An electrical firm manufactures light bulbs that have a length of life that is approximately normally distributed with a

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An Electrical Firm Manufactures Light Bulbs That Have A Length Of Life That Is Approximately Normally Distributed With A 1 (18.78 KiB) Viewed 11 times

An Electrical Firm Manufactures Light Bulbs That Have A Length Of Life That Is Approximately Normally Distributed With A 2 (89.4 KiB) Viewed 11 times

An Electrical Firm Manufactures Light Bulbs That Have A Length Of Life That Is Approximately Normally Distributed With A 3 (42.66 KiB) Viewed 11 times

An Electrical Firm Manufactures Light Bulbs That Have A Length Of Life That Is Approximately Normally Distributed With A 4 (42.53 KiB) Viewed 11 times

An electrical firm manufactures light bulbs that have a length of life that is approximately normally distributed with a standard deviation of 25 hours. If a sample of 35 bulbs has an average life of 770 hours, find a 96% confidence interval for the population mean of all bulbs produced by this firm. 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. The confidence interval is<μ<. (Round to the nearest integer as needed.) ()
Standard Normal Distribution Table (Page 1) Arga Areas under the Normal Curve .01 .02 .03 .04 .05 .06 .07 .08 0.0038 0.0037 0.0036 -2.6 0.0051 0.0049 0.0048 -2.5 0.0068 0.0066 .00 -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 0.0011 0.0010 -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 -2.5 0.0062 0.0060 0.0059 0.0057 0.0055 0.0054 0.0052 -2.4 0.0082 0.0080 0.0078 0.0075 0.0073 0.0071 0.0069 0.0064 -2.4 -2.3 0.0107 0.0104 0.0102 0.0099 0.0096 0.0094 0.0091 0.0089 0.0087 0.0084 -2.3 -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 0.0256 0.0250 0.0244 0.0239 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 -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 0.0721 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 -0.8 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 0.2810 0.2776 -0.5 -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 -0.0 0.5000 0.4960 0.4920 0.4880 0.4840 .02 0.1611 -0.9 0.4404 0.4364 0.4325 0.4286 0.4247 -0.1 0.4641 -0.0 0.4801 0.4761 0.4721 0.4681 .00 .01 .03 .04 .05 .06 .07 .08 .09 z .09 0.0002 -3.4 0.0003 -3.3 0.0005 -3.2 0.0007 -3.1 0.0010 -3.0 I
Standard Normal Distribution Table (Page 2) Areas under the Normal Curve .00 .01 .02 .03 .04 .05 .06 .07 .08 .09 0.5557 0.5596 0.5 0.6 0.0 0.5000 0.5040 0.5080 0.5120 0.5160 0.5199 0.5239 0.5279 0.5319 0.5359 0.0 0.1 0.5398 0.5438 0.5478 0.5517 0.5636 0.5675 0.5714 0.5753 0.1 0.2 0.5793 0.5832 0.5871 0.5910 0.5948 0.5987 0.6026 0.6064 0.6103 0.6141 0.2 0.3 0.6179 0.6217 0.6255 0.6293 0.6331 0.6368 0.6406 0.6443 0.6480 0.6517 0.3 0.4 0.6554 0.6591 0.6628 0.6664 0.6700 0.6736 0.6772 0.6808 0.6844 0.6879 0.4 0.5 0.6915 0.6950 0.6985 0.7019 0.7054 0.7088 0.7123 0.7157 0.7190 0.7224 0.6 0.7257 0.7291 0.7324 0.7357 0.7389 0.7422 0.7454 0.7486 0.7517 0.7549 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 1.0 1.1 0.8643 0.8665 0.8686 0.8708 0.8729 0.8749 0.8770 0.8790 0.8810 0.8830 