0.9986 --------- ------ ------ - p- - ..-... s = 6.6. Determine if the population mean is different from 26 at the a = 0.01 level of significance. Complete parts (a) through (d) below. Click here to...


0.9986<br>--------- ------ ------<br>- p- - ..-...<br>s = 6.6. Determine if the population mean is different from 26 at the a = 0.01 level of significance. Complete parts (a) through (d) below.<br>Click here to view the standard normal distribution table (page 1).<br>Click here to view the standard normal distribution table (page 2).<br>Click here to view the table of critical t-values,<br>Area in<br>right tail<br>...<br>(a) Determine the null and alternative hypotheses.<br>t-Distribution<br>Area in Right Tail<br>Họ:<br>Degrees of<br>Freedom<br>H,:<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>(Type integers or decimals. Do not round.)<br>1.000<br>0.816<br>1.376<br>1.061<br>0.978<br>1.963<br>1.386<br>1.250<br>1.190<br>1.156<br>3.078<br>1.886<br>1.638<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>127.32 1<br>14.089<br>7453<br>318.309<br>22.327<br>10.215<br>Z173<br>5,893<br>636.619<br>31.599<br>12.924<br>8.610<br>6.869<br>3.<br>4.<br>0.765<br>0.741<br>0.727<br>0.941<br>0.920<br>1.533<br>1.476<br>5.841<br>4.604<br>4.032<br>5.598<br>4.773<br>0.718<br>0.906<br>1.134<br>1.440<br>1.943<br>2.447<br>2.612<br>2.517<br>2.449<br>2.398<br>3.143<br>2.998<br>2.896<br>2.821<br>3.707<br>4.317<br>5.208<br>4.785<br>5.959<br>0.711<br>0.706<br>0.703<br>0.700<br>0,896<br>0.889<br>0.883<br>0.879<br>1.119<br>1.108<br>1.100<br>1.415<br>1.397<br>1.383<br>1.895<br>1.860<br>1.833<br>2.365<br>2.306<br>2.262<br>3.499<br>3.355<br>3.250<br>4.029<br>3.833<br>3.690<br>5.408<br>5.041<br>4.781<br>8<br>4.501<br>4.297<br>4.144<br>10<br>1.093<br>1.372<br>1.812<br>2.228<br>2.359<br>2.764<br>3.169<br>3.581<br>4.587<br>11<br>0.697<br>0.695<br>0.694<br>0.692<br>0.876<br>1.088<br>1.363<br>1.356<br>1.350<br>1.345<br>1.341<br>1.796<br>2.201<br>2.179<br>2.160<br>2.145<br>2.131<br>2.328<br>2.303<br>2.282<br>2.264<br>2.718<br>3.106<br>3.497<br>3.428<br>3372<br>3.326<br>3.286<br>4.025<br>4.437<br>12<br>13<br>14<br>15<br>0.873<br>0.870<br>0.868<br>0.866<br>1.083<br>1.079<br>1.076<br>1.074<br>1.782<br>1.771<br>1.761<br>1.753<br>2.681<br>2.650<br>2.624<br>3.055<br>3.012<br>2.977<br>2.947<br>3.930<br>3.852<br>3.787<br>3.733<br>4.318<br>4.221<br>4.140<br>0.691<br>2.249<br>2.602<br>4.073<br>2.235<br>2.224<br>2.214<br>2.205<br>2.197<br>2.921<br>2.898<br>0.865<br>0.863<br>0.862<br>0.861<br>0.860<br>1.337<br>1.333<br>2.120<br>2.110<br>2.101<br>2.093<br>2.086<br>2.583<br>2.567<br>2.552<br>2.539<br>2.528<br>3.252<br>3.222<br>3.197<br>3.174<br>3.153<br>3.686<br>3.646<br>3.610<br>3.579<br>4.015<br>3