Critical Values of the t-Distribution (page 1) a v 0.40 0.30 0.20 0.15 0.10 0.05 0.025 1 0.325 0.727 1.376 1.963 3.078 6.314 12.706 2 0.289 0.617 1.061 1.386 1.886 2.920 4.303 3 0.277 0.584 0.978 1.250 1.638 2.353 3.182 4 0.271 0.569 0.941 1.190 1.533 2.132 2.776 5 0.267 0.559 0.920 1.156 1.476 2.015 2.571 6 0.265 0.553 0.906 1.134 1.440 1.943 2.447 7 0.263 0.549 0.896 1.119 1.415 1.895 2.365 8 0.262 0.546 0.889 1.108 1.397 1.860 2.306 9 0.261 0.543 0.883 1.100 1.383 1.833 2.262 10 0.260 0.542 0.879 1.093 1.372 1.812 2.228 11 0.260 0.540 0.876 1.088 1.363 1.796 2.201 40 120 2222222222234828 0.259 0.539 0.873 1.083 1.356 1.782 2.179 13 0.259 0.538 0.870 1.079 1.350 1.771 2.160 0.258 0.537 0.868 1.076 1.345 1.761 2.145 0.258 0.536 0.866 1.074 1.341 1.753 2.131 16 0.258 0.535 0.865 1.071 1.337 1.746 2.120 0.257 0.534 0.863 1.069 1.333 1.740 2.110 0.257 0.534 0.862 1.067 1.330 1.734 2.101 0.257 0.533 0.861 1.066 1.328 1.729 2.093 20 0.257 0.533 0.860 1.064 1.325 1.725 2.086 21 0.257 0.532 0.859 1.063 1.323 1.721 2.080 0.256 0.532 0.858 1.061 1.321 1.717 2.074 0.256 0.532 0.858 1.060 1.319 1.714 2.069 0.256 0.531 0.857 1.059 1.318 1.711 2.064 25 0.256 0.531 0.856 1.058 1.316 1.708 2.060 26 0.256 0.531 0.856 1.058 1.315 1.706 2.056 27 0.256 0.531 0.855 1.057 1.314 1.703 2.052 0.256 0.530 0.855 1.056 1.313 1.701 2.048 29 0.256 0.530 0.854 1.055 1.311 1.699 2.045 30 0.256 0.530 0.854 1.055 1.310 1.697 2.042 0.255 0.529 0.851 1.050 1.303 1.684 2.021 60 0.254 0.527 0.848 1.045 1.296 1.671 2.000 0.254 0.526 0.845 1.041 1.289 1.658 1.980 0.253 0.524 0.842 1.036 1.282 1.645 1.960 e v 0.40 0.30 0.20 0.15 0.10 0.05 0.025 ¡A a Dr > > > с - 2 < > C + Critical Values of the t-Distribution (page 2) a 0.02 0.015 0.01 0.0075 0.005 0.0025 0.0005 1 15.894 21.205 31.821 42.433 63.656 127.321 636.578 2 4.849 5.643 6.965 8.073 9.925 14.089 31.600 3 3.482 3.896 4.541 5.047 5.841 7.453 12.924 4 2.999 3.298 3.747 4.088 4.604 5.598 8.610 5 2.757 3.003 3.365 3.634 4.032 4.773 6.869 6 2.612 2.829 3.143 3.372 3.707 4.317 5.959 7 2.517 2.715 2.998 3.203 3.499 4.029 5.408 8 2.449 2.634 2.896 3.085 3.355 3.833 5.041 2.398 2.574 2.821 2.998 3.250 3.690 4.781 2.359 2.527 2.764 2.932 3.169 3.581 4.587 2.328 2.491 2.718 2.879 3.106 3.497 4.437 2.303 2.461 2.681 2.836 3.055 3.428 4.318 2.282 2.436 2.650 2.801 3.012 3.372 4.221 2.264 2.415 2.624 2.771 2.977 3.326 4.140 2.249 2.397 2.602 2.746 2.947 3.286 4.073 2.235 2.382 2.583 2.724 2.921 3.252 4.015 2.224 2.368 2.567 2.706 2.898 3.222 3.965 2.214 2.356 2.552 2.689 2.878 3.197 3.922 120 2 2 2 2 9 8 285 2.205 2.346 2.539 2.674 2.861 3.174 3.883 2.197 