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E Click here to view the t-Distribution Area in Right Tail. (a) If x = 105.1 and s=8.3, compute the test statistic. t= 2.882 (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? O A. O B. c. (d) Will the researcher reject the null hypothesis? O A. There is not sufficient evidence for the researcher to 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 between the critical values. O D. The researcher will reject the null hypothesis since the test statistic is not between the critical values.

E Click here to view the t-Distribution Area in Right Tail. (a) If x = 105.1 and s=8.3, compute the test statistic. t= 2.882 (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? O A. O B. c. (d) Will the researcher reject the null hypothesis? O A. There is not sufficient evidence for the researcher to 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 between the critical values. O D. The researcher will reject the null hypothesis since the test statistic is not 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 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 3.078 1.886 1.638 1.533 1.476 15.894 4.849 3.482 2.999 2.757 318.309 22.327 10.215 7.173 5.893 1.963 6.314 2.920 2.353 31.821 6.965 4.541 3.747 3.365 63.657 9.925 5,841 4.604 4.032 1 1.000 1.376 12.706 127.321 636.619 1 0.816 0,765 0.741 0.727 1.061 0.978 0.941 0.920 4.303 3.182 2.776 2.571 31.599 12.924 8.610 6.869 1.386 14.089 2 7.453 5.598 4.773 3 1.250 1.190 3 2.132 2.015 1.156 0.718 0.711 8 1.440 1.415 1.397 1.383 1.372 3.707 3.499 3.355 3.250 3.169 5.959 5.408 5.041 4.781 4.587 0.906 1.134 1.943 4.317 2.447 2.365 2.306 2.262 2.228 2.612 2.517 2.449 3.143 2.998 2.896 5.208 4.785 4.501 6. 6 0,896 0,889 1.119 1.108 1.895 1.860 4.029 3.833 0.706 0.703 0.700 0.883 0.879 1.100 1.093 1.833 1.812 2.398 2.359 2.821 2.764 3.690 3.581 4.297 9 10 4.144 10 3.106 3.055 3.012 2.977 2.947 4.437 4.318 4,221 4.140 4.073 11 0.697 0.876 1.088 1.083 1.079 1.076 1.074 1.363 1.796 2.201 2.179 2.160 2.145 2.131 2.328 2.303 2.282 2.264 2.249 2.718 3.497 3.428 3.372 3.326 3.286 4.025 11 0.695 0,694 0.692 0.691 0,873 0.870 1.356 1.350 1.345 1.341 1.782 1.771 1.761 1.753 2.681 2.650 2.624 2.602 3.930 3.852 3.787 3.733 12 13 12 13 0.868 0.866 14 14 15 15 1.071 1.069 1.067 1.066 1.064 1.337 1.333 1.330 1.328 1.325 1.746 1.740 1.734 1.729 1.725 2.921 2.898 2.878 2.861 2.845 0.690 0.689 0.865 0.863 0.862 0,861 2.120 2.110 2.101 2.093 2.086 2.235 2.224 2.214 2.205 2.197 2.583 2.567 2.552 2.539 2.528 3.252 3.222 3.197 3.174 3.153 3.686 3.646 3.610 3.579 3.552 4.015 3.965 3.922 3.883 3.850 16 17 16 17 0.688 0.688 0.687 18 18 19 19 20 0.860 20 0.686 0.686 0.685 0,685 0.684 1.323 1.321 2.080 2.074 2.069 2.064 2.060 2.189 2.183 2.177 2.172 2.167 2.831 2.819 2.807 2.797 2.787 21 22 0.859 0.858 0,858 0,857 0,856 1.063 1.061 1.060 1.059 1.058 1.721 1.717 1.714 1.711 1.708 2518 2.508 2.500 2.492 2.485 3.135 3.119 3.104 3.091 3.078 3.527 3.505 3.485 3.467 3.450 3.819 3.792 3.768 3.745 3.725 21 22 1.319 1.318 1.316 23 23 24 24 25 25 1.058 1.057 0.684 0.684 0.683 0,683 0.683 0.856 0855 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 