.965<br>3.922<br>3.883<br>3.850<br>16<br>17<br>0.690<br>0.689<br>0.688<br>1.071<br>1.069<br>1.746<br>1.740<br>1.067<br>1.066<br>1.064<br>1.330<br>1.328<br>1.325<br>1.734<br>1.729<br>1.725<br>2.878<br>2.861<br>2.845<br>18<br>19<br>20<br>0.688<br>0.687<br>3.52<br>21<br>22<br>23<br>0.859<br>0.858<br>1.063<br>1.061<br>1.060<br>1.323<br>1.321<br>1.319<br>1.318<br>1.316<br>1.721<br>1.717<br>2.080<br>2.074<br>2.189<br>2.183<br>2.518<br>2.508<br>2.831<br>2.819<br>2.807<br>2.797<br>2.787<br>3.135<br>3.119<br>3,527<br>3.819<br>3.792<br>0.686<br>0.686<br>0.685<br>0.685<br>0,684<br>3.505<br>0.858<br>0.857<br>0,856<br>1.714<br>1.711<br>1.708<br>2.069<br>2.064<br>2.060<br>2.177<br>2.172<br>2.167<br>2.500<br>2.492<br>2.485<br>3.104<br>3.091<br>3.078<br>3.485<br>3.467<br>3.450<br>3.768<br>3.745<br>3.725<br>24<br>1.059<br>1.058<br>26<br>27<br>28<br>29<br>0.684<br>0.684<br>0.683<br>0.856<br>0.855<br>0.855<br>0.854<br>0.854<br>1.058<br>1.057<br>1.056<br>1.315<br>1.314<br>1.313<br>1.706<br>1.703<br>1.701<br>1.609<br>1.697<br>2.056<br>2.052<br>2.048<br>2.162<br>2.158<br>2.154<br>2.150<br>2.479<br>2473<br>2.779<br>2771<br>3.067<br>3.057<br>3.047<br>3.038<br>3.435<br>3.421<br>3.408<br>3.707<br>3.690<br>3.674<br>3.659<br>3,646<br>2.467<br>2.763<br>0.683<br>0.683<br>1.055<br>1.055<br>1.311<br>1.310<br>2.045<br>2.042<br>2.462<br>2.457<br>2.756<br>2.750<br>3.396<br>3.385<br>30<br>2.147<br>3.030<br>0.853<br>0.853<br>0.853<br>2.744<br>2.738<br>2.733<br>2.728<br>2.724<br>3.633<br>3.622<br>3.611<br>3.601<br>3.591<br>1.054<br>1.309<br>1.309<br>1.308<br>1.307<br>31<br>0.682<br>0.682<br>0.682<br>0.682<br>0.682<br>1.696<br>1.694<br>2.040<br>2.037<br>2.035<br>2.032<br>2.030<br>2.144<br>2.141<br>2.138<br>2.136<br>2.453<br>2.449<br>2.445<br>2.441<br>2.438<br>3.022<br>3.015<br>3.008<br>3.002<br>3.375<br>3.365<br>3.356<br>3.348<br>1.054<br>32<br>33<br>34<br>1.053<br>0.852<br>0.852<br>1.052<br>1.052<br>1.692<br>1.691<br>1.690<br>35<br>1.306<br>2.133<br>2.996<br>3.340<br>0.852<br>0.851<br>0.851<br>0.851<br>0.851<br>2.434<br>2.431<br>2.429<br>2.426<br>2.423<br>3.582<br>3.574<br>3.566<br>3.558<br>2990<br>36<br>37<br>0.681<br>0.681<br>0.681<br>0.681<br>0.681<br>1.052<br>1.051<br>1.051<br>1.050<br>1.050<br>1.306<br>38<br>39<br>40<br>1.305<br>1.304<br>1.304<br>1.688<br>1.687<br>1.686<br>1.685<br>2.028<br>2.026<br>2.024<br>2.023<br>2.131<br>2.129<br>2.127<br>2.125<br>2.123<br>2.719<br>2.715<br>2.712<br>2.708<br>2.985<br>2.980<br>2.976<br>3.333<br>3.326<br>3.319<br>3.313<br>3.307<br>1.303<br>1.684<br>2.021<br>2.704<br>2.971<br>3.551<br>50<br>60<br>70<br>0.679<br>0.679<br>0.678<br>0.678<br>0.677<br>0.849<br>0.848<br>0.847<br>0.846<br>0.846<br>1.047<br>1.045<br>1.044<br>1.043<br>1.042<br>1.299<br>1.296