2.336 2.528 2.661 2.845 3.153 3.850 2.189 2.328 2.518 2.649 2.831 3.135 3.819 2.183 2.320 2.508 2.639 2.819 3.119 3.792 2.177 2.313 2.500 2.629 2.807 3.104 3.768 24 2.172 2.307 2.492 2.620 2.797 3.091 3.745 2.167 2.301 2.485 2.612 2.787 3.078 3.725 2.162 2.296 2.479 2.605 2.779 3.067 3.707 2.158 2.291 2.473 2.598 2.771 3.057 3.689 28 2.154 2.286 2.467 2.592 2.763 3.047 3.674 29 2.150 2.282 2.462 2.586 2.756 3.038 3.660 30 2.147 2.278 2.457 2.581 2.750 3.030 3.646 40 2.123 2.250 2.423 2.542 2.704 2.971 3.551 60 2.099 2.223 2.390 2.504 2.660 2.915 3.460 2.076 2.196 2.358 2.468 2.617 2.860 3.373 2.054 2.170 2.326 2.432 2.576 2.807 3.290 0.02 0.015 0.01 0.0075 0.005 0.0025 0.0005 a A study was made on the amount of converted sugar in a certain process at various temperatures. The data were coded and recorded in the accompanying table. Use this information to answer parts a through c. Click here to view the table of temperatures versus converted sugars. Click here to view page 1 of the critical values of the t-distribution. Click here to view page 2 of the critical values of the t-distribution. a) Evaluate s². $² = (Round to two decimal places as needed.) b) Construct a 95% confidence interval for Bo

Critical Values of the t-Distribution (page 1) a v 0.40 0.30 0.20 0.15 0.10 0.05 0.025 1 0.325 0.727 1.376 1.963 3.078 6.314 12.706 2 0.289 0.617 1.061 1.386 1.886 2.920 4.303 3 0.277 0.584 0.978 1.250 1.638 2.353 3.182 4 0.271 0.569 0.941 1.190 1.533 2.132 2.776 5 0.267 0.559 0.920 1.156 1.476 2.015 2.571 6 0.265 0.553 0.906 1.134 1.440 1.943 2.447 7 0.263 0.549 0.896 1.119 1.415 1.895 2.365 8 0.262 0.546 0.889 1.108 1.397 1.860 2.306 9 0.261 0.543 0.883 1.100 1.383 1.833 2.262 10 0.260 0.542 0.879 1.093 1.372 1.812 2.228 11 0.260 0.540 0.876 1.088 1.363 1.796 2.201 40 120 2222222222234828 0.259 0.539 0.873 1.083 1.356 1.782 2.179 13 0.259 0.538 0.870 1.079 1.350 1.771 2.160 0.258 0.537 0.868 1.076 1.345 1.761 2.145 0.258 0.536 0.866 1.074 1.341 1.753 2.131 16 0.258 0.535 0.865 1.071 1.337 1.746 2.120 0.257 0.534 0.863 1.069 1.333 1.740 2.110 0.257 0.534 0.862 1.067 1.330 1.734 2.101 0.257 0.533 0.861 1.066 1.328 1.729 2.093 20 0.257 0.533 0.860 1.064 1.325 1.725 2.086 21 0.257 0.532 0.859 1.063 1.323 1.721 2.080 0.256 0.532 0.858 1.061 1.321 1.717 2.074 0.256 0.532 0.858 1.060 1.319 1.714 2.069 0.256 0.531 0.857 1.059 1.318 1.711 2.064 25 0.256 0.531 0.856 1.058 1.316 1.708 2.060 26 0.256 0.531 0.856 1.058 1.315 1.706 2.056 27 0.256 0.531 0.855 1.057 1.314 1.703 2.052 0.256 0.530 0.855 1.056 1.313 1.701 2.048 29 0.256 0.530 0.854 1.055 1.311 1.699 2.045 30 0.256 