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To test Ho: u= 50 versus H,: u< 50, a rand Click here to view the t-Distribution Are a) If x = 47.3 and s= 14.5, compute the tes (Round to three decimal places as %3D

To test Ho: u= 50 versus H,: u< 50, a rand Click here to view the t-Distribution Are a) If x = 47.3 and s= 14.5, compute the tes (Round to three decimal places as %3D

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 Hn: µ = 50 versus H,: µ< 50, a random sample of size n = 23 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. (a) If x = 47.3 and s = 14.5, compute the test statistic. to = (Round to three decimal places as needed.)
Transcribed Image Text:To test Hn: µ = 50 versus H,: µ< 50, a random sample of size n = 23 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. (a) If x = 47.3 and s = 14.5, compute the test statistic. to = (Round to three decimal places as needed.)
t-Distribution Area in Right Tail df 1.25 0.20 0.15 0.10 0.025 0,02 0.005 0.0025 0,001 0,0005 1.000 2. 1.963 1.386 1.250 1.190 1.156 15.894 4.849 3.482 2.999 1.376 3.078 6314 12.706 31.821 63.657 127.321 318.309 636.619 0.816 0.765 0.741 0.727 4.301 3.182 2.776 6.965 4.541 3.747 3.365 1.061 0.978 1.886 1.638 1.533 1.476 2.920 2.353 2.132 2.015 9.925 5.841 4.604 14.089 7.453 5.598 4.773 22.327 10.215 7.173 S893 31.599 12.924 8.610 0.941 0.920 2.571 2.757 4.032 6.869 1.943 1895 6. 0.718 0.906 0.896 0.S89 1.134 1.40 2.447 2.612 3.143 3.707 3.499 4.317 5.208 5.959 5.408 4.029 3.833 7 0.711 1415 1.397 1.383 1.372 2.365 2.306 2.517 2.449 1.119 1.108 1.100 1.093 2.998 2.896 2.821 2.764 4.785 4.501 4.297 4.144 0.706 0,703 0.700 L833 1.812 2.262 2.228 3.355 3.250 3.169 5.041 4.781 4.587 2.398 3.690 10 0.879 2.359 3.581 1.363 1356 1350 1.345 1.341 11 12 13 2.328 2,303 3.497 3.428 3.372 0697 0.876 1.796 1.782 1.771 1.761 1.753 2.201 2.179 2.160 2.145 2.718 2.681 2.650 2624 2.602 3.106 0.695 0.694 O.873 0.870 4.025 3.930 3.852 4.437 4.318 4.221 1.083 1079 1076 1.074 3.055 3.012 14 15 0.692 0.691 0.868 0.866 2.282 2.264 2.249 2.977 2.947 3.326 3.286 3.787 3.733 3.686 3646 4.140 4.073 2.131 0,690 0.689 2.921 2.848 0.865 O.63 0.862 0.861 16 17 1.071 1.069 1.337 1.333 1.746 1.740 2.120 2.110 2235 2.224 2.583 2.567 3.252 3.222 4.015 3.965 1.734 1.729 18 0.688 1067 1.066 1.330 1.328 2.101 2.093 2.214 2.552 2.539 2.878 3.197 3.174 3610 3.579 3.922 2.205 2.197 2.61 2.845 19 0.688 20 0,687 0.0 1.064 1.325 1.725 2.086 2.528 3.153 3.552 3850 21 22 0.859 1.063 1.061 1.323 1.321 1319 1318 1.721 1717 1.714 1.711 1.708 2.N0 2.189 2518 2.831 2.819 3.135 3.527 3819 0.858 2508 2.500 2.492 3.505 3485 3.467 0.686 0.685 0.685 0.684 2.074 2.069 2.064 2.183 2.177 2.172 2.167 2.162 3.119 3.104 3.091 3.078 