<br>1.294<br>1.292<br>1.291<br>1.676<br>1.671<br>1.667<br>1.664<br>2.109<br>2.099<br>2.093<br>2.088<br>2.084<br>2.403<br>2.390<br>2.381<br>2.374<br>2.368<br>3.496<br>3.460<br>3.435<br>3.416<br>3.402<br>2.009<br>2.678<br>2.000<br>1.994<br>1.990<br>1.987<br>2.660<br>2.648<br>2.639<br>2.632<br>2.937<br>2.915<br>2.899<br>2.887<br>2.878<br>3.261<br>3.232<br>3.211<br>3.195<br>3.183<br>80<br>90<br>1.662<br>2.081<br>2.056<br>2.054<br>2.364<br>2.330<br>3.174<br>100<br>1000<br>0.677<br>0.675<br>0.674<br>0.845<br>0.842<br>0,842<br>1.042<br>1.037<br>1,036<br>1.290<br>1.282<br>1.282<br>1.660<br>1.646<br>1.645<br>1.984<br>1.962<br>2.626<br>2.581<br>2.871<br>2.813<br>3.390<br>3.300<br>3.098<br>1.960<br>2.326<br>2.576<br>2.807<br>3.090<br>3.291<br>Degrees of 0.25<br>Freedom<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>t-Distribution<br>Area in Right Tail<br>Standard normal distribution table (page 2)<br>Standard normal distribution table (page 1)<br>Area<br>Area<br>Standard Nomal Distribution<br>Standard Normal Distribution<br>0.00<br>0.01<br>0.02<br>0.03<br>0.04<br>0.05<br>0.06<br>0.07<br>0.08<br>0.09<br>0.00<br>0.01<br>0.02<br>0,03<br>0.04<br>0.05<br>0.06<br>0.07<br>0.08<br>0.09<br>0.5040<br>0.5438<br>0.5832<br>0.6217<br>0.6591<br>0.5120<br>05517<br>0.5910<br>0.6293<br>0.6664<br>0.5239<br>0.5636<br>0.6026<br>0.6406<br>0.6772<br>0.5279<br>0.5675<br>0.6064<br>0.6443<br>0.6808<br>0.7157<br>0.7486<br>0.7794<br>0.8078<br>0.8340<br>0.0<br>0.5000<br>0.5398<br>0.5793<br>0.6179<br>0.6554<br>0.5080<br>0.5478<br>0.5871<br>0.6255<br>0.6628<br>0.5160<br>0.5557<br>0.5948<br>0.6331<br>0.6700<br>0.5199<br>0.5596<br>0.5987<br>0.6368<br>0.6736<br>0.5319<br>0.5714<br>0.6103<br>0.6480<br>0.6844<br>0,5359<br>0.5753<br>0.6141<br>0.6517<br>0.6879<br>0.0003<br>0.0005<br>0.0007<br>0.0010<br>0,0013<br>0.0003<br>0.0004<br>0.0006<br>0.0003<br>0.0004<br>0.0006<br>0.0008<br>0.0011<br>0.0003<br>0.0005<br>0.0007<br>0.0003<br>0.0005<br>0.0006<br>0.0003<br>0.0004<br>0.0006<br>0.0008<br>0.0012<br>0.0003<br>0.0004<br>0.0003<br>0.0004<br>0.0005<br>0.0008<br>0.0011<br>0.0002<br>0.0003<br>0.0005<br>0.0007<br>0.0010<br>0,0003<br>0.0004<br>-3.4<br>-33<br>-3,2<br>-3.1<br>-3.0<br>0.1<br>0.2<br>0.3<br>0.4<br>0.0006<br>0.0005<br>0.0008<br>0.0011<br>0.0009<br>0.0009<br>0.0013<br>0.0009<br>0.0007<br>0.0013<br>0.0012<br>0.0010<br>0.5<br>0.6<br>0.7<br>0.6915<br>0.7257<br>0.7580<br>0.7881<br>0.8159<br>0.6950<br>0.7291<br>0.7611<br>0.7910<br>0.8186<br>0.6985<br>0.7324<br>0.7642<br>0.7939<br>0,8212<br>0.7019<br>0.7357<br>0.7673<br>0.7967<br>0.8238<br>0.7054<br>0.7389<br>0.7704<br>0.7995<br>0.8264<br>0.7088<br>0.7422<br>0.7734<br>0 