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To test Ho: u = 100 versus H,: µ# 100, a simple random sample size of n = 22 is obtained from a population that is known to be normally distributed. Answer parts (a)-(d). E Click here to view the t-Distribution Area in Right Tail. (a) If x = 105.4 and s = 9.6, compute the test statistic. t= 2.638 (Round to three decimal places as needed.) (b) If the researcher decides to test this hypothesis at the a = 0.01 level of significance, determine the critical values. The critical values are (Use a comma to separate answers as needed. Round to three decimal places as needed.)

To test Ho: u = 100 versus H,: µ# 100, a simple random sample size of n = 22 is obtained from a population that is known to be normally distributed. Answer parts (a)-(d). E Click here to view the t-Distribution Area in Right Tail. (a) If x = 105.4 and s = 9.6, compute the test statistic. t= 2.638 (Round to three decimal places as needed.) (b) If the researcher decides to test this hypothesis at the a = 0.01 level of significance, determine the critical values. The critical values are (Use a comma to separate answers as needed. Round to three decimal places as needed.)

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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Question 1

To test Ho: µ = 100 versus H,: H# 100, a simple random sample size of n= 22 is obtained from a population that is known to be normally distributed. Answer parts (a)-(d). Click here to view the t-Distribution Area in Right Tail. ..... (a) If x = 105.4 and s = 9.6, compute the test statistic. t = 2.638 (Round to three decimal places as needed.) (b) If the researcher decides to test this hypothesis at the a = 0.01 level of significance, determine the critical values. The critical values are (Use a comma to separate answers as needed. Round to three decimal places as needed.)
Transcribed Image Text:To test Ho: µ = 100 versus H,: H# 100, a simple random sample size of n= 22 is obtained from a population that is known to be normally distributed. Answer parts (a)-(d). Click here to view the t-Distribution Area in Right Tail. ..... (a) If x = 105.4 and s = 9.6, compute the test statistic. t = 2.638 (Round to three decimal places as needed.) (b) If the researcher decides to test this hypothesis at the a = 0.01 level of significance, determine the critical values. The critical values are (Use a comma to separate answers as needed. Round to three decimal places as needed.)
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 12.706 4.303 3.182 2.776 2571 15.894 4.849 3.482 2.999 31.821 6.965 4.541 3.747 3.365 63.657 9.925 5.841 4.604 4.032 127.321 14.089 7.453 5.598 4.773 318.309 22.327 10.215 7.173 5.893 636.619 31.599 12.924 8,610 6.869 1 1.000 1.376 1.963 1.386 1.250 1.190 3.078 6.314 2.920 2.353 2.132 2.015 2 0,816 0.765 0.741 0.727 1.061 0.978 0.941 0.920 1.886 1.638 1.533 1.476 2 3 3 5 1.156 2.757 5 1.440 1.415 1.397 1.383 1.372 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 0.718 7 0.906 1.134 1.119 1.108 1.100 1.093 3.143 2.998 2.896 2.821 2.764 3.707 3.499 3.355 3.250 3.169 4.317 5.208 4.785 4.501 4.297 4.144 5.959 5.408 5.041 4.781 6. 