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It is suggested by college mathematics instructors that students spend 2 hours outside class studying for every hour in class. So, for a 4-credit-hour math class, students should sp least 8 hours (480 minutes) studying each week. The given data represent the time spent on task recorded (in minutes) for randomly selected students during the third week of the semester. Determine if the evidence suggests students may not, in fact, be following the advice. That is, does the evidence suggest students are studying less than 480 minutes each week? Use x = 0.05 level of significance. Note: A normal probability plot and boxplot indicate that the data come from a population that is normally distributed with no outliers. Complete parts (a) through (e) below. Click here to view the time spent on task data. Click here to view a table of critical t-values.

It is suggested by college mathematics instructors that students spend 2 hours outside class studying for every hour in class. So, for a 4-credit-hour math class, students should sp least 8 hours (480 minutes) studying each week. The given data represent the time spent on task recorded (in minutes) for randomly selected students during the third week of the semester. Determine if the evidence suggests students may not, in fact, be following the advice. That is, does the evidence suggest students are studying less than 480 minutes each week? Use x = 0.05 level of significance. Note: A normal probability plot and boxplot indicate that the data come from a population that is normally distributed with no outliers. Complete parts (a) through (e) below. Click here to view the time spent on task data. Click here to view a table of critical t-values.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 31PPS
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Table of Critical t-Values 12345678910 112151671912092980 Degrees of Freedom 0.25 13 14 23 24 32 33 2 t-Distribution Area in Right Tail 0.20 0.15 0.05 0.025 0.02 1.000 1.376 1.963 3.078 6.314 12.706 15.894 0.816 1.061 1.386 1.886 2.920 4.303 4.849 0.765 0.978 1.250 1.638 2.353 3.182 3.482 0.741 0.941 1.190 1.533 2.132 2.776 2.999 0.727 0.920 1.156 1.476 2.015 2.571 2.757 0.718 0.906 1.134 1.440 1.943 2.447 2.612 3.143 3.707 0.711 0.896 1.119 1.415 1.895 2.365 2.517 2.998 3.499 0.706 0.889 1.108 1.397 1.860 2.306 2.449 2.896 3.355 0.703 0.883 1.100 1.383 1.833 2.398 2.821 1.093 1.372 2.262 3.250 1.812 2.228 2.359 3.169 0.700. 0.879 0.876 2.764 2.328 2.718 0.697 1.796 2.201 0.695 0.873 2.179 2.303 2.681 0.694 0.870 1.088 1.363 1.083 1.356 1.782 1.079 1.350 1.771 2.160 2.282 2.650 1.076 1.345 1.761 2.145 2.264 2.624 1.074 1.753 1.337 1.746 1.333 1.740 2.110 1.330 1.734 2.101 1.328 1.729 1.341 2.131 2.249 1.067 1.066 1.064 1.325 1.725 2.567 2.898 2.552 2.878 2.539 2.861 2.528 2.845 2.093 2.086 2.120 2.235 2.583 2.921 2.224 2.214 2.205 2.197 1.063 1.323 1.721 2.080 2.189 2.518 2.831 1.061 1.321 1.717 2.074 2.183 2.508 2.819 1.060 1.319 1.714 2.069 2.177 2.500 2.807 1.059 1.318 1.711 2.064 2.172 