8023<br>0.7123<br>0.7454<br>0.7764<br>0.8051<br>0,8315<br>0.7190<br>0.7517<br>0.7823<br>0.7224<br>0.7549<br>0.7852<br>0,8133<br>0,8389<br>0.0019<br>0.0026<br>0.0035<br>0.0047<br>0.0062<br>0.0018<br>0.0025<br>0.0034<br>0.0045<br>0.0060<br>0.0018<br>0.0024<br>0.0033<br>0.0044<br>0.0059<br>0.0017<br>0.0023<br>0.0032<br>0,0043<br>0.0016<br>0.0023<br>0.0031<br>0.0041<br>0.0055<br>0.0016<br>0.0022<br>0.0030<br>0.0040<br>0.0054<br>0.0015<br>0.0021<br>0.0029<br>0.0015<br>0.0021<br>0.0028<br>0.0038<br>0.0051<br>0.0014<br>0.0020<br>0.0027<br>0.0037<br>0.0049<br>0.0014<br>0.0019<br>0.0026<br>0.0036<br>-29<br>-28<br>-2.7<br>0.8<br>0,8106<br>0.8365<br>-2.6<br>-2.5<br>0.0039<br>0.9<br>0,8289<br>0.0057<br>0.0052<br>0.0048<br>1.0<br>1.1<br>1.2<br>0.8413<br>0.8643<br>0.8849<br>0 9032<br>0.9192<br>0.8438<br>0.8665<br>0.8869<br>0,8461<br>0,8686<br>0.8888<br>0.8485<br>0.8708<br>0.8907<br>0.8508<br>0.8729<br>0.8925<br>0.8531<br>0.8749<br>0.8944<br>0.8554<br>0.8770<br>0.8962<br>0.9131<br>0.9279<br>0.8577<br>0.8790<br>0.8980<br>0.8599<br>0.8810<br>0.8997<br>09162<br>0,9306<br>0.8621<br>0.8830<br>0.90 15<br>0.0080<br>0.0104<br>0.0136<br>0.0174<br>0.0222<br>0.0075<br>0.0099<br>0.0129<br>0.0166<br>0.0212<br>0.0071<br>0.0094<br>0.0122<br>0.0158<br>0.0202<br>0.0068<br>0,0089<br>0.0116<br>0.0150<br>0.0192<br>0.0064<br>0.0084<br>0.0110<br>0.0143<br>0.0183<br>-24<br>0.0082<br>0.0107<br>0.0078<br>0,0102<br>0.0132<br>0.0170<br>0.0217<br>0.0073<br>0,0096<br>0.0069<br>0.0091<br>0.0119<br>0.0154<br>0.0197<br>23<br>-2.2<br>0.0066<br>0.0087<br>0.9049<br>0,9207<br>0.9082<br>0.9236<br>0.9099<br>0.9251<br>0.0139<br>0.0179<br>0.0228<br>0.0125<br>0.0162<br>0.0207<br>0.0113<br>0.0146<br>0.0188<br>0.9147<br>0.9292<br>0.9418<br>0.9525<br>1.3<br>1.4<br>0,9177<br>0,9319<br>0.9066<br>0.9115<br>0,9265<br>-2.1<br>-2.0<br>0.9222<br>1.5<br>1.6<br>1.7<br>0.9332<br>0.9452<br>0.9554<br>0.9345<br>0.9463<br>0.9564<br>0.9649<br>0,9719<br>0.9357<br>0.9474<br>0,9573<br>0.9656<br>0.9726<br>0.9370<br>0.9484<br>0.9582<br>0,9664<br>0.9732<br>0.9382<br>0.9495<br>0.9591<br>0.9671<br>0.9738<br>0,9394<br>0.9505<br>0.9599<br>0.9406<br>0.9515<br>0.9608<br>0.9429<br>0.9535<br>0.9625<br>0.9441<br>0.9545<br>0.9633<br>0.0287<br>0.0359<br>0.0446<br>0.0548<br>0,0668<br>0.0256<br>0.0322<br>0.0401<br>0.0495<br>0.0606<br>0.0250<br>0.0314<br>0.0392<br>0,0485<br>0.0594<br>0.0233<br>0.0294<br>0.0367<br>0.0455<br>0.0559<br>-1.9<br>-1.8<br>0.0281<br>0.0351<br>0.0436<br>0.0537<br>0.0655<br>0.0274<br>0.0344<br>0.0427<br>0.0268<br>0.0336<br>0.0418<br>0.0516<br>0.0630<br>0,0262<br>0.0329<br>0,0409<br>0.0505<br>0.0618<br>0.0244<br>0.0307<br>0.0384<br>0.0475<br>0.0582<br>0.0239<br>0.0301<br>0,0375<br>0.0465<br>0.0571<br>0.9616<br>-1.7<br>1.8<br>1.9<br>0,9641<br>0.9713<br>0.9678<br>0.9744<br>0,9686<br>0.9750<br>0.9693<br