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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 = 105.8 and s=8.9, compute the test statistic. t3= (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. OB. Oc. Q (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 between the critical values. O B. The researcher will reject the null hypothesis since the test statistic is between the critical values. OC. The researcher will 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 reiect the pull hynothesis since the test statistic is not between the critical values

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 = 105.8 and s=8.9, compute the test statistic. t3= (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. OB. Oc. Q (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 between the critical values. O B. The researcher will reject the null hypothesis since the test statistic is between the critical values. OC. The researcher will 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 reiect the pull hynothesis 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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To test Ho: µ = 100 versus H,: µ# 100, a simple random sample size ofn=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 = 105.8 and s = 8.9, compute the test statistic. t = (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. O B. OC. (d) Will the researcher reject the null hypothesis? A. There is not sufficient evidence for the researcher to reject the null hypothesis since the test statistic is between the critical values. B. The researcher will reject the null hypothesis since the test statistic is between the critical values. C. The researcher will reject the null hypothesis since the test statistic is not between the critical values. D. There is not sufficient evidence for the researcher to reiect the null hvpothesis since the test statistic is not between the critical values.
Transcribed Image Text:To test Ho: µ = 100 versus H,: µ# 100, a simple random sample size ofn=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 = 105.8 and s = 8.9, compute the test statistic. t = (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. O B. OC. (d) Will the researcher reject the null hypothesis? A. There is not sufficient evidence for the researcher to reject the null hypothesis since the test statistic is between the critical values. B. The researcher will reject the null hypothesis since the test statistic is between the critical values. C. The researcher will reject the null hypothesis since the test statistic is not between the critical values. D. There is not sufficient evidence for the researcher to reiect the null hvpothesis since the test statistic is not between the critical values.
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 1.963 1.386 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 4.604 318.309 22.327 10.215 7.173 5.893 636.619 31.599 1.000 1.376 1.061 0.978 0.941 1 3.078 6.314 12.706 127.321 1 0.816 3 0.765 4 0.741 0.727 1.886 1.638 1.533 4.303 3.182 2.776 2.571 14.089 2.920 2.353 2.132 2 1.250 1.190 1.156 7.453 5.598 4.773 12.924 8.610 3 4 0.920 1.476 2.015 4.032 6.869 1.134 1.119 1.108 1.100 1.093 2.447 2.365 2.306 2.262 2.228 3.707 3.499 3.355 5.208 4.785 4.501 6. 0.718 0.711 7 8 0.706 1.440 1.415 1.397 1.943 2.612 3.143 5.959 5.408 5.041 4.781 0.906 4.317 6. 0.896 0.889 1.895 1.860 2.517 2.449 2.398 2.998 2.896 2.821 2.764 4.029 3.833 7 0.703 0.700 0.883 0.879 1.383 1.372 4.297 4.144 9 1.833 3.250 3.690 10 1.812 2.359 3.169 3.581 4.587 10 0.697 0.695 0.694 0.692 0.876 0.873 0.870 1.363 1.356 1.350 1.345 1.341 1.796 2.718 2.681 2.650 2.624 3.106 3.055 3.012 2.977 2.947 3.497 3.428 3.372 3.326 4.025 4.437 11 12 13 1.088 2.201 2.328 11 1.083 1.079 1.076 1.074 1.782 1.771 1.761 2.179 2.160 2.145 2.131 2.303 2.282 2.264 2.249 3.930 3.852 4.318 4.221 12 13 3.787 3.733 14 0.868 4.140 14 15 0.691 0.866 1.753 2.602 3.286 4.073 15 0.690 0.689 1.071 1.069 2.583 2.567 2.552 2.539 2.921 2.898 2.878 2.861 2.845 3.252 3.222 0.865 0.863 0.862 0.861 1.337 1.333 2.120 2.110 3.686 3.646 3.610 3.579 3.552 4.015 3.965 3.922 16 17 1.746 1.740 1.734 1.729 1.725 2.235 2.224 2.214 16 17 1.067 1.066 1.064 1.330 1.328 1.325 18 0.688 2.101 3.197 3.174 3.153 18 2.093 2.205 2.197 19 0.688 3.883 19 20 0.687 0.860 2.086 2.528 3.850 20 0.859 1.063 1.323 2.080 2.189 2.518 2. 500 2.831 3.135 3.527 2 505 3.819 3 702 21 0.686 1.721 21 1.061 1221 1717 2074 2 102 2 010 2110.
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 1.963 1.386 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 4.604 318.309 22.327 10.215 7.173 5.893 636.619 31.599 1.000 1.376 1.061 0.978 0.941 1 3.078 6.314 12.706 127.321 1 0.816 3 0.765 4 0.741 0.727 1.886 1.638 1.533 4.303 3.182 2.776 2.571 14.089 2.920 2.353 2.132 2 1.250 1.190 1.156 7.453 5.598 4.773 12.924 8.610 3 4 0.920 1.476 2.015 4.032 6.869 1.134 1.119 1.108 1.100 1.093 2.447 2.365 2.306 2.262 2.228 3.707 3.499 3.355 5.208 4.785 4.501 6. 0.718 0.711 7 8 0.706 1.440 1.415 1.397 1.943 2.612 3.143 5.959 5.408 5.041 4.781 0.906 4.317 6. 0.896 0.889 1.895 1.860 2.517 2.449 2.398 2.998 2.896 2.821 2.764 4.029 3.833 7 0.703 0.700 0.883 0.879 1.383 1.372 4.297 4.144 9 1.833 3.250 3.690 10 1.812 2.359 3.169 3.581 4.587 10 0.697 0.695 0.694 0.692 0.876 0.873 0.870 1.363 1.356 1.350 1.345 1.341 1.796 2.718 2.681 2.650 2.624 3.106 3.055 3.012 2.977 2.947 3.497 3.428 3.372 3.326 4.025 4.437 11 12 13 1.088 2.201 2.328 11 1.083 1.079 1.076 1.074 1.782 1.771 1.761 2.179 2.160 2.145 2.131 2.303 2.282 2.264 2.249 3.930 3.852 4.318 4.221 12 13 3.787 3.733 14 0.868 4.140 14 15 0.691 0.866 1.753 2.602 3.286 4.073 15 0.690 0.689 1.071 1.069 2.583 2.567 2.552 2.539 2.921 2.898 2.878 2.861 2.845 3.252 3.222 0.865 0.863 0.862 0.861 1.337 1.333 2.120 2.110 3.686 3.646 3.610 3.579 3.552 4.015 3.965 3.922 16 17 1.746 1.740 1.734 1.729 1.725 2.235 2.224 2.214 16 17 1.067 1.066 1.064 1.330 1.328 1.325 18 0.688 2.101 3.197 3.174 3.153 18 2.093 2.205 2.197 19 0.688 3.883 19 20 0.687 0.860 2.086 2.528 3.850 20 0.859 1.063 1.323 2.080 2.189 2.518 2. 500 2.831 3.135 3.527 2 505 3.819 3 702 21 0.686 1.721 21 1.061 1221 1717 2074 2 102 2 010 2110.
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