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E Click here to view the t-Distribution Area in Right Tail. ) If x= 18.4 ands=4.4, compute the test statistic. E (Round to two decimal places as needed.) ) Draw a t-distribution with the area that represents the P-value shaded. Which of the following graphs shows the correct shaded region? OA. OB. OC. Q :) Approximate the P-value. Choose the correct range for the P-value below. DA. 0.15

E Click here to view the t-Distribution Area in Right Tail. ) If x= 18.4 ands=4.4, compute the test statistic. E (Round to two decimal places as needed.) ) Draw a t-distribution with the area that represents the P-value shaded. Which of the following graphs shows the correct shaded region? OA. OB. OC. Q :) Approximate the P-value. Choose the correct range for the P-value below. DA. 0.15

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= 20 versus H,: µ< 20, a simple random sample of size n = 17 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 = 18.4 and s = 4.4, compute the test statistic. t= (Round to two decimal places as needed.) (b) Draw a t-distribution with the area that represents the P-value shaded. Which of the following graphs shows the correct shaded region? O A. Ов. (c) Approximate the P-value. Choose the correct range for the P-value below. O A. 0.15 <P-value < 0.20 O B. 0.10 <P-value < 0.15 O C. 0.05 <P-value < 0.10 O D. 0.20 <P-value < 0.25 (d) If the researcher decides to test this hypothesis at the a = 0.05 level of significance, will the researcher reject the null hypothesis? O A. The researcher will reject the null hypothesis since the P-value is not less than a. B. The researcher will reject the null hypothesis since the P-value is less than a. O C. The researcher will not reject the null hypothesis since the P-value is not less than a. D. The researcher will not reject the null hypothesis since the P-value is less than a.
Transcribed Image Text:To test Ho: µ= 20 versus H,: µ< 20, a simple random sample of size n = 17 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 = 18.4 and s = 4.4, compute the test statistic. t= (Round to two decimal places as needed.) (b) Draw a t-distribution with the area that represents the P-value shaded. Which of the following graphs shows the correct shaded region? O A. Ов. (c) Approximate the P-value. Choose the correct range for the P-value below. O A. 0.15 <P-value < 0.20 O B. 0.10 <P-value < 0.15 O C. 0.05 <P-value < 0.10 O D. 0.20 <P-value < 0.25 (d) If the researcher decides to test this hypothesis at the a = 0.05 level of significance, will the researcher reject the null hypothesis? O A. The researcher will reject the null hypothesis since the P-value is not less than a. B. The researcher will reject the null hypothesis since the P-value is less than a. O C. The researcher will not reject the null hypothesis since the P-value is not less than a. D. The researcher will not reject the null hypothesis since the P-value is less than a.
1 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 12.706 15.894 63.657 127.321 14.089 7.453 5.598 318.309 22.327 10.215 7.173 5.893 1 1.000 1.376 1.963 3.078 6.314 31.821 636.619 1 6.965 4.541 3.747 9.925 5.841 4.604 0.816 1.061 31.599 1.386 1.250 1.190 1.156 1.886 2.920 2.353 2.132 4.303 4.849 0.765 1.638 1.533 3.482 2.999 2.757 3 0.978 0.941 0.920 3.182 2.776 2.571 12.924 8.610 3 4 0.741 0.727 1.476 2.015 3.365 4.032 4.773 6.869 0.718 0.711 8 3.707 3.499 3.355 3.250 5.208 4.785 4.501 0.906 1.134 1.440 1.943 2.447 5.959 2.612 2.517 2.449 6. 