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 4.8 3.4 4.7 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. 3.3 4.1 3.4 4.7 5.5 4.8 3.2 5.8 5.7 The prediction interval is < x <- (Round to two decimal places as needed.) 2.6 3.5 5.5 C
Standard Normal Distribution Table (Page 1) n Areas under the Normal Curve .01 .02 .03 .04 .05 .06 .07 .08 0.0003 0.0003 0.0003 0.0004 0.0004 0.0004 0.0005 0.0004 .00 -3.4 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 -3.3 0.0005 0.0005 0.0004 0.0004 -3.2 0.0007 0.0007 0.0006 0.0006 0.0006 -3.1 0.0010 0.0009 0.0009 0.0009 0.0008 -3.0 0.0013 0.0013 0.0013 0.0012 0.0012 0.0006 0.0006 0.0008 0.0008 0.0011 0.0011 -2.9 0.0019 0.0018 0.0018 0.0017 0.0016 0.0016 0.0015 0.0015 -2.8 0.0026 0.0025 0.0024 0.0023 0.0023 0.0022 0.0021 0.0021 -2.7 0.0035 0.0034 0.0033 0.0032 0.0031 0.0030 0.0029 0.0028 -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 0.0075 0.0073 0.0071 0.0069 0.0099 0.0096 0.0078 0.0064 -2.4 0.0068 0.0066 0.0094 0.0091 0.0089 0.0087 0.0084 -2.3 0.0110 -2.2 0.0122 0.0119 0.0116 0.0113 0.0158 0.0154 0.0150 0.0202 0.0197 0.0146 0.0143 -2.1 0.0183 -2.0 0.0233 -1.9 0.0294 -1.8 -2.4 0.0082 0.0080 -2.3 0.0107 0.0104 0.0102 -2.2 0.0139 0.0136 0.0132 0.0129 0.0125 -2.1 0.0179 0.0174 0.0170 0.0166 0.0162 -2.0 0.0228 0.0222 0.0217 0.0212 0.0207 0.0192 0.0188 -1.9 0.0287 0.0281 0.0274 0.0268 0.0262 0.0256 0.0250 0.0244 0.0239 -1.8 0.0359 0.0351 0.0344 0.0336 0.0329 0.0322 0.0314 0.0307 0.0301 -1.7 0.0446 0.0436 0.0427 0.0418 0.0409 0.0401 0.0392 0.0384 0.0375 0.0367 -1.7 -1.6 0.0548 0.0537 0.0526 0.0516 0.0505 0.0495 0.0485 0.0475 0.0465 0.0455 -1.6 -1.5 0.0668 0.0655 0.0643 0.0630 0.0618 0.0606 0.0594 0.0582 0.0571 0.0559 -1.5 -1.4 0.0808 0.0793 0.0778 0.0764 0.0749 0.0735 0.0694 0.0681 -1.4 -1.3 0.0968 0.0951 0.0934 0.0918 0.0838 0.0823 -1.3 -1.2 0.1151 0.1131 0.1112 0.1093 0.1003 0.0985 -1.2 -1.1 0.1357 0.1335 0.1314 0.1292 0.1190 0.1170 -1.1 -1.0 0.1587 0.1562 0.1539 0.1515 -0.9 0.1841 0.1814 0.1788 0.1762 0.1736 0.1711 0.1685 -0.8 0.2119 0.2090 0.2061 0.2033 0.2005 0.1977 0.1949 -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 -0.3 0.3821 0.3783 0.3745 0.3707 0.3669 0.3632 0.3594 0.3557 -0.2 0.4207 0.4168 0.4129 0.4090 0.4052 0.4013 0.3974 0.3936 -0.1 0.4602 0.4562 0.4522 0.4483 0.4443 0.4404 0.4364 0.4325 -0.0 0.5000 0.4960 0.4920 0.4880 0.4840 0.4801 0.4761 0.4721 .00 .01 .02 0.0901 0.0885 0.1075 0.1056 0.1271 0.1251 0.0721 0.0708 0.0869 0.0853 0.1038 0.1020 0.1230 0.1210 0.1492 0.1469 0.1446 0.1423 0.1401 0.1379 -1.0 0.1660 0.1635 0.1611 -0.9 0.1922 0.1894 0.1867 -0.8 0.2810 0.2776 -0.5 0.3156 0.3121 -0.4 0.3520 0.3483 -0.3 0.3897 0.3859 -0.2 0.4286 0.4247 -0.1 0.4681 0.4641 -0.0 .03 .04 .05 .06 .07 .08 .09 2 .09 z 0.0002 -3.4 0.0003 -3.3 0.0005 0.0005 0.0005 -3.2 0.0008 0.0007 0.0007 -3.1 0.0011 0.0010 0.0010 -3.0 0.0014 0.0014 -2.9 0.0020 0.0019 -2.8 0.0027 0.0026 -2.7 0.0036 -2.6 0.0048 -2.5 I
Standard Normal Distribution Table (Page 2) Areas under the Normal Curve .00 .01 .02 .04 .05 0.0 0.5000 0.5040 0.1 0.5398 0.5438 .03 0.5080 0.5120 0.5160 0.5199 0.5478 0.5517 0.5557 0.5596 0.5832 0.5871 0.5910 0.5948 0.5987 0.6217 0.6255 0.6293 0.6331 0.6368 0.6406 0.6443 0.6591 0.6628 0.6664 0.6700 0.6736 0.6772 0.6808 0.2 0.5793 0.3 0.6179 0.4 0.6554 .06 .07 0.5239 0.5279 .08 .09 z 0.5319 0.5359 0.0 0.5675 0.5714 0.5753 0.1 0.5636 0.6026 0.6064 0.6103 0.6141 0.2 0.6480 0.6517 0.3 0.6844 0.6879 0.4 1.0 1.1 1.2 0.5 0.6915 0.6950 0.6985 0.7019 0.7054 0.7088 