 2.426 2.708 2.704 2.990 2.985 2.980 2.976 2.971 3.574 0.851 0.851 0.851 1.051 1.050 1.050 2.127 2.125 2.123 3.566 3.558 3.551 2.423 50 60 70 80 90 0.679 0.679 0.678 0.678 0677 0.849 0.848 0,847 0.846 0.846 1.047 1.045 1.044 1.043 1.042 1.299 1.296 1.294 1.292 1.291 1.676 1.671 1.667 1.664 1.662 2.009 2.000 1.994 1.990 1.987 2.109 2.099 2.093 2.088 2.084 2.403 2.390 2.381 2.374 2.368 2.678 2.660 2.648 2.639 2,632 2.937 2.915 2.899 2.887 3.261 3.232 3.211 3.195 3.183 3.496 3.460 3.435 3.416 3.402 2.878 100 1000 0.677 0,675 0,674 0.845 0,842 0.842 1.042 1.037 1.036 1.290 1.282 1.282 1.660 1.646 1.645 1.984 1.962 1.960 2.081 2.056 2.054 2.364 2.330 2.326 2.626 2.581 2.576 2.871 2.813 2.807 3.174 3,098 3,090 3.390 3.300 3.291 0,02 Degrees of 0.25 0.20 0.15 Freedom 0.10 0.05 0.025 0.01 0.005 0.0025 0.001 0.0005 t-Distribution Area in Right Tail Print Done
Transcribed Image Text: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 1 2 3 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 3.078 1.886 1.638 1.533 1.476 6.314 2.920 2.353 2.132 2.015 12.706 4.303 3.182 15,804 4,849 3.482 2.999 2.757 31.821 63.657 127.321 318.309 636.619 31.599 12.924 8.610 6.869 6.965 9.925 4.541 3.747 3.365 14.089 7453 5.598 4.773 22.327 10.215 7173 5.893 5.841 4 5 0.941 0.920 2.776 2.571 4.604 4.032 0.718 0.711 0.706 0.703 0.700 0,906 1.134 0,896 1.119 0.889 1.108 0.883 1.100 0.879 1.093 1.440 1.415 1.397 1.383 1.372 2.447 2.365 2.306 2.262 2.228 2.612 2.517 2.449 2.398 3.143 2.998 3.499 2.896 3.355 2.821 5.208 4.785 4.501 4.297 4.144 5.959 5.408 5.041 4.781 4.587 3.707 4.317 4.029 3.833 3 600 1.943 1.895 7 1.860 1.833 3.250 3.169 3.690 3.581 10 1.812 2.359 2.764 0.697 0.695 0.694 0.692 0.691 4.437 4.318 4.221 4.140 4.073 0.876 1.088 0.873 11 12 13 14 15 1.083 0.870 1.079 0.868 1.076 0.866 1.074 1.363 1.356 1.350 1.345 1.796 1.782 1.771 2.201 2.179 2.160 2.145 2.328 2.303 2.282 2.264 2.249 2.718 3.106 2.681 3.055 2.650 3.012 2.624 2.977 2.602 2.947 3.497 3.428 3.372 3.326 3.286 4.025 3.930 3,852 3.787 3.733 1.761 1.753 1.341 2.131 0,865 0.863 0.862 0.861 0.860 2.120 2.110 2.101 2.093 2.235 2.224 1.071 1.069 1.067 1.066 1.064 1.337 1.333 1.330 1.328 1.325 2.583 2.921 2,567 16 17 18 19 20 0.690 0.689 0.688 0.688 0.687 1.746 1.740 1.734 1.720 1.725 2.214 2.205 2.197 2.898 2.552 2.878 2.539 2.861 2.528 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 2.086 2.845 0.686 0.686 0.685 0.685 0.684 LO63 1.061 1.060 1.059 1.058 1.721 1.717 0.859 0.858 0.858 0,857 0.856 1.323 2.518 3.135 21 22 23 24 25 3.527 3.505 3.485 1.063 2.080 2.074 2.189 2.183 2.177 2.172 2.167 2.831 3.819 3.792 3.768 3.745 3.725 2.508 1.321 1.319 1.318 1.316 1.714 1.711 1.708 2.819 2.500 2.807 2.492 2.797 3.119 3.104 3.001 2.069 2.064 3.467 3.450 2.060 2.485 2.787 3.078 0.684 0.684 0.683 0.683 0.683 0.856 0.855 0.855 0,854 0.854 1.058 1.057 1.056 1.055 1.055 1.706 1.703 1.701 1.609 1.697 2.056 2.162 2.158 2.154 2.150 2.147 2.779 26 27 28 29 30 3.067 3.057 3.047 3.038 3.435 3.421 3.408 1.315 1.314 2.479 3.707 3.690 3.674 3,659 2.473 2.052 2.048 2.045 2.771 2.467 1.313 1.311 1.310 2.763 2.462 2.756 2.750 3.306 3.385 2.042 2457 3.030 3.646 31 32 33 34 35 0.682 0.682 0.682 0.682 0.682 0.853 0.853 0.853 0.852 0.852 1.054 1.054 1.053 1.052 1.052 1.309 1.309 1.308 1.307 1.306 2.453 2.449 2.445 2441 1.696 2.040 2.037 2.035 2.032 2.030 2.144 2.141 2.744 2.738 2.733 2.728 3.022 3.015 3.008 3.002 2.996 3.375 3.365 1,60 1.692 1.691 1.690 3.633 3.622 3.611 3.601 3.591 2.138 2.136 3.356 3.348 3.340 2.133 2438 2724 3.333 3.326 3.319 3.313 3.307 3,582 36 37 38 39 40 0.681 0.681 0.681 0.681 0.681 0.852 0,851 1.052 1.051 1.306 1.305 1.304 1.304 1.303 1.688 1.687 1.686 1.685 1.684 2.028 2.026 2.024 2.023 2.021 2.434 2431 2.429 2.131 2.129 2.719 2.715 2.712 2.426 2.708 2.704 2.990 2.985 2.980 2.976 2.971 3.574 0.851 0.851 0.851 1.051 1.050 1.050 2.127 2.125 2.123 3.566 3.558 3.551 2.423 50 60 70 80 90 0.679 0.679 0.678 0.678 0677 0.849 0.848 0,847 0.846 0.846 1.047 1.045 1.044 1.043 1.042 1.299 1.296 1.294 1.292 1.291 1.676 1.671 1.667 1.664 1.662 2.009 2.000 1.994 1.990 1.987 2.109 2.099 2.093 2.088 2.084 2.403 2.390 2.381 2.374 2.368 2.678 2.660 2.648 2.639 2,632 2.937 2.915 2.899 2.887 3.261 3.232 3.211 3.195 3.183 3.496 3.460 3.435 3.416 3.402 2.878 100 1000 0.677 0,675 0,674 0.845 0,842 0.842 1.042 1.037 1.036 1.290 1.282 1.282 1.660 1.646 1.645 1.984 1.962 1.960 2.081 2.056 2.054 2.364 2.330 2.326 2.626 2.581 2.576 2.871 2.813 2.807 3.174 3,098 3,090 3.390 3.300 3.291 0,02 Degrees of 0.25 0.20 0.15 Freedom 0.10 0.05 0.025 0.01 0.005 0.0025 0.001 0.0005 t-Distribution Area in Right Tail Print Done
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