QUESTION:

A large university has a college algebra enrollment of 5000 students each semester. Because of space limitations, the university decides to offer its college algebra courses in a self-study format in which students learn independently, but have access to tutors and other help in a lab setting. Historically, students in traditional college algebra scored 73.2 points on the final exam, and the coordinator of this course is concerned that test scores are going to decrease in the new format. At the end of the first semester using the new format, 3851 students took the final exams and had a mean score of 72.8 points and a standard deviation of 12.3 points. Treating these students as a random sample of all students. Determine whether or not the scores decreased significantly at the =0.05 level of significance. Do you think that the decrease in scores has any practical significance?

PULL DOWN ANSWER CHOICES:

H₀ & H₁ : orpor & not equal too, = ,

Since the P-value is LESS or GREATER than the level of significance, REJECT or DO NOT REJECT the null hypothesis. There IS or IS NOT sufficient evidence to conclude test scores decreased in the new format.

The sample mean is ____ point(s) lower than the mean stated in the null hypothesis. Therefore, the results ARE or ARE NOT practically significant.

2022 Drake 10 Table of Critical t-Values Next question ege 0.686 0.858 1.061 1.321 1.717 2.074 2.183 2.508 2.819 3.119 3.505 3.792 cess 0.685 0.858 1.060 1.319 1.714 2.069 2.177 2.500 2.807 3.104 3.485 3.768 0.857 1.059 1.318 1.711 2.064 2.172 2.492 2.797 3.091 3.745 se in 0.685 3.467 25 0.856 1.058 1.316 1.708 2.060 2.167 2.485 2.787 3.078 3.450 3.725 a ran 0.684 26 0.684 0.856 1.058 1.315 1.706 2.056 2.162 2.479 2.779 3.067 3.435 3.707 27 0.855 1.057 1.314 1.703 2.052 2.158 2.473 2.771 3.057 3.421 3.690 0.684 3.408 3.674 tabl 28 0.855 1.056 1.313 1.701 2.048 2.154 2.467 2.763 3.047 0.683 29 0.683 0.854 1.055 1.311 1.699 2.045 2.150 2.462 2.756 3.038 3.396 3.659 3.385 3.646 30 0.683 0.854 1.055 1.310 1.697 2.042 2.147 2.457 2.750 3.030 3.375 3.633 31 0.682 0.853 1.054 1.309 1.696 2.040 2.144 2.453 2.744 3.022 3.365 3.622 32 0.682 0.853 1.054 1.309 1.694 2.037 2.141 2.449 2.738 3.015 33 0.682 0.853 1.053 1.308 1.692 2.035 2.138 2.445 2.733 3.008 3.356 3.611 3.348 3.601 d al 34 0.682 0.852 1.052 1.307 1.691 2.032 2.136 2.441 2.728 3.002 3.340 3.591 35 0.682 0.852 1.052 1.306 1.690 2.030 2.133 2.438 2.724 2.996 2.131 2.434 2.719 2.990 3.333 3.582 36 0.681 0.852 1.052 1.306 1.688 2.028 1.687 2.026 2.129 2.431 2.715 2.985 3.326 3.574 37 0.681 0.851 LOS1 1.305 3.319 3.566 38 0.681 0.851 1.051 1.304 1.686 2.024 2.127 2.429 2.712 2.980 2.976 3.313 3.558 39 0.681 0.851 1.050 1.304 1.685 2.023 2.125 2.426 2.708 3.551 0.681 0.851 1.050 1.303 1.684 2.021 2.123 2.423 2.704 2.971 3.307 Don 0.849 1.047 1.209 1.676 2.009 2.109 2.403 2.678 2.937 3.261 3.496 50 0.679 3.460 0.679 0.848 1.045 1.296 1.671 2.000 2.099 2.390 2.660 2.915 3.232 2.648 2.899 3.211 3.435 70 0.678 0.847 1.044 1.294 1.667 1.994 2.093 2.381 80 1.043 1292 1.664 1.990 2.088 2.374 2.639 2.887 3.195 3.416 0.678 0.846 2.368 2.632 2.878 3.183 3.402 90 0.677 0.846 1.042 1.291 1.662 1.987 2.084 nal p 1.660 1.984 2.081 2.364 2.626 2.871 3.174 3.390 100 0.677 0.845 1.042 1.290 0.842 1.037 1.282 1.646 1.962 2.056 2.330 2.581 2.813 3.098 3.300 1000 0.675 1.036 1.282 1.645 1.960 2.054 2.326 2.576 2.807 3.090 3.291 Z 0.674 0.842 0.005 0.0025 0.001 0.0005 Degrees of 0.25 0.20 0.15 0.10 0.05 0.025 0.02 0.01 ee de Freedout MacBook F7mylab.pearson.com C 12 Plan & Sche... 