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A simple random sample of size n is drawn. The sample mean, x, is found to be 18.2, and the sample standard deviation, s, is found to be 4.5. Click the icon to view the table of areas under the t-distribution. (a) Construct a 95% confidence interval about p if the sample size, n, is 35. Lower bound:; Upper bound: (Use ascending order. Round to two decimal places as needed.)

A simple random sample of size n is drawn. The sample mean, x, is found to be 18.2, and the sample standard deviation, s, is found to be 4.5. Click the icon to view the table of areas under the t-distribution. (a) Construct a 95% confidence interval about p if the sample size, n, is 35. Lower bound:; Upper bound: (Use ascending order. Round to two decimal places as needed.)

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
Section10.5: Comparing Sets Of Data
Problem 13PPS
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A simple random sample of size n is drawn. The sample mean, x, is found to be 18.2, and the sample standard deviation, s, is found to be 4.5. Click the icon to view the table of areas under the t-distribution. (a) Construct a 95% confidence interval about u if the sample size, n, is 35. Lower bound: ; Upper bound: (Use ascending order. Round to two decimal places as needed.)
Transcribed Image Text:A simple random sample of size n is drawn. The sample mean, x, is found to be 18.2, and the sample standard deviation, s, is found to be 4.5. Click the icon to view the table of areas under the t-distribution. (a) Construct a 95% confidence interval about u if the sample size, n, is 35. Lower bound: ; Upper bound: (Use ascending order. Round to two decimal places as needed.)
-Distribution Area in Right Tail df 0.25 0.20 0.15 0.10 0.05 0.025 0.02 0.01 0.005 0.0025 0.001 0.0005 1.963 1.386 1.376 3.078 12.706 15.894 31.821 6.965 4.541 63.657 127.321 318.309 22.327 10.215 7.173 5.893 1.000 6.314 2.920 636.619 31.599 12.924 8.610 6.869 2 0.816 1.061 1.886 4.303 4.849 9.925 5.841 4.604 4.032 14.089 0.765 2.353 2.132 3.482 0.978 0.941 1.250 1.190 1.156 1.638 1.533 3.182 2.776 2.571 7.453 5.598 4 0.741 2.999 3.747 0.727 0.920 1.476 2.015 2.757 3.365 4.773 5.959 5.408 0.718 0.906 0.896 1.134 1.119 1.108 1.943 1.895 2.447 2.365 2.612 2.517 3.143 2.998 3.707 3.499 3.355 3.250 3.169 4.317 4.029 3.833 3.690 3.581 6 0.711 1.440 5.208 1.415 4.785 8 0.706 0.703 0.889 1.397 1.860 2.306 2.262 2.228 2.449 2.398 2.896 2.821 4.501 4.297 5.041 0.883 1.100 1.383 1.833 4.781 10 0.700 0.879 1.093 1.372 1.812 2.359 2.764 4.144 4.587 1.796 1.782 3.106 3.055 4.437 4.318 11 0.697 0.876 1.088 1.363 2.201 2.328 2.303 2.282 2.718 2.681 2.650 2.624 2.602 3.497 3.428 3.372 3.326 4.025 3.930 12 0.695 0.873 1.083 1.356 2.179 13 14 0.694 0.692 0.870 1.079 1.076 1.350 1.771 1.761 1.753 2.160 3.012 3.852 3.787 3.733 4.221 0.868 1.345 2.145 2.264 2.977 4.140 15 0.691 0.866 1.074 1.341 2.131 2.249 2.947 3.286 4.073 1.071 1.069 2.235 3.252 3.222 3.197 16 0.690 0.865 0.863 0.862 0.861 0.860 1.337 1.746 2.120 2.583 2.567 2.921 3.686 4.015 3.965 3.922 3.883 3.850 0.689 