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A college entrance exam company determined that a score of 25 on the mathematics portion of the exam suggests that a student is ready for college-level mathematics. To achieve this goal, the company recommends that students take a core curriculum of math courses in high school. Suppose a random sample of 150 students who completed this core set of courses results in a mean math score of 25.6 on the college entrance exam with a standard deviation of 3.3. Do these results suggest that students who complete the core curriculum are ready for college-level mathematics? That is, are they scoring above 25 on the mathematics portion of the exam? Complete parts a) through d) below. Click the icon to view the table of critical t-values. (c) Use the P-value approach at the a = 0.10 level of significance to test the hypotheses in part (a). Identify the test statistic. to = (Round to two decimal places as needed.) Approximate the P-value. The P-value is in the range (d) Write a conclusion based on the results. V the null hypothesis and claim that there V sufficient evidence to conclude that the population mean is v than 25.

A college entrance exam company determined that a score of 25 on the mathematics portion of the exam suggests that a student is ready for college-level mathematics. To achieve this goal, the company recommends that students take a core curriculum of math courses in high school. Suppose a random sample of 150 students who completed this core set of courses results in a mean math score of 25.6 on the college entrance exam with a standard deviation of 3.3. Do these results suggest that students who complete the core curriculum are ready for college-level mathematics? That is, are they scoring above 25 on the mathematics portion of the exam? Complete parts a) through d) below. Click the icon to view the table of critical t-values. (c) Use the P-value approach at the a = 0.10 level of significance to test the hypotheses in part (a). Identify the test statistic. to = (Round to two decimal places as needed.) Approximate the P-value. The P-value is in the range (d) Write a conclusion based on the results. V the null hypothesis and claim that there V sufficient evidence to conclude that the population mean is v than 25.

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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A college entrance exam company determined that a score of 25 on the mathematics portion of the exam suggests that a student is ready for college-level mathematics. To achieve this goal, the company recommends that students take a core curriculum of math courses in high school. Suppose a random sample of 150 students who completed this core set of courses results in a mean math score of 25.6 on the college entrance exam with a standard deviation of 3.3. Do these results suggest that students who complete the core curriculum are ready for college-level mathematics? That is, are they scoring above 25 on the mathematics portion of the exam? Complete parts a) through d) below. Click the icon to view the table of critical t-values. .... . (c) Use the P-value approach at the a = 0.10 level of significance to test the hypotheses in part (a). Identify the test statistic. to = (Round to two decimal places as needed.) Approximate the P-value. The P-value is in the range (d) Write a conclusion based on the results. the null hypothesis and claim that there sufficient evidence to conclude that the population mean is than 25.