2.492 2.797 1.058 1.316 1.708 2.060 2.167 2.485 2.787 1.706 2.056 2.162 2.479 2.779 1.703 2.052 2.158 2.473 2.771 1.701 2.048 2.154 2.467 2.763 1.699 2.045 2.150 2.462 2.756 1.697 2.042 2.147 2.457 2.750 1.696 2.040 2.144 2.453 2.744 1.694 2.037 2.141 2.449 2.738 1.692 2.035 2.138 2.445 2.733 2.022 1.601 2136 2.728 0.692 0.868 0.691 0.866 0.690 0.865 0.863 0.688 0.862 0.861 0.686 0.860 0.859 0.686 0.858 0.685 0.858 0.685 0.857 0.856 0.684 0.689 0.688 0.687 Area in right tail 0.684 0.684 0.856 1.315 0.855 1.314 0.855 1.056 1.313 0.854 1.055 1.311 0.854 1.055 1.310 0.682 0.853 1.054 1.309 0.682 0.853 1.054 1.309 0.682 0.853 1.053 1.308 0852 1.052 1307 0.682 0.683 0.683 0.683 1.071 1.069 1.058 1.057 0.10 0.01 0.005 0.0025 0.001 0.0005 31.821 63.657 127.321 318.309 636.619 6.965 9.925 14.089 22.327 31.599 4.541 5.841 7.453 10.215 12.924 3.747 4.604 5.598 7173 3.365 4.032 4.773 5.893 3.106 3.055 3.012 2.977 2.602 2.947 4.317 5.208 4.029 4.785 3.833 4.501 3.690 4.297 3.581 4.144 3.497 4.025 3.428 3.930 3.372 3.852 3.326 3.787 3.286 3.733 3.252 3.686 3.646 3.610 3.222 3.197 3.174 3.579 3.153 3.552 3.135 3.527 3.119 3.505 3.104 3.485 3.091 3.467 3.078 3.450 3.067 3.435 3.057 3.421 3.047 3.408 3.038 3.396 3.030 3.385 3.022 3.375 3.015 3.365 3.008 3.356 3.002 2.2.48 8.610 6.869 5.959 5.408 5.041 4.781 4.587 4.437 4.318 4.221 4.140 4.073 4.015 3.965 3.922 3.883 3.850 3.819 3.792 3.768 3.745 3.725 3.707 3.690 3.674 3.659 3.646 3.633 3.622 3.611 3.601 I X
Transcribed Image Text:Table of Critical t-Values 12345678910 112151671912092980 Degrees of Freedom 0.25 13 14 23 24 32 33 2 t-Distribution Area in Right Tail 0.20 0.15 0.05 0.025 0.02 1.000 1.376 1.963 3.078 6.314 12.706 15.894 0.816 1.061 1.386 1.886 2.920 4.303 4.849 0.765 0.978 1.250 1.638 2.353 3.182 3.482 0.741 0.941 1.190 1.533 2.132 2.776 2.999 0.727 0.920 1.156 1.476 2.015 2.571 2.757 0.718 0.906 1.134 1.440 1.943 2.447 2.612 3.143 3.707 0.711 0.896 1.119 1.415 1.895 2.365 2.517 2.998 3.499 0.706 0.889 1.108 1.397 1.860 2.306 2.449 2.896 3.355 0.703 0.883 1.100 1.383 1.833 2.398 2.821 1.093 1.372 2.262 3.250 1.812 2.228 2.359 3.169 0.700. 0.879 0.876 2.764 2.328 2.718 0.697 1.796 2.201 0.695 0.873 2.179 2.303 2.681 0.694 0.870 1.088 1.363 1.083 1.356 1.782 1.079 1.350 1.771 2.160 2.282 2.650 1.076 1.345 1.761 2.145 2.264 2.624 1.074 1.753 1.337 1.746 1.333 1.740 2.110 1.330 1.734 2.101 1.328 1.729 1.341 2.131 2.249 1.067 1.066 1.064 1.325 1.725 2.567 2.898 2.552 2.878 2.539 2.861 2.528 2.845 2.093 2.086 2.120 2.235 2.583 2.921 2.224 2.214 2.205 2.197 1.063 1.323 1.721 2.080 2.189 2.518 2.831 1.061 1.321 1.717 2.074 2.183 2.508 2.819 1.060 1.319 1.714 2.069 2.177 2.500 2.807 1.059 1.318 1.711 2.064 2.172 2.492 2.797 1.058 1.316 1.708 2.060 2.167 2.485 2.787 1.706 2.056 2.162 2.479 2.779 1.703 2.052 2.158 2.473 2.771 1.701 2.048 2.154 2.467 2.763 1.699 2.045 2.150 2.462 2.756 1.697 2.042 2.147 2.457 2.750 1.696 2.040 2.144 2.453 2.744 1.694 2.037 2.141 2.449 2.738 1.692 2.035 2.138 2.445 2.733 2.022 1.601 2136 2.728 0.692 0.868 0.691 0.866 0.690 0.865 0.863 0.688 0.862 0.861 0.686 