Answer Happy

The measurements given below were recorded for the drying time, in hours, of a certain brand of latex paint. Assuming that the measurements represent a random sample from a normal population, find a 95% prediction interval for the drying time for the next trial of the paint. D 3.3 4.1 3.4 4.7 5.5 4.8 3.2 58 5.7 4.8 34 4.7 The prediction interval is<x< (Round to two decimal places as needed.) 2.6 35 5.5 Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. Click here to view page 1 of the table of critical values of the t-distribution. Click here to view page 2 of the table of critical values of the t-distribution.
Standard Normal Distribution Table (Page 1) Arga Areas under the Normal Curve .01 .03 .04 .05 .06 .07 .08 .09 z 0.0002 -3.4 0.0003 -3.3 0.0005 -3.2 0.0007 -3.1 0.0011 0.0010 0.0010 -3.0 0.0036 -2.6 .00 .02 -3.4 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 -3.3 0.0005 0.0005 0.0005 0.0004 0.0004 0.0004 0.0004 0.0004 0.0004 -3.2 0.0007 0.0007 0.0006 0.0006 0.0006 0.0006 0.0006 0.0005 0.0005 -3.1 0.0010 0.0009 0.0009 0.0009 0.0008 0.0008 0.0008 0.0008 0.0007 -3.0 0.0013 0.0013 0.0013 0.0012 0.0012 0.0011 0.0011 -2.9 0.0019 0.0018 0.0018 0.0017 0.0016 0.0016 0.0015 0.0015 0.0014 0.0014 -2.9 -2.8 0.0026 0.0025 0.0024 0.0023 0.0023 0.0022 0.0021 0.0021 0.0020 0.0019 -2.8 -2.7 0.0035 0.0034 0.0033 0.0032 0.0031 0.0030 0.0029 0.0028 0.0027 0.0026 -2.7 -2.6 0.0047 0.0045 0.0044 0.0043 0.0041 0.0040 0.0039 0.0038 0.0037 -2.5 0.0062 0.0060 0.0059 0.0057 0.0055 0.0054 0.0052 0.0051 0.0049 -2.4 0.0082 0.0080 0.0078 0.0075 0.0073 0.0071 0.0069 0.0068 0.0066 -2.3 0.0107 0.0104 0.0102 0.0099 0.0096 0.0094 0.0091 0.0089 0.0087 -2.2 0.0139 0.0136 0.0132 0.0129 0.0125 0.0122 0.0119 0.0116 0.0113 0.0110 -2.2 -2.1 0.0179 0.0174 0.0170 0.0166 0.0162 0.0158 0.0154 0.0150 0.0146 0.0143 -2.1 -2.0 0.0228 0.0222 0.0217 0.0212 0.0207 0.0202 0.0197 0.0192 0.0188 0.0183 -2.0 -1.9 0.0287 0.0281 0.0274 0.0268 0.0262 0.0233 -1.9 -1.8 0.0359 0.0351 0.0344 0.0336 0.0329 0.0322 0.0314 0.0307 0.0301 0.0294 -1.8 0.0401 0.0392 0.0384 0.0375 0.0367 -1.7 0.0465 0.0455 -1.6 0.0048 -2.5 0.0064 -2.4 0.0084 -2.3 0.0256 0.0250 0.0244 0.0239 -1.7 0.0446 0.0436 0.0427 0.0418 0.0409 0.0516 0.0505 0.0495 0.0630 0.0618 0.0606 0.0571 0.0559 -1.5 -1.6 0.0548 0.0537 0.0526 0.0485 0.0475 -1.5 0.0668 0.0655 0.0643 0.0594 0.0582 -1.4 0.0808 0.0793 0.0778 0.0764 0.0749 0.0735 0.0721 0.0708 0.0694 0.0681 -1.4 -1.3 0.0968 0.0951 0.0934 0.0918 