MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Question 4

To test Ho: µ = 40 versus H1: µ < 40, a random sample of sizen=25 is obtained from a population that is known to be normally distributed. Complete parts (a) through (d) below. Click here to view the t-Distribution Area in Right Tail. T-distribution area in right tail (a) If x = 37.4 and s = 13.6, compute the test statistic. to (Round to three decimal places as needed.) t-Distribution Area 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 127.321 14.089 7.453 5.598 1.376 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 63.657 636.619 31.599 1.000 3.078 6.314 2.920 2.353 2.132 2.015 1 31.821 318.309 6.965 4.541 3.747 3.365 9.925 5.841 4.604 4.032 0.816 2 0.765 0.741 0.727 1.061 0.978 0.941 0.920 22.327 10.215 7.173 5.893 1.886 1.638 1.533 12.924 8.610 6.869 3 1.476 4.773 0.718 7 0.711 8 0.706 1.943 1.895 1.860 3.143 3.707 4.317 5.208 4.785 4.501 4.297 0.906 1.134 5.959 1.440 1.415 1.397 2.447 2.365 2.306 2.612 2.517 2.449 2.398 2.359 6. 4.029 3.833 5.408 5.041 4.781 4.587 0.896 0.889 1.119 1.108 2.998 2.896 3.499 3.355 3.250 3.169 1.833 1.812 9 0.703 0.883 1.100 1.383 2.262 2.821 3.690 10 0.700 0.879 1.093 1.372 2.228 2.764 3.581 4.144 0.697 0.695 0.694 3.106 3.055 3.012 2.977 2.947 4.025 3.930 3.852 3.787 0.876 1.363 1.356 1.350 1.345 1.341 2.201 2.179 2.160 2.328 2.303 2.282 2.264 2.249 4.437 4.318 4.221 4.140 4.073 11 1.088 1.796 1.782 1.771 2.718 3.497 2.681 2.650 2.624 2.602 12 13 0.873 0.870 1.083 1.079 3.428 3.372 1.076 1.074 1.761 1.753 2.145 2.131 14 0.692 0.691 0.868 3.326 15 0.866 3.286 3.733 0.690 0.689 0.865 0.863 0.862 1.071 1.069 1.067 1.066 2.235 2.224 2.921 2.898 2.878 3.252 3.222 3.197 3.686 3.646 16 17 1.337 1.333 1.330 1.746 1.740 1.734 2.120 2.110 2.101 2.583 2.567 2.552 2.539 2.528 4.015 3.965 18 0.688 3.922 2.214 2.205 2.197 3.610 2.093 2.086 3.174 3.153 19 0.688 1.328 1.729 3.579 0.861 0.860 2.861 2.845 3.883 20 0.687 1.064 1.325 1.725 3.552 3.850 0.859 0.858 0.858 1.063 1.061 1.060 1.059 1.058 1.323 1.321 1.319 1.721 1.717 2.080 2.074 2.069 2.831 2.819 2.807 3.135 3.119 3.104 3.091 3.078 3.527 3.505 3.485 21 22 0.686 0.686 0.685 2.189 2.183 2.177 2.172 2.167 2.500 2.492 2.485 2.518 2.508 3.819 3.792 3.768 3.745 23 1.714 0.857 0.856 24 0.685 1.318 1.711 2.064 2.797 3.467 25 0.684 1.316 1.708 2.060 2.787 3.450 3.725 1.058 1.057 1.706 1.703 2.056 2.052 2.048 2.045 2.042 2.779 2.771 0.856 1.315 2.162 2.479 2.473 26 0.684 3.067 3.435 3.707 0.855 0.855 3.057 3.047 3.038 3.030 3.421 3.408 1.314 1.313 1.311 1.310 3.690 3.674 27 0.684 0.683 0.683 0.683 2.158 2.154 1.701 1.699 1.697 2.467 2.462 2.457 2.763 2.756 2.750 28 1.056 29 30 0.854 0.854 1.055 1.055 2.150 2.147 3.396 3.385 3.659 3.646 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 cas