>0.9756<br>0.9699<br>0,9761<br>0.9706<br>0,9767<br>-1.6<br>-1.5<br>0.0526<br>0.0643<br>2.0<br>2.1<br>2.2<br>2.3<br>2.4<br>0.9772<br>0.9821<br>0.9861<br>0.9893<br>0.9918<br>0.9788<br>0.9834<br>0.9871<br>0.9901<br>0.9925<br>0.9778<br>0.9783<br>0.9830<br>0.9868<br>0,9898<br>0.9793<br>0.9838<br>0.9875<br>0.9904<br>0.9927<br>0.9798<br>0,9842<br>0.9878<br>0,9906<br>0.9929<br>0.9803<br>0.9846<br>0,9881<br>0.9812<br>0,9854<br>0.9887<br>0.9913<br>0.9934<br>0.9817<br>0.9857<br>0.9890<br>0.9808<br>0.0735<br>0.9826<br>0.9864<br>0,9896<br>0.9920<br>-14<br>-1.3<br>-1.2<br>-1.1<br>-1.0<br>0.0808<br>0.0968<br>0.1151<br>0.1357<br>0.1587<br>0.0793<br>0.0951<br>0.1131<br>0.1335<br>0.1562<br>0.0778<br>0.0024<br>0.1112<br>0.1314<br>0.1539<br>0.0764<br>0.0918<br>0.1093<br>0.1292<br>0.1515<br>0,0749<br>0.0901<br>0.1075<br>0.0721<br>0.0869<br>0.1038<br>0.0708<br>0.0853<br>0.1020<br>0.1210<br>0.1423<br>0.0604<br>0.0838<br>0.1003<br>0.1190<br>0.1401<br>0,0681<br>0.0823<br>0.0985<br>0.1170<br>0.1379<br>0.9850<br>0.0885<br>0.9884<br>0.9909<br>0.9931<br>0.9911<br>0.9932<br>0.9916<br>0.9936<br>0.1271<br>0.1492<br>0.1056<br>0.1251<br>0.1469<br>0.1230<br>0.1446<br>0.9922<br>2.5<br>2.6<br>2.7<br>0.9938<br>0.9953<br>0.9065<br>0.9940<br>0.9955<br>0.9966<br>0.9941<br>0.9956<br>0.9967<br>0,9976<br>0,9982<br>0.9943<br>0.9957<br>0.9968<br>0.9977<br>0.9945<br>0.9959<br>0.9969<br>0.9977<br>0.9984<br>0.9946<br>0,9960<br>0.9970<br>0.9978<br>0.9984<br>0.9948<br>0.9961<br>0.9971<br>0.9979<br>0.9085<br>0.9949<br>0.9962<br>0.9972<br>0.9079<br>0.9985<br>0.9951<br>0,9963<br>0.9973<br>0.9952<br>0,9964<br>0,9974<br>0.1814<br>0.2090<br>0,2389<br>0.2709<br>0.3050<br>0.1788<br>0.2061<br>0.2358<br>0.1762<br>0.2033<br>0.2327<br>0.2643<br>0.2981<br>0.1736<br>0,2005<br>0.2296<br>0.1635<br>0.1894<br>0,2177<br>0.2483<br>0.2810<br>0.1611<br>0.1867<br>02148<br>0.2451<br>0.2776<br>0.1711<br>0.1977<br>0.1685<br>-0.9<br>-08<br>0.1841<br>0,2119<br>0.2420<br>0.1660<br>0.1922<br>0.2206<br>0.1949<br>-0,7<br>-0,6<br>-0,5<br>0.2266<br>0.2578<br>0.2912<br>0,2236<br>0,9974<br>0.9981<br>0.9975<br>0,9982<br>0.2743<br>0.3085<br>0.2676<br>0.3015<br>0.2546<br>0.2877<br>0.2514<br>02843<br>0,9980<br>0.2611<br>2.8<br>2.9<br>0,9981<br>0,9986<br>0,2946<br>3.9983<br>0.9987<br>0,9000<br>0.9993<br>0.9995<br>0.9997<br>0.9990<br>0.9003<br>0.9995<br>0.9997<br>0.9998<br>0.3409<br>0.3783<br>0.4168<br>0.4562<br>0.4960<br>0.3336<br>0.3707<br>0.4090<br>0.4483<br>0.4880<br>0.3300<br>0.3669<br>0.4052<br>0.4443<br>0.3264<br>0.3632<br>0.4013<br>0.4404<br>0.4801<br>0.3192<br>0.3557<br>0,3936<br>0.4325<br>0.4721<br>0.3156<br>0,3520<br>0.3897<br>0.4286<br>0.4681<br>0.3446<br>3.0<br>3.1<br>3.2<br>0.9987<br>0.9001<br>0.9993<br>0.9987<br>0.9001<br>0.9994