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Listed below are measured amounts of lead​ (in micrograms per cubic​ meter, or μg/m3​)in the air. The EPA has established an air quality standard for lead of 1.5 μg/m3. The measurements shown below were recorded at a building on different days. Use the given values to construct a 95​% confidence interval estimate of the mean amount of lead in the air. Is there anything about this data set suggesting that the confidence interval might not be very​ good?   5.40 0.90 0.46 0.83 0.67 1.20   What is the confidence interval for the population mean

Listed below are measured amounts of lead​ (in micrograms per cubic​ meter, or μg/m3​)in the air. The EPA has established an air quality standard for lead of 1.5 μg/m3. The measurements shown below were recorded at a building on different days. Use the given values to construct a 95​% confidence interval estimate of the mean amount of lead in the air. Is there anything about this data set suggesting that the confidence interval might not be very​ good?   5.40 0.90 0.46 0.83 0.67 1.20   What is the confidence interval for the population mean

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Listed below are measured amounts of lead​ (in micrograms per cubic​ meter, or μg/m3​)in the air. The EPA has established an air quality standard for lead of 1.5 μg/m3.
The measurements shown below were recorded at a building on different days. Use the given values to construct a 95​% confidence interval estimate of the mean amount of lead in the air. Is there anything about this data set suggesting that the confidence interval might not be very​ good?
 
5.40
0.90
0.46
0.83
0.67
1.20
 
What is the confidence interval for the population mean
μ​?
 