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Transcribed Image Text:To test Ho: µ = 40 versus H1: µ < 40, a random sample of sizen=25 is obtained from a population that is known to be normally distributed. Complete parts (a) through (d) below. Click here to view the t-Distribution Area in Right Tail. T-distribution area in right tail (a) If x = 37.4 and s = 13.6, compute the test statistic. to (Round to three decimal places as needed.) t-Distribution Area 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 127.321 14.089 7.453 5.598 1.376 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 63.657 636.619 31.599 1.000 3.078 6.314 2.920 2.353 2.132 2.015 1 31.821 318.309 6.965 4.541 3.747 3.365 9.925 5.841 4.604 4.032 0.816 2 0.765 0.741 0.727 1.061 0.978 0.941 0.920 22.327 10.215 7.173 5.893 1.886 1.638 1.533 12.924 8.610 6.869 3 1.476 4.773 0.718 7 0.711 8 0.706 1.943 1.895 1.860 3.143 3.707 4.317 5.208 4.785 4.501 4.297 0.906 1.134 5.959 1.440 1.415 1.397 2.447 2.365 2.306 2.612 2.517 2.449 2.398 2.359 6. 4.029 3.833 5.408 5.041 4.781 4.587 0.896 0.889 1.119 1.108 2.998 2.896 3.499 3.355 3.250 3.169 1.833 1.812 9 0.703 0.883 1.100 1.383 2.262 2.821 3.690 10 0.700 0.879 1.093 1.372 2.228 2.764 3.581 4.144 0.697 0.695 0.694 3.106 3.055 3.012 2.977 2.947 4.025 3.930 3.852 3.787 0.876 1.363 1.356 1.350 1.345 1.341 2.201 2.179 2.160 2.328 2.303 2.282 2.264 2.249 4.437 4.318 4.221 4.140 4.073 11 1.088 1.796 1.782 1.771 2.718 3.497 2.681 2.650 2.624 2.602 12 13 0.873 0.870 1.083 1.079 3.428 3.372 1.076 1.074 1.761 1.753 2.145 2.131 14 0.692 0.691 0.868 3.326 15 0.866 3.286 3.733 0.690 0.689 0.865 0.863 0.862 1.071 1.069 1.067 1.066 2.235 2.224 2.921 2.898 2.878 3.252 3.222 3.197 3.686 3.646 16 17 1.337 1.333 1.330 1.746 1.740 1.734 2.120 2.110 2.101 2.583 2.567 2.552 2.539 2.528 4.015 3.965 18 0.688 3.922 2.214 2.205 2.197 3.610 2.093 2.086 3.174 3.153 19 0.688 1.328 1.729 3.579 0.861 0.860 2.861 2.845 3.883 20 0.687 1.064 1.325 1.725 3.552 3.850 0.859 0.858 0.858 1.063 1.061 1.060 1.059 1.058 1.323 1.321 1.319 1.721 1.717 2.080 2.074 2.069 2.831 2.819 2.807 3.135 3.119 3.104 3.091 3.078 3.527 3.505 3.485 21 22 0.686 0.686 0.685 2.189 2.183 2.177 2.172 2.167 2.500 2.492 2.485 2.518 2.508 3.819 3.792 3.768 3.745 23 1.714 0.857 0.856 24 0.685 1.318 1.711 2.064 2.797 3.467 25 0.684 1.316 1.708 2.060 2.787 3.450 3.725 1.058 1.057 1.706 1.703 2.056 2.052 2.048 2.045 2.042 2.779 2.771 0.856 1.315 2.162 2.479 2.473 26 0.684 3.067 3.435 3.707 0.855 0.855 3.057 3.047 3.038 3.030 3.421 3.408 1.314 1.313 1.311 1.310 3.690 3.674 27 0.684 0.683 0.683 0.683 2.158 2.154 1.701 1.699 1.697 2.467 2.462 2.457 2.763 2.756 2.750 28 1.056 29 30 0.854 0.854 1.055 1.055 2.150 2.147 3.396 3.385 3.659 3.646 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 cas
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