<br>0.9995<br>0.9997<br>-04<br>-0.3<br>-0.2<br>0.3372<br>0.3745<br>0.4129<br>0.4522<br>0.4920<br>0.3228<br>0.3594<br>0.3974<br>0.4364<br>0.4761<br>0.3121<br>0.3483<br>0.3859<br>0.9988<br>0.9988<br>0.9992<br>0.9994<br>0.9996<br>0.9997<br>0.9989<br>0.9989<br>0.9992<br>0.9994<br>0.9996<br>0.9997<br>0.9989<br>0.9992<br>0.9995<br>0.9996<br>0.9997<br>0.9990<br>0.9993<br>0.900<br>0.9994<br>0.9996<br>0.9997<br>0.3821<br>0.4207<br>0.4602<br>0.5000<br>0.0001<br>0.9994<br>0.9995<br>3.3<br>3.4<br>0.9995<br>0.9997<br>0.9996<br>0.9997<br>0.9996<br>0.9997<br>-0.1<br>-0.0<br>0.4247<br>0.4641<br>0.4840<br>0.05<br>0.09<br>0.02<br>0.03<br>0.04<br>0.05<br>0.07<br>0,00<br>0.01<br>0.02<br>0.03<br>0.04<br>0.06<br>0.07<br>0.08<br>0.00<br>0.01<br>0.06<br>0.08<br>0.09<br>e Pic Stitch<br>

Extracted text: 0.9986 --------- ------ ------ - p- - ..-... s = 6.6. Determine if the population mean is different from 26 at the a = 0.01 level of significance. Complete parts (a) through (d) below. Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). Click here to view the table of critical t-values, Area in right tail ... (a) Determine the null and alternative hypotheses. t-Distribution Area in Right Tail Họ: Degrees of Freedom H,: 0.25 0.20 0.15 0.10 0.05 0.025 0.02 0.01 0.005 0.0025 0.001 0.0005 (Type integers or decimals. Do not round.) 1.000 0.816 1.376 1.061 0.978 1.963 1.386 1.250 1.190 1.156 3.078 1.886 1.638 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 9.925 127.32 1 14.089 7453 318.309 22.327 10.215 Z173 5,893 636.619 31.599 12.924 8.610 6.869 3. 4. 0.765 0.741 0.727 0.941 0.920 1.533 1.476 5.841 4.604 4.032 5.598 4.773 0.718 0.906 1.134 1.440 1.943 2.447 2.612 2.517 2.449 2.398 3.143 2.998 2.896 2.821 3.707 4.317 5.208 4.785 5.959 0.711 0.706 0.703 0.700 0,896 0.889 0.883 0.879 1.119 1.108 1.100 1.415 1.397 1.383 1.895 1.860 1.833 2.365 2.306 2.262 3.499 3.355 3.250 4.029 3.833 3.690 5.408 5.041 4.781 8 4.501 4.297 4.144 10 1.093 1.372 1.812 2.228 2.359 2.764 3.169 3.581 4.587 11 0.697 0.695 0.694 0.692 0.876 1.088 1.363 1.356 1.350 1.345 1.341 1.796 2.201 2.179 2.160 2.145 2.131 2.328 2.303 2.282 2.264 2.718 3.106 3.497 3.428 3372 3.326 3.286 4.025 4.437 12 13 14 15 0.873 0.870 0.868 0.866 1.083 1.079 1.076 1.074 1.782 1.771 1.761 1.753 2.681 2.650 2.624 3.055 3.012 2.977 2.947 3.930 3.852 3.787 3.733 4.318 4.221 4.140 0.691 2.249 2.602 4.073 2.235 2.224 2.214 2.205 2.197 2.921 2.898 0.865 0.863 0.862 0.861 0.860 1.337 1.333 2.120 2.110 2.101 2.093 2.086 2.583 2.567 2.552 2.539 2.528 3.252 3.222 3.197 3.174 3.153 3.686 3.646 3.610 3.579 4.015 3.965 3.922 3.883 3.850 16 17 0.690 0.689 0.688 1.071 1.069 1.746 1.740 1.067 1.066 1.064 1.330 1.328 1.325 1.734 1.729 1.725 