Transcribed Image Text:A college entrance exam company determined that a score of 25 on the mathematics portion of the exam suggests that a student is ready for college-level mathematics. To achieve this goal, the company recommends that students take a core curriculum of math courses in high school. Suppose a random sample of 150 students who completed this core set of courses results in a mean math score of 25.6 on the college entrance exam with a standard deviation of 3.3. Do these results suggest that students who complete the core curriculum are ready for college-level mathematics? That is, are they scoring above 25 on the mathematics portion of the exam? Complete parts a) through d) below. Click the icon to view the table of critical t-values. .... . (c) Use the P-value approach at the a = 0.10 level of significance to test the hypotheses in part (a). Identify the test statistic. to = (Round to two decimal places as needed.) Approximate the P-value. The P-value is in the range (d) Write a conclusion based on the results. the null hypothesis and claim that there sufficient evidence to conclude that the population mean is than 25.
Area in right tail (-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 1.000 2 0,816 3 0.765 4 0,741 5 0.727 12.706 4.303 3.182 2.776 2.571 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 4.032 318.309 22.327 10.215 7.173 5.893 636.619 31,599 12.924 8.610 6.869 1 1.376 1.061 0.978 0.941 0.920 1.963 1.386 1.250 1.190 1.156 3.078 1.886 1.638 1.533 1.476 6.314 2.920 2.353 2.132 2.015 127.321 14.089 7.453 5.598 4.773 1 2 3 4 5 1.134 1.119 1.108 1.100 1.093 0.718 0.906 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 3.143 2.998 2.896 2.821 2,764 3.707 3.499 3.355 3.250 4.317 5.208 4.785 4.501 4.297 4.144 5.959 5.408 5.041 4.781 4.587 0.711 0.896 4.029 3.833 3.690 3.581 7 8 0.706 0.889 0.703 9 0.700 0.883 0.879 8 9 10 2.359 3.169 10 2.328 2.303 2.282 2.264 2.249 4.025 3.930 3.852 3.787 3.733 4.437 4.318 4.221 4.140 4.073 11 0.697 0,876 0.873 0.870 1.088 1.363 1.796 2.201 2.718 3.106 3.055 3.012 2.977 2.947 3.497 11 12 13 14 0.695 0.694 0,692 0.691 1.083 1.079 1.076 1.074 1.356 1.350 1.345 1.341 1.782 1.771 1.761 1.753 2.179 2.160 2.145 2.131 2.681 2,650 2,624 2.602 3.428 3.372 3.326 3.286 12 13 0.868 14 15 0.866 15 1.071 1.069 1.067 2.120 2.110 2.101 2.093 2.583 2.567 2.552 2.539 2.528 2.235 2.224 4.015 3.965 3.922 3.883 3.850 0.690 0.865 1.337 1.333 1.330 1.746 1.740 1.734 1.729 1.725 2.921 2.898 2.878 2.861 2.845 3.252 3,222 3.197 3.174 3.153 16 17 3.686 3.646 16 0.689 0.863 0.688 0.862 0.688 0.861 0.687 0.860 17 18 19 20 1.066 1.328 1.064 1.325 2.214 2.205 2.197 3.610 3.579 3.552 18 19 20 2.086 2.189 2.183 2.177 2.518 2.508 2.500 2.492 2.485 3.135 3.119 3.104 3.527 3.505 3.485 3.819 3.792 3.768 21 0.686 0.859 1.063 1.061 0.858 1.060 1.319 1.059 1.058 1.316 1.323 1.721 2.080 2.831 2.819 2.807 2.797 2.787 21 22 23 22 0.686 0.685 0,685 0.858 1.321 1.717 1.714 1.318 1.711 1.708 2.074 2.069 2.064 2.060 23 24 0.857 2.172 3.091 3.467 3.745 24 25 0.684 0.856 2.167 3.078 3.450 3.725 25 0.856 0.855 0.855 0.854 0.854 1.058 1.057 1.056 1.313 1.055 1.055 1.706 1.703 1.701 1.699 1.697 3.707 3.690 3.674 3.659 3.646 2.779 3.435 3.421 3.408 3.396 3.385 26 1.315 1.314 2.056 2.052 2.048 2.045 2.042 2.162 2.158 2.154 2.150 2.479 2.473 2,467 2.462 2.457 3.067 3.057 3.047 3.038 3.030 26 27 28 29 30 0.684 0.684 0,683 0.683 0.683 2.771 27 1.311 1.310 2.763 2.756 2.750 28 29 2.147 30 31 32 33 0.682 0.682 0.682 0.682 0,682 0.853 0.853 0.853 1.309 1.309 1.308 1.307 1.306 2.040 2.037 2.035 2.032 2.030 2.144 2.141 2.138 2.136 2.133 3.633 3.622 3.611 3,601 3.591 1.054 1.696 2.453 2.449 2.445 2.441 2.438 2.744 1.054 1.053 1.052 1.052 1.694 1.692 1.691 1.690 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 31 32 33 34 35 0.852 34 0,852 35 3.582 3.574 36 0.852 0.851 0.851 0.851 0.851 1.052 1.051 1.306 1.305 1.304 1.304 1.303 1.688 2.028 2.026 2.024 2.023 2.021 2.131 2.129 2.127 2.125 2.123 2.434 2.719 2.715 2.990 2.985 2.980 2.976 2.971 3.333 36 37 0.681 3.326 3.319 3.313 3.307 37 0.681 1.687 2.431 38 39 40 0.681 0.681 0.681 1.051 1.050 1.050 1.686 1.685 1.684 2.429 2.426 2.423 2.712 2.708 2.704 3.566 3.558 3.551 38 39 40 50 60 70 0.679 0.679 0.678 0.847 0.678 0.677 1.299 1.296 1.294 1.292 1.291 1.676 1.671 1.667 2.678 2.660 2.648 2.639 2.632 2.937 2.915 2.899 2.887 2.878 3.261 3.232 3.211 3.195 3.496 3.460 3.435 3.416 3.402 0,849 1.047 1.045 1.044 1.043 1.042 2.009 2.000 1.994 1.990 1.987 2.109 2.099 2.093 2.088 2.084 2.403 2,390 2.381 2.374 2.368 50 0.848 60 70 80 0.846 1.664 80 90 0.846 1.662 3.183 90 