0.0901 0.0885 0.0869 0.0853 0.0838 0.0823 -1.3 -1.2 0.1151 0.1131 0.1112 0.1093 0.1075 0.1056 0.1038 0.1020 0.1003 0.0985 -1.2 -1.1 0.1357 0.1335 0.1314 0.1292 0.1271 0.1251 0.1230 0.1210 0.1190 0.1170 -1.1 -1.0 0.1587 0.1562 0.1539 0.1515 0.1492 0.1469 0.1446 0.1423 0.1401 0.1379 -1.0 -0.9 0.1841 0.1814 0.1788 0.1762 0.1736 0.1711 0.1685 0.1660 0.1635 0.1611 -0.9 -0.8 0.2119 0.2090 0.2061 0.2033 0.2005 0.1977 0.1949 0.1922 0.1894 0.1867 -0.8 -0.7 0.2420 0.2389 0.2358 0.2327 0.2296 0.2266 0.2236 0.2206 0.2177 0.2148 -0.7 -0.6 0.2743 0.2709 0.2676 0.2643 0.2611 0.2578 0.2546 0.2514 0.2483 0.2451 -0.6 -0.5 0.3085 0.3050 0.3015 0.2981 0.2946 0.2912 0.2877 0.2843 -0.4 0.3446 0.3409 0.3372 0.3336 0.3300 0.3264 0.3228 0.3192 0.3156 0.3121 -0.4 -0.3 0.3821 0.3783 0.3745 0.3707 0.3669 0.3632 0.3594 0.3557 0.3520 0.3483 -0.3 -0.2 0.4207 0.4168 0.4129 0.4090 0.4052 0.4013 0.3974 0.3936 0.3897 0.3859 -0.2 -0.1 0.4602 0.4562 0.4522 0.4483 0.4443 0.4404 0.4364 0.4325 0.4286 0.4247 -0.1 -0.0 0.5000 0.4960 0.4920 -0.0 0.2810 0.2776 -0.5 0.4880 0.4840 0.4801 0.4761 0.4721 0.4681 0.4641 z .00 .01 .02 .03 .04 .05 .06 .07 .08 .09 z I
Standard Normal Distribution Table (Page 2) Areas under the Normal Curve z .01 .07 .08 .09 0.5359 0.0 .03 .04 .05 .06 0.5120 0.5160 0.5199 0.5239 0.5279 0.5319 0.5557 0.5596 0.5636 0.5675 0.5714 0.5753 0.1 0.5948 0.5987 0.6026 0.6064 0.6103 0.6141 0.2 0.6331 0.6368 0.6406 0.6443 0.6480 0.6517 0.3 0.6700 0.6736 0.6772 0.6808 0.6844 0.6879 0.4 0.7088 0.7123 0.7157 0.7190 0.7224 0.5 0.7422 0.7454 0.7486 0.7517 0.7549 0.6 0.8340 0.8365 1.0 0.8461 0.8599 0.8621 1.1 1.1 0.8686 1.2 0.8849 0.8869 0.8888 0.9066 0.9222 1.3 0.9032 0.9049 1.4 0.9192 0.9207 0.9236 .00 .02 0.0 0.5000 0.5040 0.5080 0.1 0.5398 0.5438 0.5478 0.5517 0.2 0.5793 0.5832 0.5871 0.5910 0.3 0.6179 0.6217 0.6255 0.6293 0.4 0.6554 0.6591 0.6628 0.6664 0.5 0.6915 0.6950 0.6985 0.7019 0.7054 0.6 0.7257 0.7291 0.7324 0.7357 0.7389 0.7 0.7580 0.7611 0.7642 0.7673 0.7704 0.7734 0.7764 0.7794 0.7823 0.7852 0.7 0.8 0.7881 0.7910 0.7939 0.7967 0.7995 0.8023 0.8051 0.8078 0.8106 0.8133 0.8 0.9 0.8159 0.8186 0.8212 0.8238 0.8264 0.8289 0.8315 0.8389 0.9 0.8413 0.8438 0.8485 0.8508 0.8531 0.8554 0.8577 1.0 0.8643 0.8665 0.8708 0.8729 0.8749 0.8770 0.8790 0.8810 0.8830 0.8907 0.8925 0.8944 0.8962 0.8980 0.8997 0.9015 1.2 0.9082 0.9099 0.9115 0.9131 0.9147 0.9162 0.9177 1.3 0.9251 0.9265 0.9279 0.9292 0.9306 0.9319 1.4 1.5 0.9332 0.9345 0.9357 0.9370 0.9382 0.9394 