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lo test Ho: 100 Versus H 00, simpie random sample size ofh s obtalned from a population that is khown hormally distributed. Answer parts (a)-0). (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-2.797,2.797 (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. O B. OC. (d) Will the researcher reject the null hypothesis?

lo test Ho: 100 Versus H 00, simpie random sample size ofh s obtalned from a population that is khown hormally distributed. Answer parts (a)-0). (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-2.797,2.797 (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. O B. OC. (d) Will the researcher reject the null hypothesis?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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Answer part D!!

To test Ho: µ = 100 versus H1:H# 100, a simple random sample size of n= 25 is obtained from a population that is known to be normally distributed. Answer parts (a)-(d). (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 - 2.797,2.797 (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. С. (d) Will the researcher reject the null hypothesis?
Transcribed Image Text:To test Ho: µ = 100 versus H1:H# 100, a simple random sample size of n= 25 is obtained from a population that is known to be normally distributed. Answer parts (a)-(d). (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 - 2.797,2.797 (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. С. (d) Will the researcher reject the null hypothesis?
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 1.963 1.386 1.250 1.190 1.156 6.314 2.920 2.353 2.132 2.015 31.821 6.965 4.541 3.747 3.365 63.657 9.925 5.841 4.604 4.032 1.000 3.078 1.886 1.638 1.533 1.476 12.706 4.303 3.182 2.776 15.894 4.849 3.482 2.999 2.757 127.321 14.089 7.453 5.598 4.773 318.309 22.327 10.215 7.173 5.893 1 1.376 636.619 1 0.816 0.765 0.741 0.727 1.061 31.599 12.924 8,610 6.869 0.978 0.941 3 4 5 0.920 2571 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 1.943 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 3.707 3.499 3.355 3.250 3.169 4.317 4.029 3.833 3.690 3.581 0.906 3.143 2.998 2,896 2,821 2.764 5.208 4.785 4.501 4.297 5.959 5.408 5.041 4.781 4.587 0.896 0.889 7 8 1.383 1.372 9 0,883 0,879 10 4.144 10 2.201 2.179 2.160 2.145 2.131 3.497 3.428 3.372 3.326 3.286 11 0.697 0.876 1.088 1.363 1.356 1.350 1.345 1.796 2.328 2.303 2.282 2.264 2.249 2.718 3.106 4.025 4.437 11 0.695 0.694 0.692 0.691 0.873 0.870 0.868 1.083 1.079 1.076 1.074 2.681 2.650 2.624 2.602 3.930 3.852 3.787 3.733 12 1.782 1.771 1.761 1.753 3.055 3.012 2.977 4.318 4.221 4.140 12 13 13 14 14 15 0.866 1.341 2.947 4.073 15 1.337 1.333 1.330 1.328 1.325 2.235 2.224 2.214 2.205 2.197 3.686 3.646 1.071 1.069 1.067 1.066 1.064 4.015 3.965 3.922 3.883 3.850 16 17 0.690 0.689 0.865 0.863 0.862 0.861 0.860 1.746 1.740 2.120 2.110 2.101 2.093 2.086 2.583 2.567 2.552 2.539 2.528 2.921 2.898 3.252 3.222 3.197 3.174 3.153 16 17 0.688 0.688 0.687 18 1.734 2.878 3.610 3.579 3.552 18 1.729 1.725 2.861 2.845 19 19 20 20 0,859 0.858 0.858 0.57 0.856 1.323 1.321 1.319 1.318 1.316 2.080 2.074 2.069 2.064 2.060 2.189 2.183 2.177 2.172 2.167 3.135 3.119 3.104 3.091 3.078 21 22 0.686 0.686 0.685 0.685 0.684 1.063 1.061 1.060 1.059 1.058 1.721 1.717 2518 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 2.508 2.500 2.492 2.485 23 1.714 1.711 1.708 23 24 24 25 25 0,684 0.684 1.058 1.057 1.056 1.055 1.055 1.315 1.314 1.706 1.703 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 0.856 2.162 2.158 3.435 3.421 3.408 3.396 3.385 26 2.056 2.052 2.048 26 27 27 0,855 0.55 0.854 0.854 1.701 1.699 1.697 2.154 2.150 2.147 28 0.683 1.313 28 29 30 0.683 0.683 1.311 1.310 2.045 29 30 2.042 1.054 1.054 1.053 1.052 1.052 1.696 1.694 1.692 1.691 1.690 2.144 2.141 2.138 2.136 2.133 0.682 0.682 0.853 1.309 1.309 1.308 1.307 1.306 2.040 2.037 2.035 2.032 2.030 2.453 2.744 2.738 2.733 2.728 2.724 3.022 3.015 3.008 3.002 2.996 31 3.375 3.633 31 0.853 0.853 0.852 0.852 32 2.449 3.365 3.622 32 2.445 2.441 2.438 3.356 3.348 3.340 33 0.682 0.682 0.682 3.611 3.601 3.591 33 34 35 34 35 1.052 1.051 1.051 1.050 1.050 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 3.333 3.326 3.319 3.313 3.307 36 0.681 0.681 0.681 0.681 0.681 0.852 0.851 0.851 0.851 