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(a) Use the summary to determine the point estimate of the population mean and margin of error for the confidence interval.

(a) Use the summary to determine the point estimate of the population mean and margin of error for the confidence interval.

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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7. A study asked respondents, "If ever married, how old were you when you first married?" The results are summarized in the technology excerpt that follows. Complete parts (a) through (d) below. One-Sample T: AGEWED N Mean Variable StDev SE Mean 95.0% CI AGEWED 26910 23.370 4.714 0.029 (23.314, 23.426) 13 Click the icon to view the table of critical t-values. (a) Use the summary to determine the point estimate of the population mean and margin of error for the confidence interval. x= (Type an integer or a decimal. Do not round.) E = (Type an integer or a decimal. Do not round.) (b) Interpret the confidence interval. A. One can be 95% confident that the mean age of people when first married is 23.370 years. O B. One can be 95% confident that the mean age of people when first married is between 23.314 and 23.426 years. OC. There is a 5% probability that the mean age people when first married is between 23.314 and 23.426 years. D. There is a 95% probability that the mean age of people when first married is 23.370 years. (c) Verify the results by computing a 95% confidence interval with the information provided. Begin with the lower bound. 4.714 (Round to three decimal places as needed.) Next find the upper bound. 4.714 (2) (Round to three decimal places as needed.) (d) Why is the margin of error for this confidence interval so small? O A. The sample size used is very large. O B. The standard deviation is very small. C. The standard deviation is very large. O D. The mean is very small. 13: Table of Critical t-Values
Transcribed Image Text:7. A study asked respondents, "If ever married, how old were you when you first married?" The results are summarized in the technology excerpt that follows. Complete parts (a) through (d) below. One-Sample T: AGEWED N Mean Variable StDev SE Mean 95.0% CI AGEWED 26910 23.370 4.714 0.029 (23.314, 23.426) 13 Click the icon to view the table of critical t-values. (a) Use the summary to determine the point estimate of the population mean and margin of error for the confidence interval. x= (Type an integer or a decimal. Do not round.) E = (Type an integer or a decimal. Do not round.) (b) Interpret the confidence interval. A. One can be 95% confident that the mean age of people when first married is 23.370 years. O B. One can be 95% confident that the mean age of people when first married is between 23.314 and 23.426 years. OC. There is a 5% probability that the mean age people when first married is between 23.314 and 23.426 years. D. There is a 95% probability that the mean age of people when first married is 23.370 years. (c) Verify the results by computing a 95% confidence interval with the information provided. Begin with the lower bound. 4.714 (Round to three decimal places as needed.) Next find the upper bound. 4.714 (2) (Round to three decimal places as needed.) (d) Why is the margin of error for this confidence interval so small? O A. The sample size used is very large. O B. The standard deviation is very small. C. The standard deviation is very large. O D. The mean is very small. 13: Table of Critical t-Values