0.9406 0.9418 0.9429 0.9441 1.5 1.6 0.9452 0.9463 0.9474 0.9484 0.9495 0.9505 0.9515 0.9525 0.9535 0.9545 1.6 1.7 0.9554 0.9564 0.9573 0.9582 0.9591 0.9599 0.9608 0.9616 0.9625 0.9633 1.7 1.8 0.9641 0.9649 0.9656 0.9664 0.9671 0.9678 0.9686 0.9693 0.9699 0.9706 1.8 1.9 0.9713 0.9719 0.9726 0.9732 0.9738 0.9744 0.9750 0.9756 0.9761 0.9767 1.9 2.0 0.9772 0.9778 0.9783 0,9788 0,9793 0.9798 0.9803 0.9808 0.9812 0.9817 2.0 2.1 0.9821 0.9826 0.9830 0.9834 0.9838 0.9842 0.9846 0.9850 0.9854 0.9857 2.1 2.2 0.9861 0.9864 0.9868 0.9871 0.9875 0.9878 2.3 0.9893 0.9896 0.9898 0.9901 0.9904 0.9906 2.4 0.9918 0.9920 0.9922 0.9925 0.9927 0.9929 0.9931 0.9932 0.9934 0.9936 2.4 2.5 0.9938 0.9940 0.9941 0.9943 0.9945 0.9946 0.9948 0.9949 0.9951 0.9952 2.5 2.6 0.9953 0.9955 0.9956 0.9957 0.9959 0.9960 0.9961 0.9962 0.9963 0.9964 2.6 2.7 0.9965 0.9966 0.9967 0.9968 0.9969 0.9970 0.9971 0.9972 0.9973 0.9974 2.7 2.8 0.9974 0.9975 0.9976 0.9977 0.9977 0.9978 0.9979 0.9979 0.9980 0.9981 2.8 2.9 0.9981 0.9982 0.9982 0.9983 0.9984 0.9984 0.9985 0.9985 0.9986 0.9986 2.9 3.0 0.9987 0.9987 0.9987 0.9988 0.9988 0.9989 0.9989 0.9989 0.9990 0.9990 3.0 3.1 0.9990 0.9991 0.9991 0.9991 0.9992 0.9992 0.9992 0.9992 0.9993 0.9993 3.1 3.2 0.9993 0.9993 0.9994 0.9994 0.9994 0.9994 0.9994 0.9995 0.9995 0.9995 3.2 3.3 0.9995 0.9995 0.9995 0.9996 0.9996 0.9996 0.9996 0.9996 0.9996 0.9997 3.3 3.4 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9998 3.4 0.9881 0.9884 0.9887 0.9890 2.2 0.9909 0.9911 0.9913 0.9916 2.3 z .00 .01 .02 .03 .04 .05 .06 .07 .08 .09
Critical Values of the t-Distribution (Page 1) Critical Values of the t-Distribution 0.40 1 0.325 1234 2 3 5 6 8 9 10 11 12 13 14 15 16 17 18 0.289 0.277 0.271 0.267 24 25 0.265 0.263 0.262 26 27 28 29 30 0.261 0.260 0.260 0.259 0.258 0.535 0.257 0.534 0.257 0.534 19 0.257 0.533 20 0.257 0.533 21 0.257 22 0.256 23 0.256 0.30 0.20 0.727 1.376 0.617 1.061 0.584 0.978 0.569 0.941 0.559 0.920 0.553 0.549 0.546 0.543 0.542 0.256 0.256 0.540 0.876 1.088 0.539 0.873 0.259 0.538 0.870 0.258 0.537 0.868 0.258 0.536 0.866 0.906 1.134 0.896 1.119 0.889 1.108 0.883 1.100 0.879 1.093 0.865 0.863 0.862 0.256 0.256 0.256 0.530 0.256 0.530 0.256 0.530 0.15 1.963 1.386 0.10 3.078 1.886 1.250 1.638 1.190 1.533 1.156 1.476 0.855 0.854 0.854 40 0.255 0.529 0.851 60 0.254 0.527 0.848 120 0.254 0.526 0.845 0.253 0.524 0.842 0.40 0.30 0.20 1.079 1.076 1.074 0.861 0.860 1.064 0.532 0.859 1.063 0.532 0.858 1.061 0.532 0.858 1.060 