0.711 8 0.706 0.703 0.700 0.896 0.889 0.883 0.879 4.029 3.833 3.690 3.581 8 9 10 4.587 10 0.697 0,695 0,694 0.692 0.691 0.876 0.873 0,870 0.868 1.363 1.356 1.350 1.345 1.341 2.201 2.179 2.160 2.145 2.131 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 2.947 3.497 3.428 3.372 3.326 3.286 4.025 3.930 11 1.088 1.796 4.437 11 12 13 1.083 1.079 1.076 1.782 1.771 1.761 1.753 4.318 4.221 12 13 3.852 3.787 3.733 14 4.140 14 15 0.866 1.074 4.073 15 1.337 1.333 1.330 1.328 1.325 1.746 1.740 1.734 1.729 1.725 2.120 2.110 2.101 2.093 2.086 2.583 2.567 2.552 2.539 2.528 3.252 3.222 3.197 3.174 3.153 0.690 16 17 0,865 0,863 0.862 0.861 0.860 1.071 1.069 1.067 1.066 1.064 2.235 2.224 2.214 2.205 2.197 2.921 2.898 2.878 2.861 2.845 3.686 3.646 4.015 3.965 16 17 0.689 0.688 0,688 0.687 18 3.610 3.922 3.883 3.850 18 3.579 3.552 19 19 20 20 0.859 0858 0.858 0,857 0.856 1.323 1.321 1.063 1.061 1.060 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 2.172 2.167 3.135 3.119 3.104 3.091 3.078 3.527 3.505 3.485 3.467 3.450 21 22 0.686 0.686 2.518 2.831 2.819 2,807 2.797 2.787 3.819 3.792 3.768 3.745 3.725 21 22 0.685 0.685 0.684 1.319 1.318 1.316 2.508 2.500 2.492 2.485 23 23 24 1.059 24 25 1.058 25 3.435 3.421 0856 0,855 0855 0.854 0.854 1.058 1.057 1.056 1.055 1.055 1.315 1.314 1.313 1.311 1.310 2.479 2.473 2.467 2.462 2.457 2.779 2.771 2.763 2.756 2.750 2.056 2.052 2.162 2.158 2.154 2.150 2.147 3.067 3.057 3.707 3.690 3.674 3.659 3.646 26 27 0,684 1.706 1.703 1.701 1.699 1.697 26 0.684 0.683 0.683 0.683 27 28 2.048 3.047 3.408 28 29 30 2.045 2.042 3.038 3.030 3.396 3.385 29 30 1.054 1.054 1.053 1.052 1.052 1.696 1.694 1.692 1.691 1.690 2.040 2.037 2.035 2.032 2.030 2.144 2.141 2.138 2.136 2.133 2.453 2.449 2.445 2.441 2.438 2.744 2.738 2.733 2.728 2.724 3.022 3.015 3.008 3.002 2.996 3.375 3.365 3.356 3.348 3.340 3.633 3.622 3.611 3.601 3.591 31 0.682 0,853 1.309 31 0.682 0.682 0.682 0.682 0.853 0,853 0.852 0.852 1.309 1.308 1.307 1.306 32 32 33 33 34 35 34 35 1.306 1.305 1.304 1.304 1.303 2.131 2.129 2.127 2.125 2.123 2.719 2.715 36 0.681 0.681 0.681 0.681 0.681 0,852 0.851 0.851 0.851 0,851 1.052 1.051 1.051 1.050 1.050 1.688 1.687 1.686 1.685 1.684 2.028 2.026 2.024 2.023 2.021 2.434 2.431 2.429 2.426 2.423 2.990 2.985 2.980 2.976 2.971 3.333 3.326 3.319 3.313 3.307 3.582 3.574 3.566 3.558 3.551 36 37 37 38 39 2.712 2.708 2.704 38 39 40 40 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 2.678 2.660 2.648 2.639 2.632 2.109 0,679 0.679 0.678 0.678 0.677 2.937 2.915 2.899 2.887 2.878 3.261 3.232 3.211 3.195 3.183 3.496 3.460 3.435 3.416 3.402 50 2.403 50 2.099 2.093 2.088 2.084 2.390 2.381 2.374 2.368 60 60 70 70 80 80 90 1.987 90 1.660 1.646 1.645 3.174 3.098 3.090 100 0.677 0.675 0,674 0,845 0.842 0,842 1.042 1.037 1.290 1.282 1.282 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 3.390 100 3.300 1000 3.291 z 1000 1.036 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 12.706 4.303 3.182 2.776 2571 15.894 4.849 3.482 2.999 31.821 6.965 4.541 3.747 3.365 63.657 9.925 5.841 4.604 4.032 127.321 14.089 7.453 5.598 4.773 318.309 22.327 10.215 7.173 5.893 636.619 31.599 12.924 8,610 6.869 1 1.000 1.376 1.963 1.386 1.250 1.190 3.078 6.314 2.920 2.353 2.132 2.015 2 0,816 0.765 0.741 0.727 1.061 0.978 0.941 0.920 1.886 1.638 1.533 1.476 2 3 3 5 1.156 2.757 5 1.440 1.415 1.397 1.383 1.372 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 0.718 7 0.906 1.134 1.119 1.108 1.100 1.093 3.143 2.998 2.896 2.821 2.764 3.707 3.499 3.355 3.250 3.169 4.317 5.208 4.785 4.501 4.297 4.144 5.959 5.408 5.041 4.781 6. 