Area in right tail t-Distribution Area in Right Tail Degrees of Freedom 0.25 0.20 0.15 0.10 0.05 0.025 0.02 0.01 0.005 0.0025 0.001 0.0005 1.000 0.816 0.765 0.741 0.727 1.376 1.061 0.978 0.941 0.920 1.963 1.386 1.250 1.190 1.156 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 3.482 2.999 2.757 31.821 63.657 6.965 9.925 4.541 5.841 3.747 4.604 3.365 4.032 127.321 318.309 636.619 22.327 10.215 Z173 5.893 14.089 7.453 5.598 4.773 31.599 12.924 8.610 6.869 5 0.718 0.711 0.706 0.703 0.700 0.906 0.896 0.889 0.883 0.879 1.134 1.119 1.108 1.100 1.093 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 2.612 2.517 2.449 2.398 2.359 3.143 2.998 2.896 2.821 2.764 3.707 3.499 3.355 3.250 3.169 4.317 4.029 3.833 3.690 3.581 5.208 4.785 4.501 4.297 4.144 5.959 5.408 5.041 4.781 4.587 7 8 10 11 12 13 0.876 0.873 0.870 0.868 1.088 1.083 1.079 1.076 1.074 1.363 1.356 1.350 1.345 1.341 2.201 2.179 2.160 2.145 2.131 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 2.947 4.025 3.930 3.852 3.787 3.733 4.437 4.318 4.221 4.140 4.073 0.697 0.695 0.694 0.692 0.691 1.796 1.782 1.771 1.761 1.753 3.497 3.428 3.372 3.326 3.286 14 15 0.866 0.690 0.689 0.688 0.688 1.071 1.069 1.067 1.066 1.064 1.337 1.333 1.330 1.328 1.325 1.746 1.740 16 17 18 0.865 0.863 0.862 0.861 1.734 1.729 1.725 2.120 2.110 2.101 2.093 2.086 2.235 2.224 2.214 2.205 2.197 2.583 2.567 2.552 2.539 2.528 2.921 2.898 2.878 2.861 2.845 3.252 3.222 3.197 3.174 3.153 3.686 3.646 3.610 3.579 3.552 4.015 3.965 3.922 3.883 3.850 19 20 0.687 0,860 21 22 23 0.686 0.686 0.685 0.685 0.684 0.859 0.858 0.858 0.857 0.856 1.063 1.061 1.060 1.059 1.058 1.323 1.321 1.319 1.318 1.316 1.721 1.717 1.714 1.711 1.708 2.080 2.074 2.069 2.064 2.060 2.189 2.183 2.177 2.172 2.167 2.518 2.508 2.500 2.492 2.485 2.831 2.819 2.807 2.797 2.787 3.135 3.119 3.104 3.091 3.078 3.527 3.505 3.485 3.467 3.450 3.819 3.792 3.768 3.745 3.725 24 25 26 27 28 0.684 0.684 0.683 0.683 0.683 0.856 0.855 0.855 0.854 0.854 1.058 1.057 1.056 1.055 1.055 1.315 1.314 1.313 1.311 1.706 1.703 1.701 1.699 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 2.779 2.771 2.763 2.756 2.750 3.067 3.057 3.047 3.038 3.030 3.435 3.421 3.408 3.396 3.385 3.707 3.690 3.674 3.659 3.646 29 30 1.310 1.697 2.144 2.141 2.138 2.136 2.133 3.022 3.015 0.682 0.682 0.682 0.682 0.682 3.375 3.365 3.356 3.348 3.340 3.633 3.622 3.611 3.601 3.591 0.853 0.853 1.054 1.054 1.053 1.052 1.052 1.309 1.309 1.308 1.307 1.306 1.696 1.694 1.692 1.691 1.690 2.040 2.037 2.035 2.032 2.030 2.453 2.449 2.445 2.441 2.438 31 32 33 2.744 2.738 34 35 0.853 0.852 0.852 2.733 2.728 2.724 3.008 3.002 2.996 36 37 38 39 40 0.681 0.681 0.681 0.681 0.681 0.852 0.851 0.851 0.851 0.851 1.052 1.051 1.051 1.050 1.050 1.306 1.305 1.304 1.304 1.303 1.688 1.687 1.686 1.685 1.684 2.028 2.026 2.024 2.023 2.021 2.131 2.129 2.127 2.125 2.123 2.434 2.431 2.429 2.426 2.423 2.719 2.715 2.712 2.708 2.704 2.990 2.985 2.980 2.976 2.971 3.333 3.326 3.319 3.313 3.307 3.582 3.574 3.566 3.558 3.551 50 60 70 80 90 0.679 0.679 0.678 0.678 0.677 0.849 0.848 0.847 0.846 0.846 1.047 1.045 1.044 1.043 1.042 1.299 1.296 1.294 1.292 1.291 1.676 1.671 1.667 1.664 1.662 2.009 2.000 1.994 1.990 1.987 2.109 2.099 2.093 2.088 2.084 2.403 2.390 2.381 2.374 2.368 2.678 2.660 2.648 2.639 2.632 2.937 2.915 2.899 2.887 2.878 3.261 3.232 3.211 3.195 3.183 3.496 3.460 3.435 3.416 3.402 100 1000 0.677 0.675 0.674 0.845 0.842 0.842 1.042 1.037 1.036 1.290 1.282 1.282 1.660 1.646 1.645 1.984 1.962 1.960 2.081 2.056 2.054 2.364 2.330 2.326 2.626 2.581 2.576 2.871 2.813 2.807 3.174 3.098 3.090 3.390 3.300 3.291 Degrees of 0.25 Freedom 0.20 0.15 0.10 0.05 0.025 0.02 0.01 0.005 0.0025 0.001 0.0005 t-Distribution Area in Right Tail