3.143 4.317 0.896 0.889 1.119 1.108 2.365 2.306 1.415 1.397 1.383 1.372 1.895 1.860 2.998 2.896 4.029 3.833 0.706 0.703 0.700 5.408 5.041 4.781 4.587 8 2.262 2.228 2.821 2.764 3.690 3.581 0.883 1.100 1.833 2.398 2.359 4.297 10 0.879 1.093 1.812 3.169 4.144 10 0.697 0.695 0.694 0.692 0.691 0.876 0.873 0.870 0.868 0.866 1.796 1.782 1.771 1.761 1.753 2.201 2.179 2.160 2.145 2.328 2.303 2.282 2.718 2.681 2.650 3.106 3.055 3.012 4.025 3.930 3.852 3.497 4.437 4.318 4.221 11 1.088 1.083 1.079 1.076 1.363 1.356 1.350 1.345 1.341 11 12 13 3.428 3.372 3.326 12 13 2.624 2.602 2.977 2.947 2.264 3.787 3.733 14 4.140 14 15 1.074 2.131 2.249 3.286 4.073 15 0.865 0.863 0.862 0.861 16 17 0.690 0.689 1.071 1.069 1.337 1.333 1.330 1.746 1.740 1.734 1.729 1.725 2.120 2.110 2.101 2.235 2.224 2.214 2.205 2.197 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 4.015 3.965 3.922 16 17 3.197 3.174 18 0.688 1.067 18 2.093 2.086 3.579 3.552 3.883 3.850 19 0.688 1.066 1.328 19 20 0.687 0.860 1.064 1.325 3.153 20 0.859 0.858 0.858 1.323 1.321 1.319 2.080 2.074 2.069 2.064 2.060 3.135 3.119 3.104 3.091 3.078 21 22 0.686 0.686 0.685 0.685 0.684 3.527 3.505 3.819 3.792 3.768 1.063 1.061 1.721 1.717 1.714 1.711 1.708 2.189 2.183 2.177 2.518 2.508 2.831 2.819 2.807 2.797 2.787 21 22 2.500 2.492 2.485 23 1.060 3.485 3.467 3.450 23 0.857 0.856 1.059 1.058 24 1.318 2.172 3.745 24 25 1.316 2.167 3.725 25 0.856 1.315 2.056 2.479 3.067 3.435 3.421 3.408 26 0.684 1.058 1.706 2.162 2.158 2.779 3.707 26 0.855 0.855 0.854 1.057 1.056 1.703 1.701 1.699 1.607. 2.052 2.048 2.045 2.771 2.763 2.756 2750. 3.057 3.047 3.038 27 0.684 1.314 2.473 3.690 27 0.683 0.683 1.313 1.311 1 210. 2.467 2.462 2457. 28 2.154 2.150 2 147. 3.674 28 3.659 2646. 29 1.055 1.055. 3.396 29 20 0682 2012 2020 2205 20
Transcribed Image Text:1 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 12.706 15.894 63.657 127.321 14.089 7.453 5.598 318.309 22.327 10.215 7.173 5.893 1 1.000 1.376 1.963 3.078 6.314 31.821 636.619 1 6.965 4.541 3.747 9.925 5.841 4.604 0.816 1.061 31.599 1.386 1.250 1.190 1.156 1.886 2.920 2.353 2.132 4.303 4.849 0.765 1.638 1.533 3.482 2.999 2.757 3 0.978 0.941 0.920 3.182 2.776 2.571 12.924 8.610 3 4 0.741 0.727 1.476 2.015 3.365 4.032 4.773 6.869 0.718 0.711 8 3.707 3.499 3.355 3.250 5.208 4.785 4.501 0.906 1.134 1.440 1.943 2.447 5.959 2.612 2.517 2.449 6. 3.143 4.317 0.896 0.889 1.119 1.108 2.365 2.306 1.415 1.397 1.383 1.372 1.895 1.860 2.998 2.896 4.029 3.833 0.706 0.703 0.700 5.408 5.041 4.781 4.587 8 2.262 2.228 2.821 2.764 3.690 3.581 0.883 1.100 1.833 2.398 2.359 4.297 10 0.879 1.093 1.812 3.169 4.144 10 0.697 0.695 0.694 0.692 0.691 0.876 0.873 0.870 0.868 0.866 1.796 1.782 1.771 1.761 1.753 2.201 2.179 2.160 2.145 2.328 2.303 2.282 2.718 2.681 2.650 3.106 3.055 3.012 4.025 3.930 3.852 3.497 4.437 4.318 4.221 11 1.088 1.083 1.079 1.076 1.363 1.356 1.350 1.345 1.341 11 12 13 3.428 3.372 3.326 12 13 2.624 2.602 2.977 2.947 2.264 3.787 3.733 14 4.140 14 15 1.074 2.131 2.249 3.286 4.073 15 0.865 0.863 0.862 0.861 16 17 0.690 0.689 1.071 1.069 1.337 1.333 1.330 1.746 1.740 1.734 1.729 1.725 2.120 2.110 2.101 2.235 2.224 2.214 2.205 2.197 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 4.015 3.965 3.922 16 17 3.197 3.174 18 0.688 1.067 18 2.093 2.086 3.579 3.552 3.883 3.850 19 0.688 1.066 1.328 19 20 0.687 0.860 1.064 1.325 3.153 20 0.859 0.858 0.858 1.323 1.321 1.319 2.080 2.074 2.069 2.064 2.060 3.135 3.119 3.104 3.091 3.078 21 22 0.686 0.686 0.685 0.685 0.684 3.527 3.505 3.819 3.792 3.768 1.063 1.061 1.721 1.717 1.714 1.711 1.708 2.189 2.183 2.177 2.518 2.508 2.831 2.819 2.807 2.797 2.787 21 22 2.500 2.492 2.485 23 1.060 3.485 3.467 3.450 23 0.857 0.856 1.059 1.058 24 1.318 2.172 3.745 24 25 1.316 2.167 3.725 25 0.856 1.315 2.056 2.479 3.067 3.435 3.421 3.408 26 0.684 1.058 1.706 2.162 2.158 2.779 3.707 26 0.855 0.855 0.854 1.057 1.056 1.703 1.701 1.699 1.607. 2.052 2.048 2.045 2.771 2.763 2.756 2750. 3.057 3.047 3.038 27 0.684 1.314 2.473 3.690 27 0.683 0.683 1.313 1.311 1 210. 2.467 2.462 2457. 28 2.154 2.150 2 147. 3.674 28 3.659 2646. 29 1.055 1.055. 3.396 29 20 0682 2012 2020 2205 20
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