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Lower bound: 103.6 ; Upper bound: 114.4 (Use ascending order. Round to one decimal place as needed.) How does increasing the sample size affect the margin of error, E? O A. As the sample size increases, the margin of error decreases. O B. As the sample size increases, the margin of error stays the same. O C. As the sample size increases, the margin of error increases.

Lower bound: 103.6 ; Upper bound: 114.4 (Use ascending order. Round to one decimal place as needed.) How does increasing the sample size affect the margin of error, E? O A. As the sample size increases, the margin of error decreases. O B. As the sample size increases, the margin of error stays the same. O C. As the sample size increases, the margin of error increases.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Question 2 Part B

Area in right tail Table VI t-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 1.376 1.061 0.978 0.941 0.920 63.657 9.925 5,841 4.604 127.321 1.000 0.816 3 1.963 1.386 3.078 1.886 1.638 1.533 1.476 6.314 2.920 2.353 2.132 2.015 12.706 4.303 3.182 2.776 2.571 15.894 4.849 31.821 6.965 4.541 3.747 3.365 318.309 22.327 10.215 7.173 5.893 636.619 31.599 12.924 8.610 6.869 2 14.089 0.765 0.741 3.482 2.999 2.757 1.250 7.453 1.190 1.156 5.598 4.773 0.727 4.032 3.707 3.499 3.355 3.250 3.169 5.208 4.785 4.501 4.297 0.718 0.711 1.134 1.119 1.108 1.100 1.093 2.612 2.517 0.906 0.896 0.889 0.883 0.879 1.440 1.415 1.397 1.383 1.372 1.943 1.895 1.860 1.833 1.812 2.447 2.365 2.306 2.262 2.228 3.143 2.998 2.896 2.821 4.317 4.029 5.959 5.408 8 0.706 2.449 3,833 5.041 0.703 2.398 2.359 3.690 3.581 9 4.781 10 0.700 2.764 4.144 4.587 0.876 0.873 1.363 1.356 1.350 1.345 1.341 2.201 2.179 11 12 13 2.328 2.303 2.282 2.264 2.249 2.718 2.681 2.650 2.624 2.602 3.106 3.055 3.012 2.977 3.497 3.428 3.372 3.326 3.286 4.025 3.930 3.852 3.787 3.733 0.697 4.437 4.318 4.221 1.088 1.796 1.083 1.782 1.771 1.761 1.753 0.695 0.694 0.870 1.079 2.160 0.692 0.691 0.868 0.866 2.145 2.131 14 1.076 4.140 15 1.074 2.947 4.073 2.120 2.110 2.101 2.093 2.086 3.252 3.222 3.197 3.174 3.153 16 0.690 0.865 1.071 1.337 1.333 1.330 1.328 1.325 1.746 2.235 2.224 2.214 2.205 2.197 2.583 2.567 2.552 2.539 2.528 2.921 3.686 0.689 0.688 0.688 0.687 1.069 1.067 1.066 1.064 1.740 1.734 1.729 1.725 2,898 2.878 2.861 2.845 3.646 3.610 3.579 3.552 4.015 3.965 3.922 3.883 3.850 17 0.863 0.862 0.861 0.860 18 19 20 0.686 0.859 0.858 0.858 0.857 0.856 1.721 1.717 1.714 1.711 1.708 2.518 2.508 2.500 2.492 2.485 2.831 2.819 2.807 2.797 2.787 3.135 3.119 3.527 3.505 3.485 3.467 3.450 21 1.063 1.323 2.080 1.061 1.060 1.059 1.058 2.189 2.183 2.177 2.172 2.167 3.819 3.792 3.768 3.745 3.725 1.321 2.074 2.069 2.064 2.060 22 0.686 23 0.685 0.685 0.684 1.319 1.318 1.316 3.104 24 25 3.091 3.078 26 27 28 29 30 0.684 0.684 0.683 0.683 0.683 1.706 1.703 1.701 1.699 2.779 2.771 2.763 2.756 2.750 3.707 3.690 3.674 3.659 3.646 0.856 0.855 1.058 1.057 0.855 1.056 0.854 1.055 0.854 1.315 1.314 1.313 1.311 1.310 2.056 2.052 2.048 2.045 2.042 2.162 2.158 2.154 2.150 2.147 2.479 2.473 2.467 2.462 2.457 3.067 3.057 3.047 3.038 3.030 3.435 3.421 3.408 3.396 3.385 1.055 1.697 0.853 0.853 0.682 0.682 0.682 1.054 1.054 1.053 1.052 1.052 1.696 1.694 1.692 1.691 1.690 2.453 2.449 2.445 2.441 2.438 31 1.309 1.309 1.308 1.307 1.306 2.040 32 33 34 35 0.853 0.852 0.852 2.037 2.035 