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(a) If x= 106 and s = 9.8, compute the test statistic. t= (Round to three decimal places as needed.) (b) If the researcher decides 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.) (c) Draw a t-distribution that depicts the critical region(s). Which of the following graphs shows the critical region(s) in the t-distribution? OA. OB. Oc. (d) Will the researcher reject the null hypothesis? O A. The researcher will reject the null hypothesis since the test statistic is not between the critical values. O B. The researcher will reject the null hypothesis since the test statistic is between the critical values. O C. There is not sufficient evidence for the researcher to reject the null hypothesis since the test statistic is not between the critical values. O D. There is not sufficient evidence for the researcher to reject the null hypothesis since the test statistic is between the critical values.

(a) If x= 106 and s = 9.8, compute the test statistic. t= (Round to three decimal places as needed.) (b) If the researcher decides 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.) (c) Draw a t-distribution that depicts the critical region(s). Which of the following graphs shows the critical region(s) in the t-distribution? OA. OB. Oc. (d) Will the researcher reject the null hypothesis? O A. The researcher will reject the null hypothesis since the test statistic is not between the critical values. O B. The researcher will reject the null hypothesis since the test statistic is between the critical values. O C. There is not sufficient evidence for the researcher to reject the null hypothesis since the test statistic is not between the critical values. O D. There is not sufficient evidence for the researcher to reject the null hypothesis since the test statistic is between the critical values.

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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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 df 3.078 1.886 1.638 1.533 1.476 15.894 4.849 3.482 2.999 2.757 31.821 6.965 4.541 3.747 3.365 63.657 9.925 5.841 4.604 127.321 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 1 1.000 1.376 1.963 1.386 1.250 1.190 1.156 6.314 2.920 2.353 2.132 2.015 12.706 0.816 3 0.765 4 0.741 1.061 0,978 0.941 0.920 4.303 3.182 2.776 2571 5 0.727 4.032 6.869 5 0,718 0.711 8 0.906 0,896 0.889 0.883 0.879 1.134 1.119 1.108 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 5.959 5.408 5.041 4.781 4.587 6 6. 0.706 8 1.100 1.093 9 0.703 10 0,700 4.144 10 0.697 0.695 0.694 0.692 0.691 0.876 0.873 0,870 0.868 0.866 1.363 1.356 1.350 1.345 1.341 1.796 1.782 1.771 1.761 1.753 2.328 2.303 2.282 2.264 2.249 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 3.733 11 1.088 2.201 2.179 2.160 2.145 2.131 3.106 4.437 11 12 13 1.083 1.079 1.076 1.074 3.055 3.012 2.977 2.947 4.318 12 4.221 13 14 4.140 14 15 4.073 15 1.337 1.333 1.330 1.328 1.325 2.235 2.224 2.214 2.205 2.197 16 17 0.865 0.863 0.862 0.861 1.071 1.069 1.067 1.066 1.064 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 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 0.690 16 17 0.689 0.688 0.688 3.197 3.174 3.153 18 18 19 19 20 0.687 0.860 20 1.721 1.717 1.714 1.711 1.708 3.527 3.505 3.485 3.467 3.450 21 22 0.686 0.686 0.859 0.858 0.858 0,857 0,856 1.063 1.061 1.060 1.059 1.058 1.323 1.321 1.319 1.318 1.316 2.080 2.189 2.183 2.177 2.518 2508 2.500 2.492 2.485 2.831 2.819 2.807 2.797 2.787 3.135 3.119 3.104 3.091 3.078 3.819 3.792 3.768 3.745 3.725 21 22 2.074 2.069 2.064 2.060 23 0.685 0.685 0.684 23 2.172 2.167 24 24 25 25 0,856 0.855 0.855 0,854 0.854 1.315 1.314 1.313 1.311 1.310 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 3.707 3.690 3.674 3.659 3.646 26 0.684 1.058 1.057 1.056 1.055 1.055 2.056 2.052 2.048 2.045 2.042 3.435 3.421 3.408 3.396 3.385 26 27 0.684 27 0.683 0,683 0.683 28 28 29 30 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 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 2.744 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 31 0,682 31 0.682 0,682 0.682 0.682 32 32 33 33 34 35 2.441 3.601 3.591 34 35 2.438 2.990 2.985 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 2.434 2.431 2.429 2.426 2.423 3.333 3.326 3.319 3.313 3.307 3.582 3.574 36 0.681 0.681 0.681 0.681 0.681 0.852 1.052 0.851 1.051 0.851 1.051 0.851 1.050 1.688 1.687 1.686 1.685 1.684 2.719 2.715 36 37 37 38 39 2.712 2.980 3.566 38 39 2.708 2.704 2.976 2.971 3.558 3.551 40 0.851 1.050 40 0,849 0,848 0.847 0.846 0.846 1.047 1.045 1.044 1.043 1.042 3.261 3.232 3.211 3.195 3.183 2.009 2.937 2.915 2.899 3.496 3.460 3.435 1.676 2.109 2.403 2.390 2.381 2.374 50 0,679 1.299 2.678 50 0.679 0.678 0.678 0.677 60 1.296 1.671 2.000 2.099 2.660 60 2.093 2.088 70 1.294 1.292 1.291 1.667 2.648 2.639 2.632 70 1.994 1.990 1.664 1.662 2.887 2.878 3.416 3.402 80 80 90 1.987 2.084 2.368 90 1.290 1.282 1.282 1.660 1.646 1.645 1.984 1.962 1.960 2.626 2.581 2.576 2.871 2.813 2.807 3.174 3.098 3.090 100 0.677 0.675 0.674 0,845 0,842 0.842 1.042 1.037 2.081 2.056 2.054 2.364 2.330 2.326 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 1234