2.056 2.052 2.048 2.045 2.042 2.479 2.473 2.467 2.462 2.457 2.779 2.771 2.763 2.756 2.750 3.435 3.421 3.408 3.396 3.385 3.707 3.690 3.674 3.659 3.646 2.162 2.158 3.067 3.057 3.047 3.038 3.030 26 26 27 27 28 1.056 1.055 1.055 2.154 28 29 30 2.150 2.147 29 30 1.054 1.054 1.053 1.052 1.052 1.309 0.682 0.682 0.682 0.682 0.682 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 0.853 1.696 31 32 0.853 0.853 0.852 0.852 1.309 1.308 1.307 1.306 1.694 1.692 1.691 1.690 32 33 33 34 35 34 35 1.306 1.305 1.304 1.304 1.303 2.719 2.715 2.712 2.708 36 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 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 2.990 2.985 2.980 2.976 2.971 3.333 3.326 3.319 3.313 3.582 3.574 36 37 0.681 37 38 39 0.681 0.681 1.686 1.685 1.684 3.566 3.558 3.551 38 39 40 0.681 2.704 3.307 40 0,849 0.848 0,847 0.846 0.846 1.299 1.296 1.294 1.292 1.291 2.009 2.000 1.994 1.990 1.987 2.109 2.099 2.093 2.088 2.084 2.678 2.660 2.648 2.639 2.632 2.937 2.915 2.899 2,887 3.261 3.232 3.211 3.195 3.183 3.496 3.460 3.435 3.416 3.402 50 0.679 1.047 1.676 2.403 50 1.671 1.667 1.664 1.662 2.390 2.381 2.374 60 0.679 0.678 0.678 1.045 1.044 1.043 1.042 60 70 70 80 80 90 0.677 2.368 2.878 90 0.677 0.675 0.674 0,845 0.842 0.842 1.290 1.282 1.282 1.660 1.646 1.645 1.984 1.962 1.960 2.081 2.056 2.054 2.626 2.581 2.576 2.871 2.813 2.807 3.174 3.098 3.090 3.390 3.300 1000 3.291 z 100 1.042 1.037 1.036 2.364 2.330 2.326 100 1000 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 3.078 1.886 1.638 1.533 1.476 15.894 4.849 3.482 2.999 2.757 318.309 22.327 10.215 7.173 5.893 1.963 6.314 2.920 2.353 31.821 6.965 4.541 3.747 3.365 63.657 9.925 5,841 4.604 4.032 1 1.000 1.376 12.706 127.321 636.619 1 0.816 0,765 0.741 0.727 1.061 0.978 0.941 0.920 4.303 3.182 2.776 2.571 31.599 12.924 8.610 6.869 1.386 14.089 2 7.453 5.598 4.773 3 1.250 1.190 3 2.132 2.015 1.156 0.718 0.711 8 1.440 1.415 1.397 1.383 1.372 3.707 3.499 3.355 3.250 3.169 5.959 5.408 5.041 4.781 4.587 0.906 1.134 1.943 4.317 2.447 2.365 2.306 2.262 2.228 2.612 2.517 2.449 3.143 2.998 2.896 5.208 4.785 4.501 6. 6 0,896 0,889 1.119 1.108 1.895 1.860 4.029 3.833 0.706 0.703 0.700 0.883 0.879 1.100 1.093 1.833 1.812 2.398 2.359 2.821 2.764 3.690 3.581 4.297 9 10 4.144 10 3.106 3.055 3.012 2.977 2.947 4.437 4.318 4,221 4.140 4.073 11 0.697 0.876 1.088 1.083 1.079 1.076 1.074 1.363 1.796 2.201 2.179 2.160 2.145 2.131 2.328 2.303 2.282 2.264 2.249 2.718 3.497 3.428 3.372 3.326 3.286 4.025 11 0.695 0,694 0.692 0.691 0,873 0.870 1.356 1.350 1.345 1.341 1.782 1.771 1.761 1.753 2.681 2.650 2.624 2.602 3.930 3.852 3.787 3.733 12 13 12 13 0.868 0.866 14 14 15 15 1.071 1.069 1.067 1.066 1.064 1.337 1.333 1.330 1.328 1.325 1.746 1.740 1.734 1.729 1.725 2.921 2.898 2.878 2.861 2.845 0.690 0.689 0.865 0.863 0.862 0,861 2.120 2.110 2.101 2.093 2.086 2.235 2.224 2.214 2.205 2.197 2.583 2.567 2.552 2.539 2.528 3.252 3.222 3.197 3.174 3.153 3.686 3.646 3.610 3.579 3.552 4.015 3.965 3.922 3.883 3.850 16 17 16 17 0.688 0.688 0.687 18 18 19 19 20 0.860 20 0.686 0.686 0.685 0,685 0.684 1.323 1.321 2.080 2.074 2.069 2.064 2.060 2.189 2.183 2.177 