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...

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Extracted 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: ; Upper bound: (Use ascending order. Round to one decimal place as needed.)

Area in<br>right tail<br>Table VI<br>t-Distribution<br>Area in Right Tail<br>df<br>0.25<br>0.20<br>0.15<br>0.10<br>0.05<br>0.025<br>0.02<br>0.01<br>0.005<br>0.0025<br>0.001<br>0.0005<br>1<br>0.816<br>3<br>6.314<br>2.920<br>2.353<br>2.132<br>2.015<br>12.706<br>4.303<br>3.182<br>2.776<br>2.571<br>15.894<br>4.849<br>3.482<br>2.999<br>2.757<br>31.821<br>6.965<br>4.541<br>3.747<br>3.365<br>63.657<br>9.925<br>5.841<br>4.604<br>127.321<br>14.089<br>7.453<br>5.598<br>318.309<br>22.327<br>10.215<br>7.173<br>5.893<br>636.619<br>31.599<br>12.924<br>8.610<br>6.869<br>1.000<br>1.376<br>1.963<br>1.386<br>1.250<br>1.190<br>1.156<br>3.078<br>1.061<br>0.978<br>0.941<br>0.920<br>2<br>1.886<br>0.765<br>0.741<br>0.727<br>1.638<br>1.533<br>1.476<br>4<br>4.032<br>4.773<br>5.959<br>5.408<br>0.906<br>0.896<br>0.889<br>0.883<br>1.440<br>2.447<br>2.612<br>2.517<br>2.449<br>2.398<br>2.359<br>3.143<br>2.998<br>2.896<br>2.821<br>2.764<br>5.208<br>4.785<br>4.501<br>4.297<br>6<br>0.718<br>0.711<br>0.706<br>0.703<br>1.134<br>1.119<br>1.108<br>1.100<br>1.093<br>1.943<br>1.895<br>1.860<br>1.833<br>3.707<br>3.499<br>4.317<br>4.029<br>3.833<br>3.690<br>7<br>1.415<br>1.397<br>1.383<br>1.372<br>2.365<br>2.306<br>2.262<br>8<br>3.355<br>5.041<br>3.250<br>4.781<br>10<br>0.700<br>0.879<br>1.812<br>2.228<br>3.169<br>3.581<br>4.144<br>4.587<br>11<br>12<br>13<br>0.697<br>0.695<br>0.694<br>0.692<br>1.088<br>1.083<br>1.079<br>1.076<br>1.074<br>1.363<br>1.356<br>1.350<br>1.345<br>1.341<br>4.025<br>3.930<br>3.852<br>3.787<br>3.733<br>2.201<br>2.179<br>2.718<br>2.681<br>2.650<br>2.624<br>3.106<br>3.055<br>3.012<br>2.977<br>3.497<br>3.428<br>4.437<br>4.318<br>4.221<br>0.876<br>1.796<br>2.328<br>0.873<br>0.870<br>0.868<br>1.782<br>1.771<br>1.761<br>1.753<br>2.160<br>2.145<br>2.131<br>2.303<br>2.282<br>2.264<br>2.249<br>3.372<br>3.326<br>3.286<br>14<br>4.140<br>15<br>0.691<br>0.866<br>2.602<br>2.947<br>4.073<br>2.235<br>2.224<br>2.214<br>2.205<br>2.197<br>2.583<br>2.567<br>2.552<br>2.539<br>2.528<br>2.921<br>2.898<br>2.878<br>2.861<br>2.845<br>3.252<br>3.222<br>3.197<br>3.174<br>3.153<br>4.015<br>3.965<br>3.922<br>3.883<br>3.850<br>16<br>0.690<br>0.689<br>0.865<br>0.863<br>0.862<br>0.861<br>0.860<br>1.337<br>1.333<br>1.330<br>1.328<br>1.325<br>2.120<br>2.110<br>2.101<br>2.093<br>2.086<br>1.071<br>1.746<br>1.069<br>1.067<br>1.066<br>1.064<br>1.740<br>1.734<br>1.729<br>1.725<br>3.686<br>3.646<br>3.610<br>3.579<br>3.552<br>17<br>18<br>19<br>0.688<br>0.688<br>0.687<br>20<br>2.080<br>