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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. E Click the icon to view the table of critical t-values. (a) State the appropriate null and alternative hypotheses. Fill in the correct answers below. The appropriate null and alternative hypotheses are Ho: H = 25 versus H,: P > |25 (Type integers or decimals. Do not round.)

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. E Click the icon to view the table of critical t-values. (a) State the appropriate null and alternative hypotheses. Fill in the correct answers below. The appropriate null and alternative hypotheses are Ho: H = 25 versus H,: P > |25 (Type integers or decimals. Do not round.)

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. ..... (a) State the appropriate null and alternative hypotheses. Fill in the correct answers below. The appropriate null and alternative hypotheses are Ho: H 25 versus H;: 25 > (Type integers or decimals. Do not round.) (b) Verify that the requirements to perform the test using the t-distribution are satisfied. Select all that apply. A. The sample size is larger than 30. B. A boxplot of the sample data shows no outliers. C. The students' test scores were independent of one another. D. The students were randomly sampled. E. The sample data come from a population that is approximately normal. O F. None of the requirements are satisfied. O O
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. ..... (a) State the appropriate null and alternative hypotheses. Fill in the correct answers below. The appropriate null and alternative hypotheses are Ho: H 25 versus H;: 25 > (Type integers or decimals. Do not round.) (b) Verify that the requirements to perform the test using the t-distribution are satisfied. Select all that apply. A. The sample size is larger than 30. B. A boxplot of the sample data shows no outliers. C. The students' test scores were independent of one another. D. The students were randomly sampled. E. The sample data come from a population that is approximately normal. O F. None of the requirements are satisfied. O O
-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 1.376 1.061 0.978 0.941 0.920 3.078 1.886 1.638 1.533 1.476 6.314 2.920 2.353 2.132 2.015 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 1 1.963 1.386 1.250 1.190 1.156 127.321 318.309 636.619 31.599 12.924 8.610 6.869 1 14.089 7.453 5.598 4.773 22.327 10.215 7.173 5.893 2 3 4 5 5.208 4.785 0.906 0.896 0,889 0.883 0,879 1.134 1.119 1.108 1.100 1.943 1.895 2.447 2.365 2.306 2.262 2.228 2.612 3.143 3.707 3.499 3.355 3.250 3.169 4.317 4.029 5.959 5.408 5.041 4.781 4.587 6 0.718 1.440 1.415 1.397 1.860 1.383 1.093 1.372 6 2.517 2.449 2.398 2.359 2.998 2.896 2.821 7 0.711 7 0.706 0.703 0,700 3.833 3.690 3.581 4.501 4.297 4.144 8 1.833 1.812 9 10 2.764 10 0.697 0.695 4.025 3.930 3.852 3.787 3.733 0.876 1.088 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 2,681 2.650 2,624 2,602 3.106 3.055 3.012 2.977 2.947 3.497 11 12 13 14 15 4.437 4.318 4.221 4.140 4.073 11 0.873 0.870 0.868 0.866 1.083 1.079 1.350 1.076 1.345 1.074 1.341 1.782 1.771 1.761 1.753 1.356 0.694 0.692 