2.878 2.861 2.845 18 19 20 0.688 0.687 3.52 21 22 23 0.859 0.858 1.063 1.061 1.060 1.323 1.321 1.319 1.318 1.316 1.721 1.717 2.080 2.074 2.189 2.183 2.518 2.508 2.831 2.819 2.807 2.797 2.787 3.135 3.119 3,527 3.819 3.792 0.686 0.686 0.685 0.685 0,684 3.505 0.858 0.857 0,856 1.714 1.711 1.708 2.069 2.064 2.060 2.177 2.172 2.167 2.500 2.492 2.485 3.104 3.091 3.078 3.485 3.467 3.450 3.768 3.745 3.725 24 1.059 1.058 26 27 28 29 0.684 0.684 0.683 0.856 0.855 0.855 0.854 0.854 1.058 1.057 1.056 1.315 1.314 1.313 1.706 1.703 1.701 1.609 1.697 2.056 2.052 2.048 2.162 2.158 2.154 2.150 2.479 2473 2.779 2771 3.067 3.057 3.047 3.038 3.435 3.421 3.408 3.707 3.690 3.674 3.659 3,646 2.467 2.763 0.683 0.683 1.055 1.055 1.311 1.310 2.045 2.042 2.462 2.457 2.756 2.750 3.396 3.385 30 2.147 3.030 0.853 0.853 0.853 2.744 2.738 2.733 2.728 2.724 3.633 3.622 3.611 3.601 3.591 1.054 1.309 1.309 1.308 1.307 31 0.682 0.682 0.682 0.682 0.682 1.696 1.694 2.040 2.037 2.035 2.032 2.030 2.144 2.141 2.138 2.136 2.453 2.449 2.445 2.441 2.438 3.022 3.015 3.008 3.002 3.375 3.365 3.356 3.348 1.054 32 33 34 1.053 0.852 0.852 1.052 1.052 1.692 1.691 1.690 35 1.306 2.133 2.996 3.340 0.852 0.851 0.851 0.851 0.851 2.434 2.431 2.429 2.426 2.423 3.582 3.574 3.566 3.558 2990 36 37 0.681 0.681 0.681 0.681 0.681 1.052 1.051 1.051 1.050 1.050 1.306 38 39 40 1.305 1.304 1.304 1.688 1.687 1.686 1.685 2.028 2.026 2.024 2.023 2.131 2.129 2.127 2.125 2.123 2.719 2.715 2.712 2.708 2.985 2.980 2.976 3.333 3.326 3.319 3.313 3.307 1.303 1.684 2.021 2.704 2.971 3.551 50 60 70 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 2.109 2.099 2.093 2.088 2.084 2.403 2.390 2.381 2.374 2.368 3.496 3.460 3.435 3.416 3.402 2.009 2.678 2.000 1.994 1.990 1.987 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 80 90 1.662 2.081 2.056 2.054 2.364 2.330 3.174 100 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 2.626 2.581 2.871 2.813 3.390 3.300 3.098 1.960 2.326 2.576 2.807 3.090 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 Standard normal distribution table (page 2) Standard normal distribution table (page 1) Area Area Standard Nomal Distribution Standard Normal Distribution 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.00 0.01 0.02 0,03 0.04 0.05 0.06 0.07 0.08 0.09 0.5040 0.5438 0.5832 0.6217 0.6591 0.5120 05517 0.5910 0.6293 0.6664 0.5239 0.5636 0.6026 0.6406 0.6772 0.5279 0.5675 0.6064 0.6443 0.6808 0.7157 0.7486 0.7794 0.8078 0.8340 0.0 0.5000 0.5398 0.5793 0.6179 0.6554 0.5080 0.5478 0.5871 0.6255 0.6628 0.5160 0.5557 0.5948 0.6331 0.6700 0.5199 0.5596 0.5987 0.6368 0.6736 0.5319 0.5714 0.6103 0.6480 0.6844 0,5359 0.5753 0.6141 0.6517 0.6879 0.0003 0.0005 0.0007 0.0010 0,0013 0.0003 