0.677 0,675 0.674 0.845 0.842 0.842 1.042 1.037 1.036 1.290 1.282 1.282 1.660 1.646 1.645 2.081 2.056 2.054 2.364 2.330 2.326 2.626 2.581 2.576 2.871 2.813 2.807 3.390 100 1000 1.984 1.962 1.960 3.174 3.098 3.090 100 3.300 1000 3.291 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:Area in right tail (-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 1.000 2 0,816 3 0.765 4 0,741 5 0.727 12.706 4.303 3.182 2.776 2.571 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 4.032 318.309 22.327 10.215 7.173 5.893 636.619 31,599 12.924 8.610 6.869 1 1.376 1.061 0.978 0.941 0.920 1.963 1.386 1.250 1.190 1.156 3.078 1.886 1.638 1.533 1.476 6.314 2.920 2.353 2.132 2.015 127.321 14.089 7.453 5.598 4.773 1 2 3 4 5 1.134 1.119 1.108 1.100 1.093 0.718 0.906 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 3.143 2.998 2.896 2.821 2,764 3.707 3.499 3.355 3.250 4.317 5.208 4.785 4.501 4.297 4.144 5.959 5.408 5.041 4.781 4.587 0.711 0.896 4.029 3.833 3.690 3.581 7 8 0.706 0.889 0.703 9 0.700 0.883 0.879 8 9 10 2.359 3.169 10 2.328 2.303 2.282 2.264 2.249 4.025 3.930 3.852 3.787 3.733 4.437 4.318 4.221 4.140 4.073 11 0.697 0,876 0.873 0.870 1.088 1.363 1.796 2.201 2.718 3.106 3.055 3.012 2.977 2.947 3.497 11 12 13 14 0.695 0.694 0,692 0.691 1.083 1.079 1.076 1.074 1.356 1.350 1.345 1.341 1.782 1.771 1.761 1.753 2.179 2.160 2.145 2.131 2.681 2,650 2,624 2.602 3.428 3.372 3.326 3.286 12 13 0.868 14 15 0.866 15 1.071 1.069 1.067 2.120 2.110 2.101 2.093 2.583 2.567 2.552 2.539 2.528 2.235 2.224 4.015 3.965 3.922 3.883 3.850 0.690 0.865 1.337 1.333 1.330 1.746 1.740 1.734 1.729 1.725 2.921 2.898 2.878 2.861 2.845 3.252 3,222 3.197 3.174 3.153 16 17 3.686 3.646 16 0.689 0.863 0.688 0.862 0.688 0.861 0.687 0.860 17 18 19 20 1.066 1.328 1.064 1.325 2.214 2.205 2.197 3.610 3.579 3.552 18 19 20 2.086 2.189 2.183 2.177 2.518 2.508 2.500 2.492 2.485 3.135 3.119 3.104 3.527 3.505 3.485 3.819 3.792 3.768 21 0.686 0.859 1.063 1.061 0.858 1.060 1.319 1.059 1.058 1.316 1.323 1.721 2.080 2.831 2.819 2.807 2.797 2.787 21 22 23 22 0.686 0.685 0,685 0.858 1.321 1.717 1.714 1.318 1.711 1.708 2.074 2.069 2.064 2.060 23 24 0.857 2.172 3.091 3.467 3.745 24 25 0.684 0.856 2.167 3.078 3.450 3.725 25 0.856 0.855 0.855 0.854 0.854 1.058 1.057 1.056 1.313 1.055 1.055 1.706 1.703 1.701 1.699 1.697 3.707 3.690 3.674 3.659 3.646 2.779 3.435 3.421 3.408 3.396 3.385 26 1.315 1.314 2.056 2.052 2.048 2.045 2.042 2.162 2.158 2.154 2.150 2.479 2.473 2,467 2.462 2.457 3.067 3.057 3.047 3.038 3.030 26 27 28 29 30 0.684 0.684 0,683 0.683 0.683 2.771 27 1.311 1.310 2.763 2.756 2.750 28 29 2.147 30 31 32 33 0.682 0.682 0.682 0.682 0,682 0.853 0.853 0.853 1.309 1.309 1.308 1.307 1.306 2.040 2.037 2.035 2.032 2.030 2.144 2.141 2.138 2.136 2.133 3.633 3.622 3.611 3,601 3.591 1.054 1.696 2.453 2.449 2.445 2.441 2.438 2.744 1.054 1.053 1.052 1.052 1.694 1.692 1.691 1.690 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 31 32 33 34 35 0.852 34 0,852 35 3.582 3.574 36 0.852 0.851 0.851 0.851 0.851 1.052 1.051 1.306 1.305 1.304 1.304 1.303 1.688 2.028 2.026 2.024 2.023 2.021 2.131 2.129 2.127 2.125 2.123 2.434 2.719 2.715 2.990 2.985 2.980 2.976 2.971 3.333 36 37 0.681 3.326 3.319 3.313 3.307 37 0.681 1.687 2.431 38 39 40 0.681 0.681 0.681 1.051 1.050 1.050 1.686 1.685 1.684 2.429 2.426 2.423 2.712 2.708 2.704 3.566 3.558 3.551 38 39 40 50 60 70 0.679 0.679 0.678 0.847 0.678 0.677 1.299 1.296 1.294 1.292 1.291 1.676 1.671 1.667 2.678 2.660 2.648 2.639 2.632 2.937 2.915 2.899 2.887 2.878 3.261 3.232 3.211 3.195 3.496 3.460 3.435 3.416 3.402 0,849 1.047 1.045 1.044 1.043 1.042 2.009 2.000 1.994 1.990 1.987 2.109 2.099 2.093 2.088 2.084 2.403 2,390 2.381 2.374 2.368 50 0.848 60 70 80 0.846 1.664 80 90 0.846 1.662 3.183 90 0.677 0,675 0.674 0.845 0.842 0.842 1.042 1.037 1.036 1.290 1.282 1.282 1.660 1.646 1.645 2.081 2.056 2.054 2.364 2.330 2.326 2.626 2.581 2.576 2.871 2.813 2.807 3.390 100 1000 1.984 1.962 1.960 3.174 3.098 3.090 100 3.300 1000 3.291 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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