2.172 2.167 2.831 2.819 2.807 2.797 2.787 21 22 0.859 0.858 0,858 0,857 0,856 1.063 1.061 1.060 1.059 1.058 1.721 1.717 1.714 1.711 1.708 2518 2.508 2.500 2.492 2.485 3.135 3.119 3.104 3.091 3.078 3.527 3.505 3.485 3.467 3.450 3.819 3.792 3.768 3.745 3.725 21 22 1.319 1.318 1.316 23 23 24 24 25 25 1.058 1.057 0.684 0.684 0.683 0,683 0.683 0.856 0855 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 2.056 2.052 2.048 2.045 2.042 2.479 2.473 2.467 2.462 2.457 2.779 2.771 2.763 2.756 2.750 3.435 3.421 3.408 3.396 3.385 3.707 3.690 3.674 3.659 3.646 2.162 2.158 3.067 3.057 3.047 3.038 3.030 26 26 27 27 28 1.056 1.055 1.055 2.154 28 29 30 2.150 2.147 29 30 1.054 1.054 1.053 1.052 1.052 1.309 0.682 0.682 0.682 0.682 0.682 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 0.853 1.696 31 32 0.853 0.853 0.852 0.852 1.309 1.308 1.307 1.306 1.694 1.692 1.691 1.690 32 33 33 34 35 34 35 1.306 1.305 1.304 1.304 1.303 2.719 2.715 2.712 2.708 36 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 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 2.990 2.985 2.980 2.976 2.971 3.333 3.326 3.319 3.313 3.582 3.574 36 37 0.681 37 38 39 0.681 0.681 1.686 1.685 1.684 3.566 3.558 3.551 38 39 40 0.681 2.704 3.307 40 0,849 0.848 0,847 0.846 0.846 1.299 1.296 1.294 1.292 1.291 2.009 2.000 1.994 1.990 1.987 2.109 2.099 2.093 2.088 2.084 2.678 2.660 2.648 2.639 2.632 2.937 2.915 2.899 2,887 3.261 3.232 3.211 3.195 3.183 3.496 3.460 3.435 3.416 3.402 50 0.679 1.047 1.676 2.403 50 1.671 1.667 1.664 1.662 2.390 2.381 2.374 60 0.679 0.678 0.678 1.045 1.044 1.043 1.042 60 70 70 80 80 90 0.677 2.368 2.878 90 0.677 0.675 0.674 0,845 0.842 0.842 1.290 1.282 1.282 1.660 1.646 1.645 1.984 1.962 1.960 2.081 2.056 2.054 2.626 2.581 2.576 2.871 2.813 2.807 3.174 3.098 3.090 3.390 3.300 1000 3.291 z 100 1.042 1.037 1.036 2.364 2.330 2.326 100 1000 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
To test Ho: µ= 100 versus H1: 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). Click here to view the t-Distribution Area in Right Tail. ..... (a) If x = 105.1 and s = 8.3, compute the test statistic. t = 2.882 (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. В. C. (d) Will the researcher reject the null hypothesis? O A. There is not sufficient evidence for the researcher to 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 between the critical values. D. The researcher will reject the null hypothesis since the test statistic is not between the critical values.
Transcribed Image Text:To test Ho: µ= 100 versus H1: 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). Click here to view the t-Distribution Area in Right Tail. ..... (a) If x = 105.1 and s = 8.3, compute the test statistic. t = 2.882 (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. В. C. (d) Will the researcher reject the null hypothesis? O A. There is not sufficient evidence for the researcher to 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 between the critical values. D. The researcher will reject the null hypothesis since the test statistic is not between the critical values.
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