0,851 1.688 1.687 1.686 1.685 1.684 2.434 2.431 2.429 2.426 2.423 2.719 2.715 2.712 2.708 2.704 2.990 2.985 2.980 2.976 2.971 3.582 3.574 3.566 3.558 3.551 36 37 37 38 39 38 39 40 40 0.849 0,848 0.847 0,846 0.846 1.047 1.045 1.044 1.043 1.042 2.109 2.099 2.093 2.088 2.084 2.937 2.915 2.899 2.887 2.878 50 0.679 0.679 0.678 0.678 1.299 1.296 1.294 1.292 1.291 1.676 1.671 1.667 1.664 2.009 2.000 1.994 2.403 2.390 2.381 2.374 2.368 2.678 2.660 2.648 2.639 2.632 3.261 3.232 3.211 3.195 3.183 3.496 3.460 3.435 3.416 3.402 50 60 60 70 70 80 1.990 80 90 0,677 1.662 1.987 90 1.042 1.037 1.036 2.364 2.330 2.326 3.174 3.098 3.090 100 3.390 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 2.807 100 1000 3.300 1000 3.291 z 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 1.963 1.386 1.250 1.190 1.156 6.314 2.920 2.353 2.132 2.015 31.821 6.965 4.541 3.747 3.365 63.657 9.925 5.841 4.604 4.032 1.000 3.078 1.886 1.638 1.533 1.476 12.706 4.303 3.182 2.776 15.894 4.849 3.482 2.999 2.757 127.321 14.089 7.453 5.598 4.773 318.309 22.327 10.215 7.173 5.893 1 1.376 636.619 1 0.816 0.765 0.741 0.727 1.061 31.599 12.924 8,610 6.869 0.978 0.941 3 4 5 0.920 2571 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 1.943 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 3.707 3.499 3.355 3.250 3.169 4.317 4.029 3.833 3.690 3.581 0.906 3.143 2.998 2,896 2,821 2.764 5.208 4.785 4.501 4.297 5.959 5.408 5.041 4.781 4.587 0.896 0.889 7 8 1.383 1.372 9 0,883 0,879 10 4.144 10 2.201 2.179 2.160 2.145 2.131 3.497 3.428 3.372 3.326 3.286 11 0.697 0.876 1.088 1.363 1.356 1.350 1.345 1.796 2.328 2.303 2.282 2.264 2.249 2.718 3.106 4.025 4.437 11 0.695 0.694 0.692 0.691 0.873 0.870 0.868 1.083 1.079 1.076 1.074 2.681 2.650 2.624 2.602 3.930 3.852 3.787 3.733 12 1.782 1.771 1.761 1.753 3.055 3.012 2.977 4.318 4.221 4.140 12 13 13 14 14 15 0.866 1.341 2.947 4.073 15 1.337 1.333 1.330 1.328 1.325 2.235 2.224 2.214 2.205 2.197 3.686 3.646 1.071 1.069 1.067 1.066 1.064 4.015 3.965 3.922 3.883 3.850 16 17 0.690 0.689 0.865 0.863 0.862 0.861 0.860 1.746 1.740 2.120 2.110 2.101 2.093 2.086 2.583 2.567 2.552 2.539 2.528 2.921 2.898 3.252 3.222 3.197 3.174 3.153 16 17 0.688 0.688 0.687 18 1.734 2.878 3.610 3.579 3.552 18 1.729 1.725 2.861 2.845 19 19 20 20 0,859 0.858 0.858 0.57 0.856 1.323 1.321 1.319 1.318 1.316 2.080 2.074 2.069 2.064 2.060 2.189 2.183 2.177 2.172 2.167 3.135 3.119 3.104 3.091 3.078 21 22 0.686 0.686 0.685 0.685 0.684 1.063 1.061 1.060 1.059 1.058 1.721 1.717 2518 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 2.508 2.500 2.492 2.485 23 1.714 1.711 1.708 23 24 24 25 25 0,684 0.684 1.058 1.057 1.056 1.055 1.055 1.315 1.314 1.706 1.703 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 0.856 2.162 2.158 3.435 3.421 3.408 3.396 3.385 26 2.056 2.052 2.048 26 27 27 0,855 0.55 0.854 0.854 1.701 1.699 1.697 2.154 2.150 2.147 28 0.683 1.313 28 29 30 0.683 0.683 1.311 1.310 2.045 29 30 2.042 1.054 1.054 1.053 1.052 1.052 1.696 1.694 1.692 1.691 1.690 2.144 2.141 2.138 2.136 2.133 0.682 0.682 0.853 1.309 1.309 1.308 1.307 1.306 2.040 2.037 2.035 2.032 2.030 2.453 2.744 2.738 2.733 2.728 2.724 3.022 3.015 3.008 3.002 2.996 31 3.375 3.633 31 0.853 0.853 0.852 0.852 32 2.449 3.365 3.622 32 2.445 2.441 2.438 3.356 3.348 3.340 33 0.682 0.682 0.682 3.611 3.601 3.591 33 34 35 34 35 1.052 1.051 1.051 1.050 1.050 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 3.333 3.326 3.319 3.313 3.307 36 0.681 0.681 0.681 0.681 0.681 0.852 0.851 0.851 0.851 0,851 1.688 1.687 1.686 1.685 1.684 2.434 2.431 2.429 2.426 2.423 2.719 2.715 2.712 2.708 2.704 2.990 2.985 2.980 2.976 2.971 3.582 3.574 3.566 3.558 3.551 36 37 37 38 39 38 39 40 40 0.849 0,848 0.847 0,846 0.846 1.047 1.045 1.044 1.043 1.042 2.109 2.099 2.093 2.088 2.084 2.937 2.915 2.899 2.887 2.878 50 0.679 0.679 0.678 0.678 1.299 1.296 1.294 1.292 1.291 1.676 1.671 1.667 1.664 2.009 2.000 1.994 2.403 2.390 2.381 2.374 2.368 2.678 2.660 2.648 2.639 2.632 3.261 3.232 3.211 3.195 3.183 3.496 3.460 3.435 3.416 3.402 50 60 60 70 70 80 1.990 80 90 0,677 1.662 1.987 90 1.042 1.037 1.036 2.364 2.330 2.326 3.174 3.098 3.090 100 3.390 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 2.807 100 1000 3.300 1000 3.291 z 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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