2.032 2.030 2.144 2.141 2.138 2.136 2.133 2.744 2.738 2.733 2.728 2.724 3.022 3.015 3.008 3.002 2.996 3.375 3.365 3.356 3.348 3.340 3.633 3.622 3.611 0.682 3.601 0.682 3.591 0.852 0.851 0.851 0.851 0.851 1.052 1.051 1.051 1.050 1.050 1.688 1.687 1.686 1.685 1.684 2.434 2.431 2.429 3.333 3.326 3.319 3.313 3.307 36 0.681 0.681 0.681 0.681 0.681 1.306 1.305 1.304 1.304 1.303 2.028 2.026 2.024 2.023 2.021 2.131 2.129 2.127 2.719 2.715 2.712 2.708 2.704 2.990 3.582 37 38 39 2.985 2.980 2.976 2.971 3.574 2.125 2.123 3.566 3.558 3.551 2.426 40 2.423 0.679 0.679 1.047 1.045 1.044 2.678 2.660 2.648 2.639 1.299 1.296 2.009 2.000 1.994 1.990 2.109 2.099 2.093 2.088 2.937 3.261 3.232 3.211 3.195 50 0.849 0.848 0.847 0.846 1.676 1.671 1.667 1.664 2.403 2.390 2.381 2.374 3.496 3.460 3.435 3.416 60 2.915 70 0.678 0.678 1.294 1.292 2.899 80 1.043 2.887
Transcribed Image Text:Area in right tail Table VI t-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 1.376 1.061 0.978 0.941 0.920 63.657 9.925 5,841 4.604 127.321 1.000 0.816 3 1.963 1.386 3.078 1.886 1.638 1.533 1.476 6.314 2.920 2.353 2.132 2.015 12.706 4.303 3.182 2.776 2.571 15.894 4.849 31.821 6.965 4.541 3.747 3.365 318.309 22.327 10.215 7.173 5.893 636.619 31.599 12.924 8.610 6.869 2 14.089 0.765 0.741 3.482 2.999 2.757 1.250 7.453 1.190 1.156 5.598 4.773 0.727 4.032 3.707 3.499 3.355 3.250 3.169 5.208 4.785 4.501 4.297 0.718 0.711 1.134 1.119 1.108 1.100 1.093 2.612 2.517 0.906 0.896 0.889 0.883 0.879 1.440 1.415 1.397 1.383 1.372 1.943 1.895 1.860 1.833 1.812 2.447 2.365 2.306 2.262 2.228 3.143 2.998 2.896 2.821 4.317 4.029 5.959 5.408 8 0.706 2.449 3,833 5.041 0.703 2.398 2.359 3.690 3.581 9 4.781 10 0.700 2.764 4.144 4.587 0.876 0.873 1.363 1.356 1.350 1.345 1.341 2.201 2.179 11 12 13 2.328 2.303 2.282 2.264 2.249 2.718 2.681 2.650 2.624 2.602 3.106 3.055 3.012 2.977 3.497 3.428 3.372 3.326 3.286 4.025 3.930 3.852 3.787 3.733 0.697 4.437 4.318 4.221 1.088 1.796 1.083 1.782 1.771 1.761 1.753 0.695 0.694 0.870 1.079 2.160 0.692 0.691 0.868 0.866 2.145 2.131 14 1.076 4.140 15 1.074 2.947 4.073 2.120 2.110 2.101 2.093 2.086 3.252 3.222 3.197 3.174 3.153 16 0.690 0.865 1.071 1.337 1.333 1.330 1.328 1.325 1.746 2.235 2.224 2.214 2.205 2.197 2.583 2.567 2.552 2.539 2.528 2.921 3.686 0.689 0.688 0.688 0.687 1.069 1.067 1.066 1.064 1.740 1.734 1.729 1.725 2,898 2.878 2.861 2.845 3.646 3.610 3.579 3.552 4.015 3.965 3.922 3.883 3.850 17 0.863 0.862 0.861 0.860 18 19 20 0.686 0.859 0.858 0.858 0.857 0.856 1.721 1.717 1.714 1.711 1.708 2.518 2.508 2.500 2.492 2.485 2.831 2.819 2.807 2.797 2.787 3.135 3.119 3.527 3.505 3.485 3.467 3.450 21 1.063 1.323 2.080 1.061 1.060 1.059 1.058 2.189 2.183 2.177 2.172 2.167 3.819 3.792 3.768 3.745 3.725 1.321 2.074 2.069 2.064 2.060 22 0.686 23 0.685 0.685 0.684 1.319 1.318 1.316 3.104 24 25 3.091 3.078 26 27 28 29 30 0.684 0.684 0.683 0.683 0.683 1.706 1.703 1.701 1.699 2.779 2.771 2.763 2.756 2.750 3.707 3.690 3.674 3.659 3.646 0.856 0.855 1.058 1.057 0.855 1.056 0.854 1.055 0.854 1.315 1.314 1.313 1.311 1.310 2.056 2.052 2.048 2.045 2.042 2.162 2.158 2.154 2.150 2.147 2.479 2.473 2.467 2.462 2.457 3.067 3.057 3.047 3.038 3.030 3.435 3.421 3.408 3.396 3.385 1.055 1.697 0.853 0.853 0.682 0.682 0.682 1.054 1.054 1.053 1.052 1.052 1.696 1.694 1.692 1.691 1.690 2.453 2.449 2.445 2.441 2.438 31 1.309 1.309 1.308 1.307 1.306 2.040 32 33 34 35 0.853 0.852 0.852 2.037 