1.1 1.2 0.8849 0.8869 0.8888 0.8907 0.8925 0.8944 0.8962 0.8980 0.8997 0.9015 1.2 0.9115 0.9131 0.9147 0.9162 0.9177 1.3 0.9265 0.9279 0.9292 0.9306 0.9319 1.4 0.9394 0.9406 0.9418 0.9429 0.9441 1.5 0.9505 0.9515 0.9525 0.9535 0.9545 1.6 0.9616 0.9625 0.9633 1.7 1.3 0.9032 0.9049 0.9066 0.9082 0.9099 1.4 0.9192 0.9207 0.9222 0.9236 0.9251 0.9370 0.9382 0.9484 0.9599 0.9608 0.9934 0.9936 2.4 1.5 0.9332 0.9345 0.9357 1.6 0.9452 0.9463 0.9474 0.9495 1.7 0.9554 0.9564 0.9573 0.9582 0.9591 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 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 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 3.1 0.9990 0.9991 0.9991 0.9991 0.9992 0.9992 0.9992 3.2 0.9993 0.9993 0.9994 0.9994 0.9994 0.9994 0.9994 0.9995 3.3 0.9995 0.9995 0.9995 0.9996 0.9996 0.9996 0.9996 0.9996 3.4 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 .00 .01 .02 0.9989 0.9990 0.9990 3.0 0.9992 0.9993 0.9993 3.1 0.9995 0.9995 3.2 0.9996 0.9997 3.3 0.9997 0.9997 0.9997 0.9998 3.4 .03 .04 .05 .06 .07 .08 .09 I
Critical Values of the t-Distribution (Page 1) 0 Critical Values of the t-Distribution t 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 40 60 120 0.40 0.325 0.289 0.277 0.271 0.267 0.265 0.263 0.262 0.261 0.260 0.260 0.259 0.258 0.257 0.257 0.257 0.257 0.540 0.876 0.539 0.873 0.259 0.538 0.258 0.537 0.258 0.536 0.257 0.256 0.256 0.256 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 0.906 0.549 0.896 0.546 0.889 0.883 0.879 0.255 0.254 0.543 0.542 0.535 0.534 0.534 0.533 0.533 0.532 0.532 0.532 0.531 0.531 0.256 0.531 0.256 0.531 0.256 0.530 0.256 0.530 0.256 0.530 0.529 0.527 0.865 0.863 0.862 0.861 0.860 0.859 0.858 0.858 0.870 1.079 0.868 1.076 0.866 1.074 0.857 0.856 0.856 0.855 0.855 0.851 0.848 0.254 0.526 0.845 0.253 0.524 0.842 0.40 0.30 0.20 0.854 0.854 0.15 1.963 1.386 1.250 1.190 1.156 1.134 1.119 1.108 1.100 1.093 1.088 1.083 1.071 1.069 1.067 1.066 1.064 0.10 3.078 1.886 1.638 1.533 1.476 1.058 1.057 1.056 1.055 1.055 1.440 1.415 1.397 1.383 1.372 1.363 1.356 1.350 1.345 1.341 1.337 1.333 1.330 1.328 1.325 1.063 1.323 1.061 1.321 1.060 1.319 1.059 1.318 1.058 1.316 1.315 1.314 1.313 1.311 1.310 1.303 1.296 1.050 1.045 1.041 1.289 1.036 1.282 0.15 0.10 a 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 1.684 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 1 2 3 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 40 60 120 ∞0 V 0.02 0.015 0.01 15.894 21.205 31.821 4.849 5.643 3.482 3.896 2.999 3.298 3.747 2.757 3.003 3.365 2.612 2.517 2.449 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 2.183 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 2.829 2.715 2.634 2.574 2.527 2.491 2.461 2.436 2.415 2.397 2.382 2.368 2.356 2.346 2.336 2.296 2.291 2.286 2.282 2.278 6.965 4.541 2.250 2.223 3.143 2.998 2.896 2.821 2.764 2.328 2.518 2.320 2.508 2.313 2.500 2.307 2.492 2.301 2.485 2.718 2.681 2.650 2.624 2.602 2.583 2.567 2.552 2.539 2.528 2.479 2.473 2.467 2.462 2.457 2.423 2.390 2.196 2.358 2.170 2.326 0.015 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 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