? μg/m3<μ< ? μg/m3
​(Round to three decimal places as​ needed.)
POSITIVE z Scores z Scores Standard Normal (z) Distribution: Cumulative Area from the LEFT 00 .01 .02 .03 .04 .05 .06 .07 7 08 .09 0.0 0.1 5000 .5040 .5080 5120 5160 .5199 .5230 .5279 5319 .5359 0.0 .5398 5438 .5478 5517 .5557 5596 .5636 .5675 5714 .5753 0.1 0.2 .5793 .5832 .5871 .5010 .5948 5987 .6026 .6064 .6103 .6141 02 2 0.3 .6179 6217 .6255 6293 6331 .6368 .6406 .6443 6480 .6517 0.3 3 0.4 .6554 .6591 .6628 .6664 .6700 .6736 .6772 .6808 .6844 6879 0.4 0.5 6915 .6050 .6985 .7019 .7054 7088 .7123 .7157 .7190 7224 0.5 0.6 .7257 7201 .7324 7357 7380 7422 .7454 .7486 .7517 7549 0.6 0.7 .7580 7611 .7642 .7673 .7704 7734 .7764 .7794 .7823 .7852 0.7 0.8 7881 7910 .7939 .7967 .7995 8023 .8051 8078 8106 8133 0.8 0.9 8159 8186 .8212 8238 .8264 8289 .8315 8340 8365 8389 0.9 1.0 8413 8438 8461 8485 8508 8531 .8554 8577 8500 8621 1.0 1.1 8643 8665 8686 8708 8729 8749 .8770 8790 8810 8830 1.1 1.2 8849 .8860 8888 8007 8925 8944 .8962 8080 .8907 9015 1.2 1.3 0032 .9049 9066 .0082 .9099 .9115 .9131 .9147 9162 9177 1.3 1.4 9192 9207 9222 9236 9251 9265 9279 9306 9319 1.4 1.5 332 9345 9357 .370 9382 9394 .9406 .9418 9429 9441 1.5 1.6 .9452 9463 9474 9484 9495 9505 0515 9525 .9535 .9545 1.6 1.7 9554 .9564 .9573 0582 .9591 9599 .9608 9616 .9625 .9633 1.7 1.8 9641 .9649 .9656 0664 .9671 9678 .9686 9693 .9699 9706 1.8 1.9 9713 9719 .9726 9732 9738 9744 .9750 9756 9761 .9767 1.9 2.0 9772 9778 .9783 9788 9793 9798 .9803 .9808 .9812 .9817 2.0 2.1 .9821 9826 9830 9834 9838 .9842 .9846 .9850 .9854 .9857 2.1 2.2 9861 .9864 .9868 .9871 .9875 .9878 .9881 .9884 9887 .9890 2.2 2.3 9893 9896 .9898 0001 .9904 .9906 .9900 0011 .9913 9916 2.3 2.4 9918 9920 .9922 9025 9927 „9929 .9961 .0032 9934 9936 2.4 2.5 9938 .9940 .9941 .0043 .9945 .9946 .9948 0049 .9951 .9952 2.5 2.6 9953 .9955 .9056 .0057 9950 .9960 .0061 9962 9963 .9964 2.6 2.7 .9965 9966 .9967 .9068 .9969 .9970 .9971 9972 .9973 .9974 2.7 2.8 9974 .9975 .9976 0077 9977 9978 .9979 9979 .9980 .9981 2.8 2.9 9981 .9982 .9982 .0083 .9984 .9984 .9085 .0085 .0086 .9986 2.9 3.0 9987 9987 .9087 0088 9988 9989 .9080 0089 .9990 .9990 3.0 3.1 9990 9991 .9991 9001 9992 .9092 .9002 0002 9993 9993 3.1 3.2 2 9993 .9993 .9904 .0004 .9994 9004 .9904 .0005 .9005 9995 3.2 3.3 9995 .9005 9995 9006 .9996 9906 .9906 .0006 9996 9997 3.3 3.4 9997 9997 .9997 .0007 9997 9007 9907 9007 .9997 9998 3.4 3.50. and up 9000 9999 3.50. and up 00 01 .02 .03 .04 .05 06 .07 08 .09 NOTE: For values of zabove 3.40. use 0.9000 for the area. Common Critical Values
Transcribed Image Text:POSITIVE z Scores z Scores Standard Normal (z) Distribution: Cumulative Area from the LEFT 00 .01 .02 .03 .04 .05 .06 .07 7 08 .09 0.0 0.1 5000 .5040 .5080 5120 5160 .5199 .5230 .5279 5319 .5359 0.0 .5398 5438 .5478 5517 .5557 5596 .5636 .5675 5714 .5753 0.1 0.2 .5793 .5832 .5871 .5010 .5948 5987 .6026 .6064 .6103 .6141 02 2 0.3 .6179 6217 .6255 6293 6331 .6368 .6406 .6443 6480 .6517 0.3 3 0.4 .6554 .6591 .6628 .6664 .6700 .6736 .6772 .6808 .6844 6879 0.4 0.5 6915 .6050 .6985 .7019 .7054 7088 .7123 .7157 .7190 7224 0.5 0.6 .7257 7201 .7324 7357 7380 7422 .7454 .7486 .7517 7549 0.6 