Table of Critical t-Values Area in right tail t-Distribution Area in Right Tail Degrees of Freedom 0.25 0.20 0.15 0.10 0.05 0.025 0.02 0.01 0.005 0.0025 0.001 0.0005 3.078 6.314 2.920 2.353 2.132...

Extracted text: Table of Critical t-Values Area in right tail t-Distribution Area in Right Tail Degrees of Freedom 0.25 0.20 0.15 0.10 0.05 0.025 0.02 0.01 0.005 0.0025 0.001 0.0005 3.078 6.314 2.920 2.353 2.132 2.015 12.706 31.821 6.965 1.000 0.816 0.765 0.741 0.727 1.376 1.061 0.978 1.963 1.386 1.250 1.190 1.156 15.894 4.849 3.482 2.999 2.757 63.657 9.925 5.841 127.321 14.089 7453 5.598 4.773 318.309 636.619 22.327 10.215 7173 5.893 31.599 1.886 1.638 4.303 3.182 2.776 2.571 4.541 3.747 3.365 12.924 8.610 6.869 0.941 1.533 4.604 4.032 0.920 1.476 0.718 0.711 0.706 0.703 0.700 2.612 2.517 2.449 2.398 2.359 3.143 2.998 2.896 2.821 2.764 1.134 1.440 1.415 1.397 1.383 1.372 3.707 3.499 3.355 3.250 3.169 5.208 4.785 4.501 4.297 4.144 5.959 5.408 5.041 4.781 0.906 0.896 0.889 0.883 0.879 1.119 1.108 1.100 1.093 1.943 1.895 1.860 1.833 1.812 2.447 2.365 2.306 2.262 2.228 4.317 4.029 3.833 3.690 3.581 10 4.587 0.697 0.695 0.694 0.692 0.691 1.363 1.356 1.350 1.345 1.341 2.201 2.179 2.160 2.145 2.718 2.681 2.650 2.624 2.602 3.497 11 12 13 14 15 0.876 0.873 0.870 0.868 0.866 4.025 3.930 3.852 4.437 4.318 4.221 4.140 4.073 1.088 1.083 1.796 1.782 1.771 1.761 1.753 2.328 2.303 2.282 2.264 2.249 3.106 3.055 3.012 2.977 2.947 3.428 3.372 1.079 1.076 1.074 3.326 3.286 3.787 3.733 2.131 2.235 2.224 2.214 2.205 2.197 0.865 1.071 1.069 1.067 1.066 1.064 1.337 16 17 18 19 20 0.690 0.689 0.688 0.688 0.687 0.863 0.862 0.861 0.860 1.333 1.330 1.328 1.325 1.746 1.740 1.734 1.729 1.725 2.120 2.110 2.101 2.093 2.086 2.583 2.567 2.552 2.539 2.528 2.921 2.898 2.878 3.252 3.222 3.197 3.174 3.153 3.686 3.646 3.610 3.579 3.552 4.015 3.965 3.922 3.883 3.850 2.861 2.845 0.686 0.686 0.685 0.685 0.684 1.323 1.321 1.319 1.318 1.316 2.518 2.508 2.500 2.492 2.485 2.831 2.819 2.807 2.797 2.787 3.527 3.505 3.485 3.135 3.119 3.819 21 22 23 24 25 0.859 0.858 0.858 0.857 1.063 1.061 1.060 1.059 1.058 1.721 1.717 1.714 1.711 1.708 2.080 2.074 2.069 2.064 2.060 2.189 2.183 2.177 2.172 2.167 3.104 3.091 3.078 3.792 3.768 3.745 3.725 3.467 0.856 3.450 26 27 28 0.684 0.684 0.683 0.856 0.855 0.855 1.058 1.057 1.056 1.315 1.314 1.313 1.706 1.703 1.701 2.056 2.052 2.048 2.162 2.158 2.479 2.473 2.467 2.779 2.771 2.763 3.067 3.057 3.435 3.421 3.408 3.707 3.690 3.674 2.154 3.047 1234


Extracted text: A college entrance exam company determined that a score of 21 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 250 students who completed this core set of courses results in a mean math score of 21.4 on the college entrance exam with a standard deviation of 3.8. Do these results suggest that students who complete the core curriculum are ready for college-level mathematics? That is, are they scoring above 21 on the math 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 H,: H = 21 versus H,: 21. > b) Verify that the requirements to perform the test using the t-distribution are satisfied. Check all that apply. A. The students were randomly sampled. B. The students' test scores were independent of one another. C. The sample size is larger than 30. D. None of the requirements are satisfied. c) Use the classical approach at the a = 0.10 level of significance to find the critical value and test the hypotheses. Identify the test statistic. to (Round to two decimal places as needed.)