3.792 3.768 3.745 3.725 23 24 1.060 L059 2.807 2.797 2.787 2.779 2.771 2.763 0.857 25 0856 1.316 2.060 2.485 3450 1.0S8 1.057 1056 1055 1055 1054 1O54 1053 LO52 1.052 26 0.684 1.315 2.056 2479 3.067 3.435 3.707 27 28 0,684 0.683 L314 L203 2.052 2048 2.158 2.473 2.467 3.057 3421 3.690 1.313 1.311 1310 3.047 3.408 1.701 L99 1697 L696 L694 1.692 29 30 2.154 2.150 2.147 2.756 2.750 3.674 3.659 3646 0.683 0.683 0.682 0682 0.682 0.682 0.682 0.854 0.854 2045 2.042 2.462 2.457 3.038 3.030 3396 3385 2.453 2.449 2.445 31 0.853 1.309 2.040 2.144 2.744 3.022 1.309 1.308 1307 1.306 3375 3.365 3.356 3.348 3340 3.633 3.622 3.611 3,601 3.591 32 33 0.853 0.853 0.852 OK52 2.037 2.035 2.032 2.030 2.141 2.138 2.738 2.733 3.015 3.008 3.002 2.996 34 35 1691 1.690 2136 2.133 2.441 2438 2.728 2.724 36 37 0.681 0.681 0.852 O.851 1.052 1.306 1.305 1688 2.028 2.131 2.129 2.434 2.719 2.715 2.990 2.985 3333 3.582 10S1 0.681 0.681 0.681 0.851 0.851 0.851 1.051 1O50 LOS0 1.304 1.304 1.303 169 L685 L684 2.026 2.024 2.023 2.021 2.127 2.125 2.123 2.431 2.429 2.426 2.423 2.712 2,708 2.704 2.980 2.976 2.971 3.326 3.319 3.313 3.307 3.574 3.566 3.558 3.551 39 40 0.679 0.679 0.678 0.678 1.676 L671 1667 L664 1662 1.047 1.045 1.299 1.296 1294 1292 2.109 2.099 2.403 2.390 2,678 2.660 2.937 2.915 2.899 2887 50 60 3.261 3.232 0.849 2.009 2.000 3.496 3.460 0.848 0.847 1044 LO43 1.994 1990 1.987 2.093 2.088 2.648 2.639 3.211 3.195 70 2.381 2.374 3.435 3.416 O.846 0.846 90 0.677 1.042 1.291 2.084 2.368 2.632 2.878 3.183 3402 O845 0.842 0.842 1660 1.646 1645 2.364 2626 0.677 0.675 0.674 1290 1.282 1.282 1.984 1.962 1.960 3.174 3.098 3090 2.081 2.871 2813 2.807 100 1042 3.390 1000 1.037 1036 2.056 2.054 2.330 2.326 2.581 2.576 3.300 3.291
Transcribed Image Text:t-Distribution Area in Right Tail df 1.25 0.20 0.15 0.10 0.025 0,02 0.005 0.0025 0,001 0,0005 1.000 2. 1.963 1.386 1.250 1.190 1.156 15.894 4.849 3.482 2.999 1.376 3.078 6314 12.706 31.821 63.657 127.321 318.309 636.619 0.816 0.765 0.741 0.727 4.301 3.182 2.776 6.965 4.541 3.747 3.365 1.061 0.978 1.886 1.638 1.533 1.476 2.920 2.353 2.132 2.015 9.925 5.841 4.604 14.089 7.453 5.598 4.773 22.327 10.215 7.173 S893 31.599 12.924 8.610 0.941 0.920 2.571 2.757 4.032 6.869 1.943 1895 6. 0.718 0.906 0.896 0.S89 1.134 1.40 2.447 2.612 3.143 3.707 3.499 4.317 5.208 5.959 5.408 4.029 3.833 7 0.711 1415 1.397 1.383 1.372 2.365 2.306 2.517 2.449 1.119 1.108 1.100 1.093 2.998 2.896 2.821 2.764 4.785 4.501 4.297 4.144 0.706 0,703 0.700 L833 1.812 2.262 2.228 3.355 3.250 3.169 5.041 4.781 4.587 2.398 3.690 10 0.879 2.359 3.581 1.363 1356 1350 1.345 1.341 11 12 13 2.328 2,303 3.497 3.428 3.372 0697 0.876 1.796 1.782 1.771 1.761 1.753 2.201 2.179 2.160 2.145 2.718 2.681 2.650 