0.531 0.857 0.531 0.856 1.363 1.083 1.356 1.350 0.531 0.856 1.058 0.531 0.855 1.057 1.056 1.055 1.055 1.059 1.058 1.440 1.415 1.397 1.383 1.372 1.050 1.045 1.041 1.036 0.15 a 1.071 1.337 1.746 1.069 1.333 1.740 1.067 1.330 1.734 1.066 1.328 1.729 1.325 1.725 1.345 1.341 1.323 1.321 0.05 6.314 2.920 2.353 2.132 2.015 1.315 1.314 1.313 1.311 1.310 1.943 1.895 1.860 1.833 1.812 1.303 1.296 1.289 1.282 0.10 1.796 1.782 1.771 1.761 1.753 1.319 1.318 1.711 1.316 1.708 1.721 1.717 1.714 1.706 1.703 1.701 1.699 1.697 1.684 1.671 1.658 1.645 0.05 0.025 12.706 4.303 3.182 2.776 2.571 2.447 2.365 2.306 2.262 2.228 2.201 2.179 2.160 2.145 2.131 2.120 2.110 2.101 2.093 2.086 2.080 2.074 2.069 2.064 2.060 2.056 2.052 2.048 2.045 2.042 2.021 2.000 1.980 1.960 0.025 I
Critical Values of the t-Distribution (Page 2) Critical Values of the t-Distribution V 0.02 1 15.894 2 4.849 3.482 2.999 2.757 3 4 5 6 7 8 9 10 11 12 13 14 15 19 20 21 22 16 2.235 17 2.224 18 2.214 2.205 2.197 23 24 25 26 27 28 29 30 40 60 120 2.612 2.517 V 2.449 2.398 2.359 2.328 2.303 2.282 2.264 2.249 2.189 2.183 2.177 2.172 2.167 2.162 2.158 2.154 2.150 2.147 2.123 2.099 2.076 2.054 0.02 0.015 0.01 21.205 31.821 5.643 6.965 3.896 4.541 3.298 3.747 3.003 3.365 2.829 3.143 2.715 2.998 2.634 2.896 2.821 2.764 2.574 2.527 2.491 2.718 2.461 2.681 2.436 2.650 2.415 2.624 2.397 2.602 2.382 2.583 2.368 2.567 2.356 2.552 2.346 2.539 2.336 2.528 2.328 2.320 2.313 2.307 2.301 2.296 2.291 2.286 2.282 2.278 2.250 2.223 2.196 2.170 0.015 2.518 2.508 2.500 2.492 2.485 2.479 2.473 2.467 2.462 2.457 2.423 2.390 2.358 2.326 0.01 0.0075 42.433 8.073 5.047 3.634 3.372 3.203 3.085 2.998 2.932 2.879 2.836 2.801 2.771 2.746 2.724 2.706 2.689 2.674 2.661 2.649 2.639 2.629 2.620 2.612 2.605 2.598 2.592 2.586 2.581 2.542 2.504 2.468 2.432 0.0075 0.005 63.656 9.925 5.841 4.604 4.032 3.707 3.499 3.355 3.250 3.169 3.106 3.055 3.012 2.977 2.947 2.921 2.898 2.878 2.861 2.845 2.831 2.819 2.807 2.797 2.787 2.779 2.771 2.763 2.756 2.750 2.704 2.660 2.617 2.576 0.005 0.0025 127.321 14.089 7.453 5.598 4.773 4.317 4.029 3.833 3.690 3.581 3.497 3.428 3.372 3.326 3.286 3.252 3.222 3.197 3.174 3.153 3.135 3.119 3.104 3.091 3.078 3.067 3.057 3.047 3.038 3.030 2.971 2.915 2.860 2.807 0.0025 0.0005 636.578 31.600 12.924 8.610 6.869 5.959 5.408 5.041 4.781 4.587 4.437 4.318 4.221 4.140 4.073 4.015 3.965 3.922 3.883 3.850 3.819 3.792 3.768 3.745 3.725 3.707 3.689 3.674 3.660 3.646 3.551 3.460 3.373 3.290 0.0005 I