Homework Help is Here – Start Your Trial Now!
Math
Probability
Chemical compound data x (°C) y (grams) 0 6 4 6 15 14 13 12 30 21 24 26 485 45 45 38 39 60 47 49 54 75 55 58 57 fitted linear regression equation ŷ = 4.0794 +0.7327x $²=11.19 x=37.5 Sxx = 11812.50 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

Chemical compound data x (°C) y (grams) 0 6 4 6 15 14 13 12 30 21 24 26 485 45 45 38 39 60 47 49 54 75 55 58 57 fitted linear regression equation ŷ = 4.0794 +0.7327x $²=11.19 x=37.5 Sxx = 11812.50 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

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.3: Special Probability Density Functions
Problem 15E: Describe the standard normal distribution. What are its characteristics?
See similar textbooks
icon
Related questions
Question

Question is below and the data is attached: Please give final answers

The amounts of a chemical compound y that dissolved in 100 grams of water at various temperatures x were recorded. The data were coded and recorded in the accompanying table. Use this information to answer parts a and b.

a) Construct a​ 99% confidence interval for the average amount of chemical that will dissolve in 100 grams of water at 50C.

________ < μᵧ|50 < ____________ (Round to three decimal places as​ needed.)

b) Construct a​ 99% prediction interval for the amount of chemical that will dissolve in 100 grams of water at 50C.
___________ < y₀ < ___________ ​(Round to three decimal places as​ needed.)

Chemical compound data x (°C) y (grams) 0 6 4 6 15 14 13 12 30 21 24 26 485 45 45 38 39 60 47 49 54 75 55 58 57 fitted linear regression equation ŷ = 4.0794 +0.7327x $²=11.19 x=37.5 Sxx = 11812.50
Transcribed Image Text:Chemical compound data x (°C) y (grams) 0 6 4 6 15 14 13 12 30 21 24 26 485 45 45 38 39 60 47 49 54 75 55 58 57 fitted linear regression equation ŷ = 4.0794 +0.7327x $²=11.19 x=37.5 Sxx = 11812.50
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
Transcribed Image Text: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
Expert Solution
steps

Step by step

Solved in 2 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
SEE MORE TEXTBOOKS