0.0004 0.0006 0.0003 0.0004 0.0006 0.0008 0.0011 0.0003 0.0005 0.0007 0.0003 0.0005 0.0006 0.0003 0.0004 0.0006 0.0008 0.0012 0.0003 0.0004 0.0003 0.0004 0.0005 0.0008 0.0011 0.0002 0.0003 0.0005 0.0007 0.0010 0,0003 0.0004 -3.4 -33 -3,2 -3.1 -3.0 0.1 0.2 0.3 0.4 0.0006 0.0005 0.0008 0.0011 0.0009 0.0009 0.0013 0.0009 0.0007 0.0013 0.0012 0.0010 0.5 0.6 0.7 0.6915 0.7257 0.7580 0.7881 0.8159 0.6950 0.7291 0.7611 0.7910 0.8186 0.6985 0.7324 0.7642 0.7939 0,8212 0.7019 0.7357 0.7673 0.7967 0.8238 0.7054 0.7389 0.7704 0.7995 0.8264 0.7088 0.7422 0.7734 0 8023 0.7123 0.7454 0.7764 0.8051 0,8315 0.7190 0.7517 0.7823 0.7224 0.7549 0.7852 0,8133 0,8389 0.0019 0.0026 0.0035 0.0047 0.0062 0.0018 0.0025 0.0034 0.0045 0.0060 0.0018 0.0024 0.0033 0.0044 0.0059 0.0017 0.0023 0.0032 0,0043 0.0016 0.0023 0.0031 0.0041 0.0055 0.0016 0.0022 0.0030 0.0040 0.0054 0.0015 0.0021 0.0029 0.0015 0.0021 0.0028 0.0038 0.0051 0.0014 0.0020 0.0027 0.0037 0.0049 0.0014 0.0019 0.0026 0.0036 -29 -28 -2.7 0.8 0,8106 0.8365 -2.6 -2.5 0.0039 0.9 0,8289 0.0057 0.0052 0.0048 1.0 1.1 1.2 0.8413 0.8643 0.8849 0 9032 0.9192 0.8438 0.8665 0.8869 0,8461 0,8686 0.8888 0.8485 0.8708 0.8907 0.8508 0.8729 0.8925 0.8531 0.8749 0.8944 0.8554 0.8770 0.8962 0.9131 0.9279 0.8577 0.8790 0.8980 0.8599 0.8810 0.8997 09162 0,9306 0.8621 0.8830 0.90 15 0.0080 0.0104 0.0136 0.0174 0.0222 0.0075 0.0099 0.0129 0.0166 0.0212 0.0071 0.0094 0.0122 0.0158 0.0202 0.0068 0,0089 0.0116 0.0150 0.0192 0.0064 0.0084 0.0110 0.0143 0.0183 -24 0.0082 0.0107 0.0078 0,0102 0.0132 0.0170 0.0217 0.0073 0,0096 0.0069 0.0091 0.0119 0.0154 0.0197 23 -2.2 0.0066 0.0087 0.9049 0,9207 0.9082 0.9236 0.9099 0.9251 0.0139 0.0179 0.0228 0.0125 0.0162 0.0207 0.0113 0.0146 0.0188 0.9147 0.9292 0.9418 0.9525 1.3 1.4 0,9177 0,9319 0.9066 0.9115 0,9265 -2.1 -2.0 0.9222 1.5 1.6 1.7 0.9332 0.9452 0.9554 0.9345 0.9463 0.9564 0.9649 0,9719 0.9357 0.9474 0,9573 0.9656 0.9726 0.9370 0.9484 0.9582 0,9664 0.9732 0.9382 0.9495 0.9591 0.9671 0.9738 0,9394 0.9505 0.9599 0.9406 0.9515 0.9608 0.9429 0.9535 0.9625 0.9441 0.9545 0.9633 0.0287 0.0359 0.0446 0.0548 0,0668 0.0256 0.0322 0.0401 0.0495 0.0606 0.0250 0.0314 0.0392 0,0485 0.0594 0.0233 0.0294 0.0367 0.0455 0.0559 -1.9 -1.8 0.0281 0.0351 0.0436 0.0537 0.0655 0.0274 0.0344 0.0427 0.0268 0.0336 0.0418 0.0516 0.0630 0,0262 0.0329 0,0409 0.0505 0.0618 0.0244 0.0307 0.0384 0.0475 0.0582 0.0239 0.0301 0,0375 0.0465 0.0571 0.9616 -1.7 1.8 1.9 0,9641 0.9713 0.9678 0.9744 0,9686 0.9750 0.9693 0.9756 0.9699 0,9761 0.9706 0,9767 -1.6 -1.5 0.0526 0.0643 2.0 2.1 2.2 2.3 2.4 0.9772 0.9821 0.9861 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Jun 11, 2022
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