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Sign In - Se Next question right tail t-Distribution Degrees of Area in Right Tail 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 1.000 1.376 1.963 3.078 6.314 12.706 15.894 31.821 63.657 127.32 1 318.309 0.816 636.619 1.061 1.386 1.886 2.920 4.303 4.849 6.965 9.925 14.089 22.327 31.599 0.765 0.978 1.250 1.638 2.353 3.182 3.482 4.541 5.841 7.453 10.215 12.924 IS MAWNE 0.741 0.941 1.190 1.533 2.132 2.776 2.999 3.747 4.604 5.598 7.173 8.610 0.727 0.920 1.156 1.476 2.015 2.571 2.757 3.365 4.032 4.773 5.893 6.869 0.718 0.906 1.134 1.440 1.943 2.447 2.612 3.143 3.707 4.317 5.208 5.959 0.711 0.896 1.119 1.415 1.895 2.365 2.517 2.998 3.499 4.029 4.785 5.408 0.706 0.889 1.108 1.397 1.860 2.306 2.449 2.896 3.355 3.833 4.501 5.041 0.703 0.883 1.100 1.383 1.833 2.262 2.398 2.821 3.250 3.690 4.297 4.781 10 0.700. 0.879 1.093 1.372 1.812 2.428 2.359 2.764 3.169 3.581 4.144 4.587 11 0.697 0.876 1.088 1.363 1.796 2.201 2.328 2.718 3.106 3.497 4.025 4.437 12 0.695 0.873 1.083 1.356 1.782 2.179 2.303 2.681 3.055 3.428 3.930 4.318 13 0.694 0.870 1.079 1.350 1.771 2.160 2.282 2.650 3.012 3.372 3.852 4.221 14 0.692 0.868 1.076 1.345 1.761 2.145 2.264 2.624 2.977 3.326 3.787 4.140 15 0.691 0.866 1.074 1.341 1.753 2.131 2.249 2.602 2.947 3.286 3.733 4.073 16 0.690 0.865 1.071 1.337 1.746 2.120 2.235 2.583 2.921 3.252 3.686 4.015 17 0.689 0.863 1.069 1.333 1.740 2.110 2.224 2.567 2.898 3.222 3.646 3.965 18 0.688 0.862 1.067 1.330 1.734 2.101 2.214 2.552 2.878 3.197 3.610 3.922 19 0.688 0.861 1.066 1.328 1.729 2.093 2.205 2.539 2.861 3.174 3.579 3.883 20 0.687 0.860 1.064 1.325 1.725 2.086 2.197 2.528 2.845 3.153 3.552 3.850 21 0.686 0.859 1.063 1.323 1.721 2.080 2.189 2.518 2.831 3.135 3.527 3.819 MacBookTest: Chapter 10 Test Question 20 of 20 This test: 20 point(s) possible This question: 1 point(s) possible Submit test Next question A large university has a college algebra enrollment of 5000 students each semester. Because of space limitations, the university decides to offer its college algebra courses in a self-study format in which students learn independently, but have access to tutors and other help in a lab setting. Historically, students in traditional college algebra scored 73.2 points on the final exam, and the coordinator of this course is concerned that test scores are going to decrease in the new format. At the end of the first semester using the new format, 3851 students took the final exams and had a mean score of 72.8 points and a standard deviation of 12.3 points. Treating these students as a random sample of all students. Determine whether or not the scores decreased significantly at the a = 0.05 level of significance. Do you think that the decrease in scores has any practical significance? Click the icon to view a table of critical t-values. State the appropriate null and alternative hypotheses. Ho: V V points Hy: | points (Type integers or decimals. Do not round.) Determine the test statistic. to =(Round to two decimal places as needed.) Determine the P-value. P-value = (Round to three decimal places as needed.) Since the P-value is than the level of significance, the null hypothesis. There V sufficient evidence to conclude test scores decreased in the new format. The sample mean is point(s) lower than the mean stated in the null hypothesis. Therefore, the results practically significant. (Type an integer or a decimal. Do not round.) Submit test MacBook 886 @ 2 3 4 5 6 7 W E R T Y U O S F G H J K