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To test Ho: µ = 100 versus H,: µ# 100, a simple random sample size of n = 24 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 = 104.6 and s = 8.5, compute the test statistic. t= 2.651 (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: µ = 100 versus H,: µ# 100, a simple random sample size of n = 24 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 = 104.6 and s = 8.5, compute the test statistic. t= 2.651 (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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To test Ho: µ = 100 versus H,: µ# 100, a simple random sample size of n = 24 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 = 104.6 and s = 8.5, compute the test statistic. t = 2.651 (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,: µ# 100, a simple random sample size of n = 24 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 = 104.6 and s = 8.5, compute the test statistic. t = 2.651 (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 Area in Right Tail 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 1.376 1.061 0.978 0.941 0.920 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 2.776 2.571 15.894 31.821 1.963 1.386 1.250 1.190 1.156 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 0.816 3 4.849 3.482 2.999 6.965 4.541 3.747 3.365 2 3 0.765 0.741 0.727 5 2.757 0.718 0.711 0.706 0.703 0.700 1.134 1.119 1.108 1.100 1.093 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 3.143 2.998 2.896 2.821 2.764 3.707 3.499 3.355 3.250 3.169 4.317 4.029 3.833 3.690 3.581 5.208 4.785 4.501 4.297 4.144 5.959 5.408 5.041 4.781 4.587 6. 0.906 6. 0.896 0.889 0,883 8. 10 0.879 10 0.876 0.873 0.870 1.363 1.356 1.350 1.345 1.341 2.328 2.303 2.282 3.106 1.796 1.782 1.771 1.761 1.753 2.201 2.179 2.160 2.718 2.681 2.650 2.624 2.602 3.497 3.428 3.372 3.326 3.286 4.025 3.930 3.852 3.787 4.437 4.318 4.221 4.140 4.073 11 0.697 1.088 12 13 0.695 0.694 11 12 13 1.083 1.079 1.076 1.074 3.055 0.868 0,866 2.145 2.131 3.012 2.977 2.947 14 0.692 0.691 2.264 2.249 14 15 3.733 15 1.746 1.740 1.337 1.333 1.330 1.328 1.325 2.235 2.224 2.214 2.205 2.197 0,865 0,863 1.071 1.069 2.120 2.110 2.583 2.567 2.552 2.539 2.528 2.921 2.898 2.878 2.861 2.845 3.252 3.222 3.686 3.646 3.610 3.579 3.552 4.015 3.965 3.922 3.883 3.850 16 17 0,690 0.689 16 17 1.067 1.066 3.197 3.174 3.153 18 0.688 0,862 0,861 0.860 1.734 1.729 1.725 2.101 2.093 2.086 18 19 0.688 19 20 0.687 1.064 20 0.686 0,686 0.685 0.685 0.684 1.063 1.061 1.060 1.059 1.058 1.323 1.321 1.319 1.318 1.316 2518 2.508 2.500 2.492 2.485 2.831 2.819 2.807 2.797 2.787 3.527 3.505 3.485 3.467 3.450 3.819 3.792 3.768 3.745 3.725 21 22 23 0.859 0.858 1.721 1.717 2.080 2.074 2.069 2.189 2.183 2.177 2.172 2.167 3.135 3.119 3.104 3.091 3.078 21 22 0.858 0,857 0.856 1.714 1.711 1.708 23 2.064 2.060 24 24 25 25 0.684 0,684 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 1.699 1.697 2.162 2.158 2.154 2.150 2.147 2.479 2.473 2.467 2.462 2.457 2.779 2.771 2.763 2.756 2.750 3.067 3.057 3.047 3.038 3.030 3.435 3.421 3.408 3.396 3.385 3.707 3.690 3.674 3.659 3.646 26 27 1.315 1.314 1.313 1.311 1.310 2.056 2.052 2.048 2.045 2.042 26 27 28 29 30 0,683 0.683 28 29 30 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 2.144 2.141 2.138 2.136 2.133 2.453 2.449 2.445 2.441 2.438 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 0,682 0.682 1.696 2.040 2.037 2.035 2.032 2.030 2.744 2.738 2.733 2.728 2.724 31 31 32 33 1.694 32 1.692 1.691 1.690 33 34 35 0.682 r your 34 35 0.682 0.682 arts emainir 0.852 0.851 0.851 0,851 0.851 1.306 1.305 1.304 1.304 1.303 2.028 2.026 2.024 2.023 2.021 2.131 2.129 2.127 2.125 2.123 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 3.582 3.574 3.566 3.558 3.551 36 37 0,681 1.052 1.051 1.051 1.050 1.050 1.688 2.434 36 37 1.687 1.686 1.685 1.684 2.431 2.429 2.426 2.423 0.681 38 39 0,681 0.681 0.681 38 39 40 40 1.299 1.296 1.294 1.292 1.291 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 0,679 1.047 1.676 1.671 1.667 1.664 1.662 2.109 2.099 2.093 2.088 