0.7123 0.7157 0.7190 0.7224 0.5 0.6 0.7257 0.7291 0.7324 0.7357 0.7389 0.7422 0.7454 0.7486 0.7517 0.7549 0.6 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 0.8340 0.8365 0.8389 0.9 1.0 0.8413 0.8438 0.8461 0.8485 0.8508 0.8531 0.8554 0.8577 0.8599 0.8621 1.1 0.8643 0.8665 0.8686 0.8708 0.8729 0.8749 0.8770 0.8790 0.8810 0.8830 0.8849 0.8869 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 0.9357 0.9370 0.9382 0.9394 0.9406 0.9418 0.9429 0.9441 1.5 0.9474 0.9484 0.9495 0.9505 0.9515 0.9525 0.9535 0.9545 1.6 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 2.0 0.9772 0.9778 0.9783 0.9788 0.9793 0.9798 0.9803 0.9808 0,9812 1.3 0.9032 0.9049 0.8888 0.9066 0.9222 0.9236 1.4 0.9192 0.9207 1.5 0.9332 0.9345 1.6 0.9452 0.9463 1.7 0.9554 0.9564 0.9767 1.9 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 0.9881 0.9884 0.9887 0.9890 2.2 2.3 0.9893 0.9896 0.9898 0.9901 0.9904 0.9906 0.9909 0.9911 0.9913 0.9916 2.3 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 z .00 .01 .02 .03 .04 .05 .06 .07 .08 .09 12345 I
Critical Values of the t-Distribution (Page 1) 0 Critical Values of the t-Distribution t 1 2 3 6 ∞ 1-00 7 8 9 10 ==2=29=228 588388N***988 16 17 0.260 12 0.259 0.259 14 0.258 0.537 0.536 15 0.258 18 19 20 21 22 23 25 0.40 0.30 0.20 0.325 0.727 1.376 0.289 0.617 1.061 0.277 0.584 0.978 0.271 0.569 0.267 0.559 0.265 0.263 28 0.262 0.261 0.260 24 0.256 0.256 30 26 0.256 40 0.258 0.257 0.257 0.257 0.257 27 0.256 0.256 0.257 0.256 0.256 T 29 0.256 0.256 0.255 60 0.254 120 0.254 0.253 0.40 0.540 0.539 0.538 0.553 0.906 1.134 0.549 0.896 1.119 0.546 0.889 1.108 0.543 0.883 1.100 0.542 0.879 1.093 0.535 0.534 0.534 0.533 0.533 0.532 0.532 0.532 0.531 0.531 0.941 0.920 0.530 0.530 0.876 0.873 0.870 0.868 0.866 0.865 0.863 0.862 0.861 0.860 0.859 0.858 0.858 0.857 0.856 0.531 0.856 0.531 0.855 0.530 0.855 0.854 0.854 a 0.15 1.963 1.386 1.250 0.10 3.078 1.886 1.638 1.190 1.533 1.156 1.476 1.088 1.083 1.079 1.076 1.074 1.071 1.069 1.067 1.066 1.064 1.058 1.057 1.056 1.055 1.055 1.440 1.415 1.397 1.383 1.372 0.529 0.851 1.050 0.527 0.848 1.045 0.526 0.845 1.041 0.524 0.842 1.036 0.30 0.20 0.15 1.363 1.356 1.350 1.345 1.341 1.063 1.323 1.061 1.321 1.060 1.319 1.059 1.318 1.058 1.316 1.337 1.333 1.330 1.328 1.325 1.315 1.314 1.313 1.311 1.310 0.05 6.314 2.920 2.353 2.132 2.015 1.943 1.895 1.860 1.833 1.812 1.796 1.782 1.771 1.761 1.753 1.746 1.740 1.734 1.729 1.725 1.721 1.717 1.714 1.711 1.708 1.706 1.703 1.701 1.699 1.697 1.303 1.684 1.296 1.671 1.289 1.658 1.282 1.645 0.10 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
Critical Values of the t-Distribution (Page 2) Critical Values of the t-Distribution . 12345 67890 12BH5 HF800 1234 25 26 0 0 0 120 8 10 11 13 14 16 17 18 19 20 27 28 29 30 40 60 0.02 15.894 . 4.849 3.482 2.999 2.757 2.612 2.517 2.449 22 2.183 2.398 2.359 2.328 2.303 2.282 2.264 2.249 2.235 2.224 2.214 2.205 2.197 2.189 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 2.715 2.634 2.574 2.527 2.382 2.368 2.356 2.491 2.718 2.461 2.681 2.436 2.650 2.415 2.624 2.397 2.602 2.346 2.336 2.328 2.320 2.313 2.307 2.301 3.143 2.998 2.282 2.278 2.896 2.821 2.764 2.250 2.223 2.196 2.170 0.015 2.583 2.567 2.552 2.539 2.528 2.296 2.479 2.291 2.473 2.286 2.467 2.462 2.457 2.518 2.508 2.500 2.492 2.485 2.423 2.390 2.358 2.326 0.01 0.0075 42.433 8.073 5.047 4.088 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 o 0.005 63.656 9.925 5.841 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 ・