2.074<br>2.189<br>2.183<br>2.177<br>2.172<br>2.167<br>2.518<br>2.508<br>2.500<br>2.492<br>2.485<br>2.831<br>2.819<br>2.807<br>2.797<br>2.787<br>3.135<br>3.119<br>3.104<br>3.091<br>3.078<br>3.527<br>3.505<br>3.485<br>3.467<br>3.450<br>3.819<br>3.792<br>3.768<br>3.745<br>3.725<br>21<br>0.686<br>0.686<br>0.685<br>0.685<br>0.684<br>0.859<br>0.858<br>0.858<br>0.857<br>0.856<br>1.063<br>1.061<br>1.060<br>1.059<br>1.058<br>1.323<br>1.321<br>1.319<br>1.318<br>1.316<br>1.721<br>1.717<br>1.714<br>1.711<br>1.708<br>22<br>23<br>2.069<br>24<br>25<br>2.064<br>2.060<br>26<br>27<br>28<br>29<br>30<br>0.684<br>0.684<br>0.683<br>0.683<br>0.683<br>1.315<br>1.314<br>1.313<br>1.311<br>1.310<br>2.056<br>2.052<br>2.048<br>2.045<br>2.042<br>2.162<br>2.158<br>2.154<br>2.150<br>2.147<br>2.479<br>2.473<br>2.467<br>2.462<br>2.457<br>2.779<br>2.771<br>2.763<br>2.756<br>2.750<br>3.067<br>3.057<br>3.047<br>3.038<br>3.435<br>3.421<br>3.408<br>3.396<br>3.385<br>3.707<br>3.690<br>3.674<br>3.659<br>3.646<br>1.058<br>1.057<br>0.856<br>0.855<br>0.855<br>0.854<br>0.854<br>1.056<br>1.055<br>1.055<br>1.706<br>1.703<br>1.701<br>1.699<br>1.697<br>3.030<br>0.853<br>0.853<br>0.853<br>0.852<br>0.852<br>2.144<br>2.141<br>2.138<br>2.136<br>2.133<br>31<br>0.682<br>0.682<br>0.682<br>1.054<br>1.054<br>1.053<br>1.052<br>1.052<br>1.309<br>1.309<br>1.696<br>2.040<br>2.037<br>2.035<br>2.032<br>2.030<br>2.453<br>2.449<br>2.445<br>2.441<br>2.744<br>32<br>33<br>34<br>35<br>1.308<br>1.307<br>1.306<br>1.694<br>1.692<br>1.691<br>1.690<br>2.738<br>2.733<br>2.728<br>2.724<br>3.022<br>3.015<br>3.008<br>3.002<br>2.996<br>3.375<br>3.365<br>3.356<br>3.348<br>3.340<br>3.633<br>3.622<br>3.611<br>0.682<br>0.682<br>3.601<br>2.438<br>3.591<br>0.681<br>0.852<br>2.131<br>2.129<br>2.127<br>2.125<br>2.123<br>36<br>1.052<br>1.306<br>1.305<br>1.304<br>1.304<br>1.303<br>1.688<br>1.687<br>1.686<br>1.685<br>1.684<br>2.028<br>2.026<br>2.024<br>2.023<br>2.021<br>2.434<br>2.719<br>2.715<br>2.712<br>2.708<br>2.704<br>2.990<br>2.985<br>2.980<br>3.333<br>3.326<br>3.319<br>3.313<br>3.307<br>3.582<br>3.574<br>3.566<br>37<br>38<br>0.681<br>0.681<br>0.851<br>1.051<br>0.851 1.051<br>0.851 1.050<br>0.851<br>2.431<br>2.429<br>2.426<br>2.423<br>39<br>0.681<br>2.976<br>3.558<br>40<br>0.681<br>1.050<br>2.971<br>3.551<br>0.679<br>0.679<br>0.678<br>0.678<br>1.299<br>1.296<br>1.294<br>1.292<br>2.109<br>2.099<br>2.093<br>2.088<br>3.261<br>3.232<br>3.211<br>3.195<br>0.849<br>1.047<br>1.045<br>1.044<br>1.043<br>2.009<br>2.000<br>1.994<br>1.990<br>2.403<br>2.390<br>2.678<br>2.660<br>2.648<br>2.639<br>3.496<br>3.460<br>3.435<br>3.416<br>50<br>1.676<br>1.671<br>1.667<br>1.664<br>2.937<br>2.915<br>2.899<br>2.887<br>60<br>0.848<br>70<br>0.847<br>2.381<br>80<br>0.846<br>2.374<br>