1.740 2.110 2.898 17 18 1.333 1.330 1.328 1.325 2.224 2.214 3.646 3.610 0.688 1.067 1.734 2.101 2.552 2.878 19 20 2.093 2.086 3.174 3.153 0.688 1.066 1.729 2.205 2.539 2.861 3.579 0.687 1.064 1.725 2.197 2.528 2.845 3.552 0.859 0.858 1.721 1.717 1.714 3.819 3.792 3.768 21 0.686 0.686 0.685 1.063 1.323 2.080 2.189 2.183 2.177 2.518 2.831 2.819 2.807 2.797 2.787 3.135 3.119 3.527 22 1.061 1.060 1.321 1.319 1.318 1.316 2.074 2.069 2.508 2.500 2.492 2.485 3.505 23 0.858 0.857 0.856 3.104 3.485 24 0.685 0.684 1.059 1.711 2.064 2.172 3.091 3.467 3.745 25 1.058 1.708 2.060 2.167 3.078 3.450 3.725 2.162 2.479 2.473 26 0.684 0.856 1.058 1.315 1.314 1.313 1.706 1.703 2.056 2.052 2.779 3.067 3.057 3.435 3.707 27 0.684 0.855 1.057 2.158 2.771 2.763 2.756 2.750 3.421 3.690 0.683 0.683 0.683 0.855 0.854 0.854 3.674 3.659 3.646 1.056 2.154 28 29 30 1.701 1.699 1.697 2.048 2.045 2.042 2.467 2.462 2.457 3.047 3.038 3.030 3.408 3.396 3.385 1.055 1.311 2.150 1.055 1.310 2.147 0.682 0.682 0.853 0.853 2.744 2.738 1.696 31 32 1.054 1.054 1.309 1.309 2.040 2.037 2.035 2.144 2.141 2.138 2.453 2.449 2.445 3.022 3.015 3.375 3.365 3.633 3.622 1.694 3.356 3.348 3.340 1.692 33 34 0.682 0.682 0.682 0.853 0.852 0.852 1.053 1.052 1.052 1.308 1.307 2.733 2.728 3.008 3.002 2.996 3.611 3.601 3.591 1.691 2.032 2.136 2.441 35 1.306 1.690 2.030 2.133 2.438 2.724 0.852 0.851 1.052 1.051 3.333 3.326 36 0.681 1.306 1.688 2.028 2.026 2.131 2.129 2.434 2,719 2.715 2.712 2.708 2.990 2.985 3.582 2.431 2.429 2.426 37 0.681 1.305 1.687 3.574 1.051 1.050 1.050 38 0.681 0.851 0.851 0.851 1.304 1.686 2.024 2.023 2.127 2.125 2.123 2.980 2.976 3.319 3.566 39 0.681 1.304 1.685 3.313 3.558 40 0.681 1.303 1.684 2.021 2.423 2.704 2.971 3.307 3.551 50 60 3.496 3.460 0.679 0.849 1.047 1.299 1.296 1.676 2.009 2.000 2.109 2.099 2.403 2.678 2.660 2.937 3.261 0.679 0.848 1.045 1.671 2.390 2.915 3.232 70 0.678 0.847 1.044 1.043 1.042 1.294 1.667 1.994 2.093 2.381 2.648 2.639 2.632 2.899 3.211 1.664 1.662 3.435 3.416 3.402 80 0.678 2.887 3.195 1.292 1.291 1.990 2.088 2.374 0.846 0.846 90 0.677 1.987 2.084 2.368 2.878 3.183 1.042 1.037 1.036 3.174 3.098 3.090 100 0.677 0.845 1.290 1.282 1.282 1.660 1.984 2.081 2.364 2.626 2.581 2.576 2.871 3.390 2.813 2.807 3.300 3.291 1000 0.675 0.674 0.842 1.646 1.962 2.056 2.054 2.330 0.842 1.645 1.960 2.326 df 0.25 0.20 0.15 0.10 0.05 0.025 0.02 0.01 0.005 0.0025 0.001 0.0005
Transcribed Image Text:-Distribution Area in Right Tail df 0.25 0.20 0.15 0.10 0.05 0.025 0.02 0.01 0.005 0.0025 0.001 0.0005 1.963 1.386 1.376 3.078 12.706 15.894 31.821 6.965 4.541 63.657 127.321 318.309 22.327 10.215 7.173 5.893 1.000 6.314 2.920 636.619 31.599 12.924 8.610 6.869 2 0.816 1.061 1.886 4.303 4.849 9.925 5.841 4.604 4.032 14.089 0.765 2.353 2.132 3.482 0.978 0.941 1.250 1.190 1.156 1.638 1.533 3.182 2.776 2.571 7.453 5.598 4 0.741 2.999 3.747 0.727 0.920 1.476 2.015 2.757 3.365 4.773 5.959 5.408 0.718 0.906 0.896 1.134 1.119 1.108 1.943 1.895 2.447 2.365 2.612 2.517 3.143 2.998 3.707 3.499 3.355 3.250 3.169 4.317 4.029 3.833 3.690 3.581 6 0.711 1.440 5.208 1.415 4.785 8 0.706 0.703 0.889 1.397 1.860 