0.691 3.428 3.372 3.326 3.286 12 13 14 15 2.120 2.110 2.101 2.093 2.086 3.252 3.222 3.197 3.174 3.153 2.235 16 17 18 0,690 0.689 0.863 1.069 1.333 0,688 0.688 0,687 0.865 1.071 1.337 1.746 1.740 1.734 1.729 1.725 2.583 2.567 2.552 2.921 2.898 2.878 2.861 2.845 3.686 3.646 3.610 3.579 3.552 4.015 3.965 3.922 3.883 3.850 16 17 2.224 2.214 2.205 2.197 0.862 1.067 1.330 0.861 1.066 1.064 1.328 1.325 2.539 2,528 18 19 20 19 20 0.860 2.831 2.819 2.807 2.797 2.787 3.527 3.505 3.485 1.323 1.721 1.717 1.714 1.711 1.708 2.080 2.074 2.069 2.189 2.183 2.177 2.172 2.167 3.135 3.119 3.104 21 0.859 0.858 0,858 1.063 2,518 2,508 2,500 2.492 3.819 3.792 3.768 0.686 21 22 1.061 0.686 0.685 0,685 0,684 1.321 1.060 1.319 1.059 22 23 23 24 0.857 1.318 2.064 2.060 3.091 3.467 3.745 24 25 0.856 1.058 1.316 2.485 3.078 3.450 3.725 25 1.058 1.057 2.779 2.771 2.763 2.756 2.750 3.707 3.690 3.674 3.659 3.646 1.315 1.706 1.314 1.703 1.313 1.701 2.056 2.052 2.048 2.045 2.042 3.067 3.057 26 0.856 2.162 2.158 2.154 2.150 2.147 2,479 2.473 3.435 3,421 3.408 3.396 3.385 0.684 26 27 28 29 30 0.684 0.683 0.683 0.683 0.855 27 0.855 0.854 0,854 1.056 1.055 1.055 2.467 2.462 2,457 3.047 3.038 3.030 28 29 1.311 1.699 1.310 1.697 30 1.054 1.309 1.054 1.309 1.053 1.308 3.633 3.622 3.611 3,601 3.591 2.453 3.375 3.365 3.356 3.348 3.340 31 0,682 0,853 1.696 1.694 1.692 1.691 2.040 2.144 2.141 2.138 2.744 3.022 3.015 3.008 3.002 31 0.682 0.682 0,682 0.682 32 33 0.853 0.853 0,852 0.852 2.037 2.035 2.032 2.030 2.449 2.445 2.441 2.438 2.738 2.733 2.728 2.724 32 33 34 35 1.052 1.307 2.136 2.133 34 35 1.052 1.306 1.690 2.996 36 0.681 1.306 0.852 0.851 0.851 0.851 0.851 1.052 1.688 2.028 2.026 2.024 2.023 2.021 2.131 2.129 2.127 2.125 2.123 2.434 2.431 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 3.333 3.326 3.319 3.313 3.307 3.582 3.574 3.566 3.558 3.551 36 1.305 1.051 1.304 1.050 1.304 1.050 37 0.681 0.681 0.681 0,681 1.051 1.687 37 1.686 1.685 1.684 38 38 39 40 39 40 1.303 1.047 1.045 0.847 1.044 1.294 1.043 1.042 1.299 1.296 2.009 2.000 1.994 2.403 2.390 2.678 2.660 2.648 2.639 2.632 0.849 0.848 1.676 1.671 1.667 1.664 1.662 2.109 2.099 2.093 2.088 3.496 3.460 3.435 3.416 50 0.679 0.679 2.937 2.915 2.899 2.887 2.878 3.261 3.232 3.211 3.195 3.183 50 60 70 60 70 0.678 0.678 1.990 1.987 2.381 2.374 2.368 0.846 1.292 1.291 80 80 90 0.677 0.846 2.084 3.402 90 0.845 0.842 0.842 1.042 1.037 1.036 1.290 1.282 1.282 1.660 1.646 1.645 1.984 1.962 1.960 2.364 2.330 2,326 2.626 2.581 2.576 3.174 3.098 3.090 2.081 2.871 2.813 2.807 100 0.677 3.390 2.056 2.054 100 3.300 1000 3.291 z 1000 0.675 0.674 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 1.376 1.061 0.978 0.941 0.920 3.078 1.886 1.638 1.533 1.476 6.314 2.920 2.353 2.132 2.015 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 1 1.963 1.386 1.250 1.190 1.156 127.321 318.309 636.619 31.599 12.924 8.610 6.869 1 14.089 7.453 5.598 4.773 22.327 10.215 7.173 5.893 2 3 4 5 5.208 4.785 0.906 0.896 0,889 0.883 0,879 1.134 1.119 1.108 1.100 1.943 1.895 2.447 2.365 2.306 2.262 2.228 2.612 3.143 3.707 3.499 3.355 3.250 3.169 4.317 4.029 5.959 5.408 5.041 4.781 4.587 6 0.718 1.440 1.415 1.397 1.860 1.383 1.093 