0.860 0.859 0.686 0.858 0.685 0.858 0.685 0.857 0.856 0.684 0.689 0.688 0.687 Area in right tail 0.684 0.684 0.856 1.315 0.855 1.314 0.855 1.056 1.313 0.854 1.055 1.311 0.854 1.055 1.310 0.682 0.853 1.054 1.309 0.682 0.853 1.054 1.309 0.682 0.853 1.053 1.308 0852 1.052 1307 0.682 0.683 0.683 0.683 1.071 1.069 1.058 1.057 0.10 0.01 0.005 0.0025 0.001 0.0005 31.821 63.657 127.321 318.309 636.619 6.965 9.925 14.089 22.327 31.599 4.541 5.841 7.453 10.215 12.924 3.747 4.604 5.598 7173 3.365 4.032 4.773 5.893 3.106 3.055 3.012 2.977 2.602 2.947 4.317 5.208 4.029 4.785 3.833 4.501 3.690 4.297 3.581 4.144 3.497 4.025 3.428 3.930 3.372 3.852 3.326 3.787 3.286 3.733 3.252 3.686 3.646 3.610 3.222 3.197 3.174 3.579 3.153 3.552 3.135 3.527 3.119 3.505 3.104 3.485 3.091 3.467 3.078 3.450 3.067 3.435 3.057 3.421 3.047 3.408 3.038 3.396 3.030 3.385 3.022 3.375 3.015 3.365 3.008 3.356 3.002 2.2.48 8.610 6.869 5.959 5.408 5.041 4.781 4.587 4.437 4.318 4.221 4.140 4.073 4.015 3.965 3.922 3.883 3.850 3.819 3.792 3.768 3.745 3.725 3.707 3.690 3.674 3.659 3.646 3.633 3.622 3.611 3.601 I X
It is suggested by college mathematics instructors that students spend 2 hours outside class studying for every hour in class. So, for a 4-credit-hour math class, students should spend least 8 hours (480 minutes) studying each week. The given data represent the time spent on task recorded (in minutes) for randomly selected students during the third week of the semester. Determine if the evidence suggests students may not, in fact, be following the advice. That is, does the evidence suggest students are studying less than 480 minutes each week? Use α = 0.05 level of significance. Note: A normal probability plot and boxplot indicate that the data come from a population that is normally distributed with no outliers. Complete parts (a) through (e) below. Click here to view the time spent on task data. Click here to view a table of critical t-values. (a) State the null and alternative hypotheses. Ho: min H₁: min (Type integers or decimals. Do not round.)
Transcribed Image Text:It is suggested by college mathematics instructors that students spend 2 hours outside class studying for every hour in class. So, for a 4-credit-hour math class, students should spend least 8 hours (480 minutes) studying each week. The given data represent the time spent on task recorded (in minutes) for randomly selected students during the third week of the semester. Determine if the evidence suggests students may not, in fact, be following the advice. That is, does the evidence suggest students are studying less than 480 minutes each week? Use α = 0.05 level of significance. Note: A normal probability plot and boxplot indicate that the data come from a population that is normally distributed with no outliers. Complete parts (a) through (e) below. Click here to view the time spent on task data. Click here to view a table of critical t-values. (a) State the null and alternative hypotheses. Ho: min H₁: min (Type integers or decimals. Do not round.)
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