2.084 2.403 3.261 3.232 3.211 3.195 3.183 3.496 3.460 3.435 3.416 3.402 50 0,849 50 0,848 0,847 0.846 0,846 60 0.679 0.678 0.678 1.045 2.390 60 2.381 2.374 2.368 70 1.044 1.043 1.042 70 80 80 90 0.677 90 1.984 1.962 1.960 2.871 2.813 2.807 100 0.677 0,845 1.042 1.037 1.036 1.290 1.660 2.081 2.364 2.626 3.174 3.390 100 0.675 0.674 1.282 1.282 2.056 2.054 2.330 2.326 2.581 2.576 3.098 3.090 3.300 1000 3.291 z 1000 0,842 0,842 1.646 1.645 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 Area in Right Tail 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 1.376 1.061 0.978 0.941 0.920 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 2.776 2.571 15.894 31.821 1.963 1.386 1.250 1.190 1.156 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 0.816 3 4.849 3.482 2.999 6.965 4.541 3.747 3.365 2 3 0.765 0.741 0.727 5 2.757 0.718 0.711 0.706 0.703 0.700 1.134 1.119 1.108 1.100 1.093 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 3.143 2.998 2.896 2.821 2.764 3.707 3.499 3.355 3.250 3.169 4.317 4.029 3.833 3.690 3.581 5.208 4.785 4.501 4.297 4.144 5.959 5.408 5.041 4.781 4.587 6. 0.906 6. 0.896 0.889 0,883 8. 10 0.879 10 0.876 0.873 0.870 1.363 1.356 1.350 1.345 1.341 2.328 2.303 2.282 3.106 1.796 1.782 1.771 1.761 1.753 2.201 2.179 2.160 2.718 2.681 2.650 2.624 2.602 3.497 3.428 3.372 3.326 3.286 4.025 3.930 3.852 3.787 4.437 4.318 4.221 4.140 4.073 11 0.697 1.088 12 13 0.695 0.694 11 12 13 1.083 1.079 1.076 1.074 3.055 0.868 0,866 2.145 2.131 3.012 2.977 2.947 14 0.692 0.691 2.264 2.249 14 15 3.733 15 1.746 1.740 1.337 1.333 1.330 1.328 1.325 2.235 2.224 2.214 2.205 2.197 0,865 0,863 1.071 1.069 2.120 2.110 2.583 2.567 2.552 2.539 2.528 2.921 2.898 2.878 2.861 2.845 3.252 3.222 3.686 3.646 3.610 3.579 3.552 4.015 3.965 3.922 3.883 3.850 16 17 0,690 0.689 16 17 1.067 1.066 3.197 3.174 3.153 18 0.688 0,862 0,861 0.860 1.734 1.729 1.725 2.101 2.093 2.086 18 19 0.688 19 20 0.687 1.064 20 0.686 0,686 0.685 0.685 0.684 1.063 1.061 1.060 1.059 1.058 1.323 1.321 1.319 1.318 1.316 2518 2.508 2.500 2.492 2.485 2.831 2.819 2.807 2.797 2.787 3.527 3.505 3.485 3.467 3.450 3.819 3.792 3.768 3.745 3.725 21 22 23 0.859 0.858 1.721 1.717 2.080 2.074 2.069 2.189 2.183 2.177 2.172 2.167 3.135 3.119 3.104 3.091 3.078 21 22 0.858 0,857 0.856 1.714 1.711 1.708 23 2.064 2.060 24 24 25 25 0.684 0,684 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 1.699 1.697 2.162 2.158 2.154 2.150 2.147 2.479 2.473 2.467 2.462 2.457 2.779 2.771 2.763 2.756 2.750 3.067 3.057 3.047 3.038 3.030 3.435 3.421 3.408 3.396 3.385 3.707 3.690 3.674 3.659 3.646 26 27 1.315 1.314 1.313 1.311 1.310 2.056 2.052 2.048 2.045 2.042 26 27 28 29 30 0,683 0.683 28 29 30 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 2.144 2.141 2.138 2.136 2.133 2.453 2.449 2.445 2.441 2.438 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 0,682 0.682 1.696 2.040 2.037 2.035 2.032 2.030 2.744 2.738 2.733 2.728 2.724 31 31 32 33 1.694 32 1.692 1.691 1.690 33 34 35 0.682 r your 34 35 0.682 0.682 arts emainir 0.852 0.851 0.851 0,851 0.851 1.306 1.305 1.304 1.304 1.303 2.028 2.026 2.024 2.023 2.021 2.131 2.129 2.127 2.125 2.123 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 3.582 3.574 3.566 3.558 3.551 36 37 0,681 1.052 1.051 1.051 1.050 1.050 1.688 2.434 36 37 1.687 1.686 1.685 1.684 2.431 2.429 2.426 2.423 0.681 38 39 0,681 0.681 0.681 38 39 40 40 1.299 1.296 1.294 1.292 1.291 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 0,679 1.047 1.676 1.671 1.667 1.664 1.662 2.109 2.099 2.093 2.088 2.084 2.403 3.261 3.232 3.211 3.195 3.183 3.496 3.460 3.435 3.416 3.402 50 0,849 50 0,848 0,847 0.846 0,846 60 0.679 0.678 0.678 1.045 2.390 60 2.381 2.374 2.368 70 1.044 1.043 1.042 70 80 80 90 0.677 90 1.984 1.962 1.960 2.871 2.813 2.807 100 0.677 0,845 1.042 1.037 1.036 1.290 1.660 2.081 2.364 2.626 3.174 3.390 100 0.675 0.674 1.282 1.282 2.056 2.054 2.330 2.326 2.581 2.576 3.098 3.090 3.300 1000 3.291 z 1000 0,842 0,842 1.646 1.645 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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