0.711 8 0.706 0.703 0.700 0.896 0.889 0.883 0.879 4.029 3.833 3.690 3.581 8 9 10 4.587 10 0.697 0,695 0,694 0.692 0.691 0.876 0.873 0,870 0.868 1.363 1.356 1.350 1.345 1.341 2.201 2.179 2.160 2.145 2.131 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 2.947 3.497 3.428 3.372 3.326 3.286 4.025 3.930 11 1.088 1.796 4.437 11 12 13 1.083 1.079 1.076 1.782 1.771 1.761 1.753 4.318 4.221 12 13 3.852 3.787 3.733 14 4.140 14 15 0.866 1.074 4.073 15 1.337 1.333 1.330 1.328 1.325 1.746 1.740 1.734 1.729 1.725 2.120 2.110 2.101 2.093 2.086 2.583 2.567 2.552 2.539 2.528 3.252 3.222 3.197 3.174 3.153 0.690 16 17 0,865 0,863 0.862 0.861 0.860 1.071 1.069 1.067 1.066 1.064 2.235 2.224 2.214 2.205 2.197 2.921 2.898 2.878 2.861 2.845 3.686 3.646 4.015 3.965 16 17 0.689 0.688 0,688 0.687 18 3.610 3.922 3.883 3.850 18 3.579 3.552 19 19 20 20 0.859 0858 0.858 0,857 0.856 1.323 1.321 1.063 1.061 1.060 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 2.172 2.167 3.135 3.119 3.104 3.091 3.078 3.527 3.505 3.485 3.467 3.450 21 22 0.686 0.686 2.518 2.831 2.819 2,807 2.797 2.787 3.819 3.792 3.768 3.745 3.725 21 22 0.685 0.685 0.684 1.319 1.318 1.316 2.508 2.500 2.492 2.485 23 23 24 1.059 24 25 1.058 25 3.435 3.421 0856 0,855 0855 0.854 0.854 1.058 1.057 1.056 1.055 1.055 1.315 1.314 1.313 1.311 1.310 2.479 2.473 2.467 2.462 2.457 2.779 2.771 2.763 2.756 2.750 2.056 2.052 2.162 2.158 2.154 2.150 2.147 3.067 3.057 3.707 3.690 3.674 3.659 3.646 26 27 0,684 1.706 1.703 1.701 1.699 1.697 26 0.684 0.683 0.683 0.683 27 28 2.048 3.047 3.408 28 29 30 2.045 2.042 3.038 3.030 3.396 3.385 29 30 1.054 1.054 1.053 1.052 1.052 1.696 1.694 1.692 1.691 1.690 2.040 2.037 2.035 2.032 2.030 2.144 2.141 2.138 2.136 2.133 2.453 2.449 2.445 2.441 2.438 2.744 2.738 2.733 2.728 2.724 3.022 3.015 3.008 3.002 2.996 3.375 3.365 3.356 3.348 3.340 3.633 3.622 3.611 3.601 3.591 31 0.682 0,853 1.309 31 0.682 0.682 0.682 0.682 0.853 0,853 0.852 0.852 1.309 1.308 1.307 1.306 32 32 33 33 34 35 34 35 1.306 1.305 1.304 1.304 1.303 2.131 2.129 2.127 2.125 2.123 2.719 2.715 36 0.681 0.681 0.681 0.681 0.681 0,852 0.851 0.851 0.851 0,851 1.052 1.051 1.051 1.050 1.050 1.688 1.687 1.686 1.685 1.684 2.028 2.026 2.024 2.023 2.021 2.434 2.431 2.429 2.426 2.423 2.990 2.985 2.980 2.976 2.971 3.333 3.326 3.319 3.313 3.307 3.582 3.574 3.566 3.558 3.551 36 37 37 38 39 2.712 2.708 2.704 38 39 40 40 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 2.678 2.660 2.648 2.639 2.632 2.109 0,679 0.679 0.678 0.678 0.677 2.937 2.915 2.899 2.887 2.878 3.261 3.232 3.211 3.195 3.183 3.496 3.460 3.435 3.416 3.402 50 2.403 50 2.099 2.093 2.088 2.084 2.390 2.381 2.374 2.368 60 60 70 70 80 80 90 1.987 90 1.660 1.646 1.645 3.174 3.098 3.090 100 0.677 0.675 0,674 0,845 0.842 0,842 1.042 1.037 1.290 1.282 1.282 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 3.390 100 3.300 1000 3.291 z 1000 1.036 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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