1.372 6 2.517 2.449 2.398 2.359 2.998 2.896 2.821 7 0.711 7 0.706 0.703 0,700 3.833 3.690 3.581 4.501 4.297 4.144 8 1.833 1.812 9 10 2.764 10 0.697 0.695 4.025 3.930 3.852 3.787 3.733 0.876 1.088 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 2,681 2.650 2,624 2,602 3.106 3.055 3.012 2.977 2.947 3.497 11 12 13 14 15 4.437 4.318 4.221 4.140 4.073 11 0.873 0.870 0.868 0.866 1.083 1.079 1.350 1.076 1.345 1.074 1.341 1.782 1.771 1.761 1.753 1.356 0.694 0.692 0.691 3.428 3.372 3.326 3.286 12 13 14 15 2.120 2.110 2.101 2.093 2.086 3.252 3.222 3.197 3.174 3.153 2.235 16 17 18 0,690 0.689 0.863 1.069 1.333 0,688 0.688 0,687 0.865 1.071 1.337 1.746 1.740 1.734 1.729 1.725 2.583 2.567 2.552 2.921 2.898 2.878 2.861 2.845 3.686 3.646 3.610 3.579 3.552 4.015 3.965 3.922 3.883 3.850 16 17 2.224 2.214 2.205 2.197 0.862 1.067 1.330 0.861 1.066 1.064 1.328 1.325 2.539 2,528 18 19 20 19 20 0.860 2.831 2.819 2.807 2.797 2.787 3.527 3.505 3.485 1.323 1.721 1.717 1.714 1.711 1.708 2.080 2.074 2.069 2.189 2.183 2.177 2.172 2.167 3.135 3.119 3.104 21 0.859 0.858 0,858 1.063 2,518 2,508 2,500 2.492 3.819 3.792 3.768 0.686 21 22 1.061 0.686 0.685 0,685 0,684 1.321 1.060 1.319 1.059 22 23 23 24 0.857 1.318 2.064 2.060 3.091 3.467 3.745 24 25 0.856 1.058 1.316 2.485 3.078 3.450 3.725 25 1.058 1.057 2.779 2.771 2.763 2.756 2.750 3.707 3.690 3.674 3.659 3.646 1.315 1.706 1.314 1.703 1.313 1.701 2.056 2.052 2.048 2.045 2.042 3.067 3.057 26 0.856 2.162 2.158 2.154 2.150 2.147 2,479 2.473 3.435 3,421 3.408 3.396 3.385 0.684 26 27 28 29 30 0.684 0.683 0.683 0.683 0.855 27 0.855 0.854 0,854 1.056 1.055 1.055 2.467 2.462 2,457 3.047 3.038 3.030 28 29 1.311 1.699 1.310 1.697 30 1.054 1.309 1.054 1.309 1.053 1.308 3.633 3.622 3.611 3,601 3.591 2.453 3.375 3.365 3.356 3.348 3.340 31 0,682 0,853 1.696 1.694 1.692 1.691 2.040 2.144 2.141 2.138 2.744 3.022 3.015 3.008 3.002 31 0.682 0.682 0,682 0.682 32 33 0.853 0.853 0,852 0.852 2.037 2.035 2.032 2.030 2.449 2.445 2.441 2.438 2.738 2.733 2.728 2.724 32 33 34 35 1.052 1.307 2.136 2.133 34 35 1.052 1.306 1.690 2.996 36 0.681 1.306 0.852 0.851 0.851 0.851 0.851 1.052 1.688 2.028 2.026 2.024 2.023 2.021 2.131 2.129 2.127 2.125 2.123 2.434 2.431 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 3.333 3.326 3.319 3.313 3.307 3.582 3.574 3.566 3.558 3.551 36 1.305 1.051 1.304 1.050 1.304 1.050 37 0.681 0.681 0.681 0,681 1.051 1.687 37 1.686 1.685 1.684 38 38 39 40 39 40 1.303 1.047 1.045 0.847 1.044 1.294 1.043 1.042 1.299 1.296 2.009 2.000 1.994 2.403 2.390 2.678 2.660 2.648 2.639 2.632 0.849 0.848 1.676 1.671 1.667 1.664 1.662 2.109 2.099 2.093 2.088 3.496 3.460 3.435 3.416 50 0.679 0.679 2.937 2.915 2.899 2.887 2.878 3.261 3.232 3.211 3.195 3.183 50 60 70 60 70 0.678 0.678 1.990 1.987 2.381 2.374 2.368 0.846 1.292 1.291 80 80 90 0.677 0.846 2.084 3.402 90 0.845 0.842 0.842 1.042 1.037 1.036 1.290 1.282 1.282 1.660 1.646 1.645 1.984 1.962 1.960 2.364 2.330 2,326 2.626 2.581 2.576 3.174 3.098 3.090 2.081 2.871 2.813 2.807 100 0.677 3.390 2.056 2.054 100 3.300 1000 3.291 z 1000 0.675 0.674 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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