0.530 0.854 1.055 1.310 1.697 2.042 0.255 0.529 0.851 1.050 1.303 1.684 2.021 60 0.254 0.527 0.848 1.045 1.296 1.671 2.000 0.254 0.526 0.845 1.041 1.289 1.658 1.980 0.253 0.524 0.842 1.036 1.282 1.645 1.960 e v 0.40 0.30 0.20 0.15 0.10 0.05 0.025 ¡A a Dr > > > с - 2 < > C + Critical Values of the t-Distribution (page 2) a 0.02 0.015 0.01 0.0075 0.005 0.0025 0.0005 1 15.894 21.205 31.821 42.433 63.656 127.321 636.578 2 4.849 5.643 6.965 8.073 9.925 14.089 31.600 3 3.482 3.896 4.541 5.047 5.841 7.453 12.924 4 2.999 3.298 3.747 4.088 4.604 5.598 8.610 5 2.757 3.003 3.365 3.634 4.032 4.773 6.869 6 2.612 2.829 3.143 3.372 3.707 4.317 5.959 7 2.517 2.715 2.998 3.203 3.499 4.029 5.408 8 2.449 2.634 2.896 3.085 3.355 3.833 5.041 2.398 2.574 2.821 2.998 3.250 3.690 4.781 2.359 2.527 2.764 2.932 3.169 3.581 4.587 2.328 2.491 2.718 2.879 3.106 3.497 4.437 2.303 2.461 2.681 2.836 3.055 3.428 4.318 2.282 2.436 2.650 2.801 3.012 3.372 4.221 2.264 2.415 2.624 2.771 2.977 3.326 4.140 2.249 2.397 2.602 2.746 2.947 3.286 4.073 2.235 2.382 2.583 2.724 2.921 3.252 4.015 2.224 2.368 2.567 2.706 2.898 3.222 3.965 2.214 2.356 2.552 2.689 2.878 3.197 3.922 120 2 2 2 2 9 8 285 2.205 2.346 2.539 2.674 2.861 3.174 3.883 2.197 2.336 2.528 2.661 2.845 3.153 3.850 2.189 2.328 2.518 2.649 2.831 3.135 3.819 2.183 2.320 2.508 2.639 2.819 3.119 3.792 2.177 2.313 2.500 2.629 2.807 3.104 3.768 24 2.172 2.307 2.492 2.620 2.797 3.091 3.745 2.167 2.301 2.485 2.612 2.787 3.078 3.725 2.162 2.296 2.479 2.605 2.779 3.067 3.707 2.158 2.291 2.473 2.598 2.771 3.057 3.689 28 2.154 2.286 2.467 2.592 2.763 3.047 3.674 29 2.150 2.282 2.462 2.586 2.756 3.038 3.660 30 2.147 2.278 2.457 2.581 2.750 3.030 3.646 40 2.123 2.250 2.423 2.542 2.704 2.971 3.551 60 2.099 2.223 2.390 2.504 2.660 2.915 3.460 2.076 2.196 2.358 2.468 2.617 2.860 3.373 2.054 2.170 2.326 2.432 2.576 2.807 3.290 0.02 0.015 0.01 0.0075 0.005 0.0025 0.0005 a A study was made on the amount of converted sugar in a certain process at various temperatures. The data were coded and recorded in the accompanying table. Use this information to answer parts a through c. Click here to view the table of temperatures versus converted sugars. Click here to view page 1 of the critical values of the t-distribution. Click here to view page 2 of the critical values of the t-distribution. a) Evaluate s². $² = (Round to two decimal places as needed.) b) Construct a 95% confidence interval for Bo

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Temperature, x	Converted Sugar, y
1	8.2
1.1	7.9
1.2	8.7
1.3	9.7
1.4	9.3
1.5	8.6
1.6	8.5
1.7	10.5
1.8	9.2
1.9	9.5
2	10.6