2.035 2.032 2.030 2.144 2.141 2.138 2.136 2.133 2.744 2.738 2.733 2.728 2.724 3.022 3.015 3.008 3.002 2.996 3.375 3.365 3.356 3.348 3.340 3.633 3.622 3.611 0.682 3.601 0.682 3.591 0.852 0.851 0.851 0.851 0.851 1.052 1.051 1.051 1.050 1.050 1.688 1.687 1.686 1.685 1.684 2.434 2.431 2.429 3.333 3.326 3.319 3.313 3.307 36 0.681 0.681 0.681 0.681 0.681 1.306 1.305 1.304 1.304 1.303 2.028 2.026 2.024 2.023 2.021 2.131 2.129 2.127 2.719 2.715 2.712 2.708 2.704 2.990 3.582 37 38 39 2.985 2.980 2.976 2.971 3.574 2.125 2.123 3.566 3.558 3.551 2.426 40 2.423 0.679 0.679 1.047 1.045 1.044 2.678 2.660 2.648 2.639 1.299 1.296 2.009 2.000 1.994 1.990 2.109 2.099 2.093 2.088 2.937 3.261 3.232 3.211 3.195 50 0.849 0.848 0.847 0.846 1.676 1.671 1.667 1.664 2.403 2.390 2.381 2.374 3.496 3.460 3.435 3.416 60 2.915 70 0.678 0.678 1.294 1.292 2.899 80 1.043 2.887
A simple random sample of size n is drawn from a population that is normally distributed. The sample mean, x, is found to be 109, and the sample standard deviation, s, is found to be 10. (a) Construct a 98% confidence interval about u if the sample size, n, is 17. (b) Construct a 98% confidence interval about u if the sample size, n, is 22. (c) Construct a 99% confidence interval about u if the sample size, n, is 17. (d) Could we have computed the confidence intervals in parts (a)-(c) if the population had not been normally distributed? Click the icon to view the table of areas under the t-distribution. (a) Construct a 98% confidence interval about u if the sample size, n, is 17. Lower bound: 102.7 ; Upper bound: 115.3 (Use ascending order. Round to one decimal place as needed.) (b) Construct a 98% confidence interval about u if the sample size, n, is 22. Lower bound: 103.6 ; Upper bound: 114.4 (Use ascending order. Round to one decimal place as needed.) How does increasing the sample size affect the margin of error, E? A. As the sample size increases, the margin of error decreases. B. As the sample size increases, the margin of error stays the same. O C. As the sample size increases, the margin of error increases.
Transcribed Image Text:A simple random sample of size n is drawn from a population that is normally distributed. The sample mean, x, is found to be 109, and the sample standard deviation, s, is found to be 10. (a) Construct a 98% confidence interval about u if the sample size, n, is 17. (b) Construct a 98% confidence interval about u if the sample size, n, is 22. (c) Construct a 99% confidence interval about u if the sample size, n, is 17. (d) Could we have computed the confidence intervals in parts (a)-(c) if the population had not been normally distributed? Click the icon to view the table of areas under the t-distribution. (a) Construct a 98% confidence interval about u if the sample size, n, is 17. Lower bound: 102.7 ; Upper bound: 115.3 (Use ascending order. Round to one decimal place as needed.) (b) Construct a 98% confidence interval about u if the sample size, n, is 22. Lower bound: 103.6 ; Upper bound: 114.4 (Use ascending order. Round to one decimal place as needed.) How does increasing the sample size affect the margin of error, E? A. As the sample size increases, the margin of error decreases. B. As the sample size increases, the margin of error stays the same. O C. As the sample size increases, the margin of error increases.
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