2.306 2.262 2.228 2.449 2.398 2.896 2.821 4.501 4.297 5.041 0.883 1.100 1.383 1.833 4.781 10 0.700 0.879 1.093 1.372 1.812 2.359 2.764 4.144 4.587 1.796 1.782 3.106 3.055 4.437 4.318 11 0.697 0.876 1.088 1.363 2.201 2.328 2.303 2.282 2.718 2.681 2.650 2.624 2.602 3.497 3.428 3.372 3.326 4.025 3.930 12 0.695 0.873 1.083 1.356 2.179 13 14 0.694 0.692 0.870 1.079 1.076 1.350 1.771 1.761 1.753 2.160 3.012 3.852 3.787 3.733 4.221 0.868 1.345 2.145 2.264 2.977 4.140 15 0.691 0.866 1.074 1.341 2.131 2.249 2.947 3.286 4.073 1.071 1.069 2.235 3.252 3.222 3.197 16 0.690 0.865 0.863 0.862 0.861 0.860 1.337 1.746 2.120 2.583 2.567 2.921 3.686 4.015 3.965 3.922 3.883 3.850 0.689 1.740 2.110 2.898 17 18 1.333 1.330 1.328 1.325 2.224 2.214 3.646 3.610 0.688 1.067 1.734 2.101 2.552 2.878 19 20 2.093 2.086 3.174 3.153 0.688 1.066 1.729 2.205 2.539 2.861 3.579 0.687 1.064 1.725 2.197 2.528 2.845 3.552 0.859 0.858 1.721 1.717 1.714 3.819 3.792 3.768 21 0.686 0.686 0.685 1.063 1.323 2.080 2.189 2.183 2.177 2.518 2.831 2.819 2.807 2.797 2.787 3.135 3.119 3.527 22 1.061 1.060 1.321 1.319 1.318 1.316 2.074 2.069 2.508 2.500 2.492 2.485 3.505 23 0.858 0.857 0.856 3.104 3.485 24 0.685 0.684 1.059 1.711 2.064 2.172 3.091 3.467 3.745 25 1.058 1.708 2.060 2.167 3.078 3.450 3.725 2.162 2.479 2.473 26 0.684 0.856 1.058 1.315 1.314 1.313 1.706 1.703 2.056 2.052 2.779 3.067 3.057 3.435 3.707 27 0.684 0.855 1.057 2.158 2.771 2.763 2.756 2.750 3.421 3.690 0.683 0.683 0.683 0.855 0.854 0.854 3.674 3.659 3.646 1.056 2.154 28 29 30 1.701 1.699 1.697 2.048 2.045 2.042 2.467 2.462 2.457 3.047 3.038 3.030 3.408 3.396 3.385 1.055 1.311 2.150 1.055 1.310 2.147 0.682 0.682 0.853 0.853 2.744 2.738 1.696 31 32 1.054 1.054 1.309 1.309 2.040 2.037 2.035 2.144 2.141 2.138 2.453 2.449 2.445 3.022 3.015 3.375 3.365 3.633 3.622 1.694 3.356 3.348 3.340 1.692 33 34 0.682 0.682 0.682 0.853 0.852 0.852 1.053 1.052 1.052 1.308 1.307 2.733 2.728 3.008 3.002 2.996 3.611 3.601 3.591 1.691 2.032 2.136 2.441 35 1.306 1.690 2.030 2.133 2.438 2.724 0.852 0.851 1.052 1.051 3.333 3.326 36 0.681 1.306 1.688 2.028 2.026 2.131 2.129 2.434 2,719 2.715 2.712 2.708 2.990 2.985 3.582 2.431 2.429 2.426 37 0.681 1.305 1.687 3.574 1.051 1.050 1.050 38 0.681 0.851 0.851 0.851 1.304 1.686 2.024 2.023 2.127 2.125 2.123 2.980 2.976 3.319 3.566 39 0.681 1.304 1.685 3.313 3.558 40 0.681 1.303 1.684 2.021 2.423 2.704 2.971 3.307 3.551 50 60 3.496 3.460 0.679 0.849 1.047 1.299 1.296 1.676 2.009 2.000 2.109 2.099 2.403 2.678 2.660 2.937 3.261 0.679 0.848 1.045 1.671 2.390 2.915 3.232 70 0.678 0.847 1.044 1.043 1.042 1.294 1.667 1.994 2.093 2.381 2.648 2.639 2.632 2.899 3.211 1.664 1.662 3.435 3.416 3.402 80 0.678 2.887 3.195 1.292 1.291 1.990 2.088 2.374 0.846 0.846 90 0.677 1.987 2.084 2.368 2.878 3.183 1.042 1.037 1.036 3.174 3.098 3.090 100 0.677 0.845 1.290 1.282 1.282 1.660 1.984 2.081 2.364 2.626 2.581 2.576 2.871 3.390 2.813 2.807 3.300 3.291 1000 0.675 0.674 0.842 1.646 1.962 2.056 2.054 2.330 0.842 1.645 1.960 2.326 df 0.25 0.20 0.15 0.10 0.05 0.025 0.02 0.01 0.005 0.0025 0.001 0.0005
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