Transcribed Image Text:Area in right tail t-Distribution Area in Right Tail Degrees of Freedom 0.25 0.20 0.15 0.10 0.05 0.025 0.02 0.01 0.005 0.0025 0.001 0.0005 1.000 0.816 0.765 0.741 0.727 1.376 1.061 0.978 0.941 0.920 1.963 1.386 1.250 1.190 1.156 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 3.482 2.999 2.757 31.821 63.657 6.965 9.925 4.541 5.841 3.747 4.604 3.365 4.032 127.321 318.309 636.619 22.327 10.215 Z173 5.893 14.089 7.453 5.598 4.773 31.599 12.924 8.610 6.869 5 0.718 0.711 0.706 0.703 0.700 0.906 0.896 0.889 0.883 0.879 1.134 1.119 1.108 1.100 1.093 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 2.612 2.517 2.449 2.398 2.359 3.143 2.998 2.896 2.821 2.764 3.707 3.499 3.355 3.250 3.169 4.317 4.029 3.833 3.690 3.581 5.208 4.785 4.501 4.297 4.144 5.959 5.408 5.041 4.781 4.587 7 8 10 11 12 13 0.876 0.873 0.870 0.868 1.088 1.083 1.079 1.076 1.074 1.363 1.356 1.350 1.345 1.341 2.201 2.179 2.160 2.145 2.131 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 2.947 4.025 3.930 3.852 3.787 3.733 4.437 4.318 4.221 4.140 4.073 0.697 0.695 0.694 0.692 0.691 1.796 1.782 1.771 1.761 1.753 3.497 3.428 3.372 3.326 3.286 14 15 0.866 0.690 0.689 0.688 0.688 1.071 1.069 1.067 1.066 1.064 1.337 1.333 1.330 1.328 1.325 1.746 1.740 16 17 18 0.865 0.863 0.862 0.861 1.734 1.729 1.725 2.120 2.110 2.101 2.093 2.086 2.235 2.224 2.214 2.205 2.197 2.583 2.567 2.552 2.539 2.528 2.921 2.898 2.878 2.861 2.845 3.252 3.222 3.197 3.174 3.153 3.686 3.646 3.610 3.579 3.552 4.015 3.965 3.922 3.883 3.850 19 20 0.687 0,860 21 22 23 0.686 0.686 0.685 0.685 0.684 0.859 0.858 0.858 0.857 0.856 1.063 1.061 1.060 1.059 1.058 1.323 1.321 1.319 1.318 1.316 1.721 1.717 1.714 1.711 1.708 2.080 2.074 2.069 2.064 2.060 2.189 2.183 2.177 2.172 2.167 2.518 2.508 2.500 2.492 2.485 2.831 2.819 2.807 2.797 2.787 3.135 3.119 3.104 3.091 3.078 3.527 3.505 3.485 3.467 3.450 3.819 3.792 3.768 3.745 3.725 24 25 26 27 28 0.684 0.684 0.683 0.683 0.683 0.856 0.855 0.855 0.854 0.854 1.058 1.057 1.056 1.055 1.055 1.315 1.314 1.313 1.311 1.706 1.703 1.701 1.699 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 2.779 2.771 2.763 2.756 2.750 3.067 3.057 3.047 3.038 3.030 3.435 3.421 3.408 3.396 3.385 3.707 3.690 3.674 3.659 3.646 29 30 1.310 1.697 2.144 2.141 2.138 2.136 2.133 3.022 3.015 0.682 0.682 0.682 0.682 0.682 3.375 3.365 3.356 3.348 3.340 3.633 3.622 3.611 3.601 3.591 0.853 0.853 1.054 1.054 1.053 1.052 1.052 1.309 1.309 1.308 1.307 1.306 1.696 1.694 1.692 1.691 1.690 2.040 2.037 2.035 2.032 2.030 2.453 2.449 2.445 2.441 2.438 31 32 33 2.744 2.738 34 35 0.853 0.852 0.852 2.733 2.728 2.724 3.008 3.002 2.996 36 37 38 39 40 0.681 0.681 0.681 0.681 0.681 0.852 0.851 0.851 0.851 0.851 1.052 1.051 1.051 1.050 1.050 1.306 1.305 1.304 1.304 1.303 1.688 1.687 1.686 1.685 1.684 2.028 2.026 2.024 2.023 2.021 2.131 2.129 2.127 2.125 2.123 2.434 2.431 2.429 2.426 2.423 2.719 2.715 2.712 2.708 2.704 2.990 2.985 2.980 2.976 2.971 3.333 3.326 3.319 3.313 3.307 3.582 3.574 3.566 3.558 3.551 50 60 70 80 90 0.679 0.679 0.678 0.678 0.677 0.849 0.848 0.847 0.846 0.846 1.047 1.045 1.044 1.043 1.042 1.299 1.296 1.294 1.292 1.291 1.676 1.671 1.667 1.664 1.662 2.009 2.000 1.994 1.990 1.987 2.109 2.099 2.093 2.088 2.084 2.403 2.390 2.381 2.374 2.368 2.678 2.660 2.648 2.639 2.632 2.937 2.915 2.899 2.887 2.878 3.261 3.232 3.211 3.195 3.183 3.496 3.460 3.435 3.416 3.402 100 1000 0.677 0.675 0.674 0.845 0.842 0.842 1.042 1.037 1.036 1.290 1.282 1.282 1.660 1.646 1.645 1.984 1.962 1.960 2.081 2.056 2.054 2.364 2.330 2.326 2.626 2.581 2.576 2.871 2.813 2.807 3.174 3.098 3.090 3.390 3.300 3.291 Degrees of 0.25 Freedom 0.20 0.15 0.10 0.05 0.025 0.02 0.01 0.005 0.0025 0.001 0.0005 t-Distribution Area in Right Tail
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