2624 2.602 3.106 0.695 0.694 O.873 0.870 4.025 3.930 3.852 4.437 4.318 4.221 1.083 1079 1076 1.074 3.055 3.012 14 15 0.692 0.691 0.868 0.866 2.282 2.264 2.249 2.977 2.947 3.326 3.286 3.787 3.733 3.686 3646 4.140 4.073 2.131 0,690 0.689 2.921 2.848 0.865 O.63 0.862 0.861 16 17 1.071 1.069 1.337 1.333 1.746 1.740 2.120 2.110 2235 2.224 2.583 2.567 3.252 3.222 4.015 3.965 1.734 1.729 18 0.688 1067 1.066 1.330 1.328 2.101 2.093 2.214 2.552 2.539 2.878 3.197 3.174 3610 3.579 3.922 2.205 2.197 2.61 2.845 19 0.688 20 0,687 0.0 1.064 1.325 1.725 2.086 2.528 3.153 3.552 3850 21 22 0.859 1.063 1.061 1.323 1.321 1319 1318 1.721 1717 1.714 1.711 1.708 2.N0 2.189 2518 2.831 2.819 3.135 3.527 3819 0.858 2508 2.500 2.492 3.505 3485 3.467 0.686 0.685 0.685 0.684 2.074 2.069 2.064 2.183 2.177 2.172 2.167 2.162 3.119 3.104 3.091 3.078 3.792 3.768 3.745 3.725 23 24 1.060 L059 2.807 2.797 2.787 2.779 2.771 2.763 0.857 25 0856 1.316 2.060 2.485 3450 1.0S8 1.057 1056 1055 1055 1054 1O54 1053 LO52 1.052 26 0.684 1.315 2.056 2479 3.067 3.435 3.707 27 28 0,684 0.683 L314 L203 2.052 2048 2.158 2.473 2.467 3.057 3421 3.690 1.313 1.311 1310 3.047 3.408 1.701 L99 1697 L696 L694 1.692 29 30 2.154 2.150 2.147 2.756 2.750 3.674 3.659 3646 0.683 0.683 0.682 0682 0.682 0.682 0.682 0.854 0.854 2045 2.042 2.462 2.457 3.038 3.030 3396 3385 2.453 2.449 2.445 31 0.853 1.309 2.040 2.144 2.744 3.022 1.309 1.308 1307 1.306 3375 3.365 3.356 3.348 3340 3.633 3.622 3.611 3,601 3.591 32 33 0.853 0.853 0.852 OK52 2.037 2.035 2.032 2.030 2.141 2.138 2.738 2.733 3.015 3.008 3.002 2.996 34 35 1691 1.690 2136 2.133 2.441 2438 2.728 2.724 36 37 0.681 0.681 0.852 O.851 1.052 1.306 1.305 1688 2.028 2.131 2.129 2.434 2.719 2.715 2.990 2.985 3333 3.582 10S1 0.681 0.681 0.681 0.851 0.851 0.851 1.051 1O50 LOS0 1.304 1.304 1.303 169 L685 L684 2.026 2.024 2.023 2.021 2.127 2.125 2.123 2.431 2.429 2.426 2.423 2.712 2,708 2.704 2.980 2.976 2.971 3.326 3.319 3.313 3.307 3.574 3.566 3.558 3.551 39 40 0.679 0.679 0.678 0.678 1.676 L671 1667 L664 1662 1.047 1.045 1.299 1.296 1294 1292 2.109 2.099 2.403 2.390 2,678 2.660 2.937 2.915 2.899 2887 50 60 3.261 3.232 0.849 2.009 2.000 3.496 3.460 0.848 0.847 1044 LO43 1.994 1990 1.987 2.093 2.088 2.648 2.639 3.211 3.195 70 2.381 2.374 3.435 3.416 O.846 0.846 90 0.677 1.042 1.291 2.084 2.368 2.632 2.878 3.183 3402 O845 0.842 0.842 1660 1.646 1645 2.364 2626 0.677 0.675 0.674 1290 1.282 1.282 1.984 1.962 1.960 3.174 3.098 3090 2.081 2.871 2813 2.807 100 1042 3.390 1000 1.037 1036 2.056 2.054 2.330 2.326 2.581 2.576 3.300 3.291
Expert Solution
Step 1

The formula for test statistic is t0=x-μ0sn

Given information:

x=47.3s=14.5n=23μ0=50

 

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