Transcribed Image Text: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 df 3.078 1.886 1.638 1.533 1.476 15.894 4.849 3.482 2.999 2.757 31.821 6.965 4.541 3.747 3.365 63.657 9.925 5.841 4.604 127.321 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 1 1.000 1.376 1.963 1.386 1.250 1.190 1.156 6.314 2.920 2.353 2.132 2.015 12.706 0.816 3 0.765 4 0.741 1.061 0,978 0.941 0.920 4.303 3.182 2.776 2571 5 0.727 4.032 6.869 5 0,718 0.711 8 0.906 0,896 0.889 0.883 0.879 1.134 1.119 1.108 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 5.959 5.408 5.041 4.781 4.587 6 6. 0.706 8 1.100 1.093 9 0.703 10 0,700 4.144 10 0.697 0.695 0.694 0.692 0.691 0.876 0.873 0,870 0.868 0.866 1.363 1.356 1.350 1.345 1.341 1.796 1.782 1.771 1.761 1.753 2.328 2.303 2.282 2.264 2.249 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 3.733 11 1.088 2.201 2.179 2.160 2.145 2.131 3.106 4.437 11 12 13 1.083 1.079 1.076 1.074 3.055 3.012 2.977 2.947 4.318 12 4.221 13 14 4.140 14 15 4.073 15 1.337 1.333 1.330 1.328 1.325 2.235 2.224 2.214 2.205 2.197 16 17 0.865 0.863 0.862 0.861 1.071 1.069 1.067 1.066 1.064 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 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 0.690 16 17 0.689 0.688 0.688 3.197 3.174 3.153 18 18 19 19 20 0.687 0.860 20 1.721 1.717 1.714 1.711 1.708 3.527 3.505 3.485 3.467 3.450 21 22 0.686 0.686 0.859 0.858 0.858 0,857 0,856 1.063 1.061 1.060 1.059 1.058 1.323 1.321 1.319 1.318 1.316 2.080 2.189 2.183 2.177 2.518 2508 2.500 2.492 2.485 2.831 2.819 2.807 2.797 2.787 3.135 3.119 3.104 3.091 3.078 3.819 3.792 3.768 3.745 3.725 21 22 2.074 2.069 2.064 2.060 23 0.685 0.685 0.684 23 2.172 2.167 24 24 25 25 0,856 0.855 0.855 0,854 0.854 1.315 1.314 1.313 1.311 1.310 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 3.707 3.690 3.674 3.659 3.646 26 0.684 1.058 1.057 1.056 1.055 1.055 2.056 2.052 2.048 2.045 2.042 3.435 3.421 3.408 3.396 3.385 26 27 0.684 27 0.683 0,683 0.683 28 28 29 30 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 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 2.744 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 31 0,682 31 0.682 0,682 0.682 0.682 32 32 33 33 34 35 2.441 3.601 3.591 34 35 2.438 2.990 2.985 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 2.434 2.431 2.429 2.426 2.423 3.333 3.326 3.319 3.313 3.307 3.582 3.574 36 0.681 0.681 0.681 0.681 0.681 0.852 1.052 0.851 1.051 0.851 1.051 0.851 1.050 1.688 1.687 1.686 1.685 1.684 2.719 2.715 36 37 37 38 39 2.712 2.980 3.566 38 39 2.708 2.704 2.976 2.971 3.558 3.551 40 0.851 1.050 40 0,849 0,848 0.847 0.846 0.846 1.047 1.045 1.044 1.043 1.042 3.261 3.232 3.211 3.195 3.183 2.009 2.937 2.915 2.899 3.496 3.460 3.435 1.676 2.109 2.403 2.390 2.381 2.374 50 0,679 1.299 2.678 50 0.679 0.678 0.678 0.677 60 1.296 1.671 2.000 2.099 2.660 60 2.093 2.088 70 1.294 1.292 1.291 1.667 2.648 2.639 2.632 70 1.994 1.990 1.664 1.662 2.887 2.878 3.416 3.402 80 80 90 1.987 2.084 2.368 90 1.290 1.282 1.282 1.660 1.646 1.645 1.984 1.962 1.960 2.626 2.581 2.576 2.871 2.813 2.807 3.174 3.098 3.090 100 0.677 0.675 0.674 0,845 0,842 0.842 1.042 1.037 2.081 2.056 2.054 2.364 2.330 2.326 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 1234
To test Ho: µ= 100 versus H: µ# 100, a simple random sample size of n = 23 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 = 106 and s = 9.8, compute the test statistic. t%3D (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.) (c) Draw a t-distribution that depicts the critical region(s). Which of the following graphs shows the critical region(s) in the t-distribution? A. О В. OC. Q (d) Will the researcher reject the null hypothesis? A. The researcher will reject the null hypothesis since the test statistic is not between the critical values. B. The researcher will reject the null hypothesis since the test statistic is between the critical values. C. There is not sufficient evidence for the researcher to reject the null hypothesis since the test statistic is not between the critical values. D. There is not sufficient evidence for the researcher to reject the null hypothesis since the test statistic is between the critical values.
Transcribed Image Text:To test Ho: µ= 100 versus H: µ# 100, a simple random sample size of n = 23 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 = 106 and s = 9.8, compute the test statistic. t%3D (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.) (c) Draw a t-distribution that depicts the critical region(s). Which of the following graphs shows the critical region(s) in the t-distribution? A. О В. OC. Q (d) Will the researcher reject the null hypothesis? A. The researcher will reject the null hypothesis since the test statistic is not between the critical values. B. The researcher will reject the null hypothesis since the test statistic is between the critical values. C. There is not sufficient evidence for the researcher to reject the null hypothesis since the test statistic is not between the critical values. D. There is not sufficient evidence for the researcher to reject the null hypothesis since the test statistic is between the critical values.
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