Extracted 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 0.816 3 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 6.965 4.541 3.747 3.365 63.657 9.925 5.841 4.604 127.321 14.089 7.453 5.598 318.309 22.327 10.215 7.173 5.893 636.619 31.599 12.924 8.610 6.869 1.000 1.376 1.963 1.386 1.250 1.190 1.156 3.078 1.061 0.978 0.941 0.920 2 1.886 0.765 0.741 0.727 1.638 1.533 1.476 4 4.032 4.773 5.959 5.408 0.906 0.896 0.889 0.883 1.440 2.447 2.612 2.517 2.449 2.398 2.359 3.143 2.998 2.896 2.821 2.764 5.208 4.785 4.501 4.297 6 0.718 0.711 0.706 0.703 1.134 1.119 1.108 1.100 1.093 1.943 1.895 1.860 1.833 3.707 3.499 4.317 4.029 3.833 3.690 7 1.415 1.397 1.383 1.372 2.365 2.306 2.262 8 3.355 5.041 3.250 4.781 10 0.700 0.879 1.812 2.228 3.169 3.581 4.144 4.587 11 12 13 0.697 0.695 0.694 0.692 1.088 1.083 1.079 1.076 1.074 1.363 1.356 1.350 1.345 1.341 4.025 3.930 3.852 3.787 3.733 2.201 2.179 2.718 2.681 2.650 2.624 3.106 3.055 3.012 2.977 3.497 3.428 4.437 4.318 4.221 0.876 1.796 2.328 0.873 0.870 0.868 1.782 1.771 1.761 1.753 2.160 2.145 2.131 2.303 2.282 2.264 2.249 3.372 3.326 3.286 14 4.140 15 0.691 0.866 2.602 2.947 4.073 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 4.015 3.965 3.922 3.883 3.850 16 0.690 0.689 0.865 0.863 0.862 0.861 0.860 1.337 1.333 1.330 1.328 1.325 2.120 2.110 2.101 2.093 2.086 1.071 1.746 1.069 1.067 1.066 1.064 1.740 1.734 1.729 1.725 3.686 3.646 3.610 3.579 3.552 17 18 19 0.688 0.688 0.687 20 2.080 2.074 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 21 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 22 23 2.069 24 25 2.064 2.060 26 27 28 29 30 0.684 0.684 0.683 0.683 0.683 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 2.779 2.771 2.763 2.756 2.750 3.067 3.057 3.047 3.038 3.435 3.421 3.408 3.396 3.385 3.707 3.690 3.674 3.659 3.646 1.058 1.057 0.856 0.855 0.855 0.854 0.854 1.056 1.055 1.055 1.706 1.703 1.701 1.699 1.697 3.030 0.853 0.853 0.853 0.852 0.852 2.144 2.141 2.138 2.136 2.133 31 0.682 0.682 0.682 1.054 1.054 1.053 1.052 1.052 1.309 1.309 1.696 2.040 2.037 2.035 2.032 2.030 2.453 2.449 2.445 2.441 2.744 32 33 34 35 1.308 1.307 1.306 1.694 1.692 1.691 1.690 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 0.682 3.601 2.438 3.591 0.681 0.852 2.131 2.129 2.127 2.125 2.123 36 1.052 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 2.434 2.719 2.715 2.712 2.708 2.704 2.990 2.985 2.980 3.333 3.326 3.319 3.313 3.307 3.582 3.574 3.566 37 38 0.681 0.681 0.851 1.051 0.851 1.051 0.851 1.050 0.851 2.431 2.429 2.426 2.423 39 0.681 2.976 3.558 40 0.681 1.050 2.971 3.551 0.679 0.679 0.678 0.678 1.299 1.296 1.294 1.292 2.109 2.099 2.093 2.088 3.261 3.232 3.211 3.195 0.849 1.047 1.045 1.044 1.043 2.009 2.000 1.994 1.990 2.403 2.390 2.678 2.660 2.648 2.639 3.496 3.460 3.435 3.416 50 1.676 1.671 1.667 1.664 2.937 2.915 2.899 2.887 60 0.848 70 0.847 2.381 80 0.846 2.374

Jun 03, 2022

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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...

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