0.7 .7580 7611 .7642 .7673 .7704 7734 .7764 .7794 .7823 .7852 0.7 0.8 7881 7910 .7939 .7967 .7995 8023 .8051 8078 8106 8133 0.8 0.9 8159 8186 .8212 8238 .8264 8289 .8315 8340 8365 8389 0.9 1.0 8413 8438 8461 8485 8508 8531 .8554 8577 8500 8621 1.0 1.1 8643 8665 8686 8708 8729 8749 .8770 8790 8810 8830 1.1 1.2 8849 .8860 8888 8007 8925 8944 .8962 8080 .8907 9015 1.2 1.3 0032 .9049 9066 .0082 .9099 .9115 .9131 .9147 9162 9177 1.3 1.4 9192 9207 9222 9236 9251 9265 9279 9306 9319 1.4 1.5 332 9345 9357 .370 9382 9394 .9406 .9418 9429 9441 1.5 1.6 .9452 9463 9474 9484 9495 9505 0515 9525 .9535 .9545 1.6 1.7 9554 .9564 .9573 0582 .9591 9599 .9608 9616 .9625 .9633 1.7 1.8 9641 .9649 .9656 0664 .9671 9678 .9686 9693 .9699 9706 1.8 1.9 9713 9719 .9726 9732 9738 9744 .9750 9756 9761 .9767 1.9 2.0 9772 9778 .9783 9788 9793 9798 .9803 .9808 .9812 .9817 2.0 2.1 .9821 9826 9830 9834 9838 .9842 .9846 .9850 .9854 .9857 2.1 2.2 9861 .9864 .9868 .9871 .9875 .9878 .9881 .9884 9887 .9890 2.2 2.3 9893 9896 .9898 0001 .9904 .9906 .9900 0011 .9913 9916 2.3 2.4 9918 9920 .9922 9025 9927 „9929 .9961 .0032 9934 9936 2.4 2.5 9938 .9940 .9941 .0043 .9945 .9946 .9948 0049 .9951 .9952 2.5 2.6 9953 .9955 .9056 .0057 9950 .9960 .0061 9962 9963 .9964 2.6 2.7 .9965 9966 .9967 .9068 .9969 .9970 .9971 9972 .9973 .9974 2.7 2.8 9974 .9975 .9976 0077 9977 9978 .9979 9979 .9980 .9981 2.8 2.9 9981 .9982 .9982 .0083 .9984 .9984 .9085 .0085 .0086 .9986 2.9 3.0 9987 9987 .9087 0088 9988 9989 .9080 0089 .9990 .9990 3.0 3.1 9990 9991 .9991 9001 9992 .9092 .9002 0002 9993 9993 3.1 3.2 2 9993 .9993 .9904 .0004 .9994 9004 .9904 .0005 .9005 9995 3.2 3.3 9995 .9005 9995 9006 .9996 9906 .9906 .0006 9996 9997 3.3 3.4 9997 9997 .9997 .0007 9997 9007 9907 9007 .9997 9998 3.4 3.50. and up 9000 9999 3.50. and up 00 01 .02 .03 .04 .05 06 .07 08 .09 NOTE: For values of zabove 3.40. use 0.9000 for the area. Common Critical Values
4/26/2021 Critical t values t Distribution: Critical t Values Left tail Area in One Tall 0.005 0.01 0.025 0.05 0.10 Area in Two Talls 0.05 Degrees of Freedom Degrees of Freedom 0.01 0.02 0.10 0.20 63.657 31.821 12.706 6.314 3.078 2 9.925 6.965 4.303 2.920 1.886 2 3 5.841 4.541 3.182 2.353 1.638 4 4.604 3.747 2.776 2.132 1.533 4. 5 4.032 3.365 2.571 2.015 1.476 6 3.707 3.143 2.447 1.943 1.440 6. 7 3.499 2.998 2.365 1.895 1.415 7 3.355 2.896 2.306 1.860 1.397 8 Critical t value (negative) 9 3.250 2.821 2.262 1.833 1.383 10 3.169 2.764 2.228 1.812 1.372 10 11 3.106 2.718 2.201 1.796 1.363 11 12 3.055 2.681 2.179 1.782 1.356 12 13 3.012 2.650 2.160 1.771 1.350 13 14 2.977 2.624 2.145 1.761 1.345 14 Right tail 15 2.947 2.02 2.131 1.753 1.341 15 16 2.921 2.583 2.120 1.746 1.337 16 17 2.898 2.567 2.110 1.740 1.333 17 18 2.878 2.552 2.101 1.734 1.330 18 19 2.861 2.539 2.093 1.729 1.328 19 20 2.845 2.528 2.086 1.725 1.325 20 21 2.831 2.518 2.080 1.721 1.323 21 22 2.819 2.508 2.074 1.717 1.321 22 23 2.807 2.500 2.069 1.714 1.319 23 24 2.797 2.492 2.064 1.711 1.318 24 25 2.787 2.485 2.060 1.708 1.316 25 26 2.779 2.479 2.056 1.706 1.315 26 Critical tvalue (positive) 27 2.771 2.473 2.052 1.703 1.314 27 28 2.763 2.467 2.048 1.701 1.313 28 29 2.756 2.462 2.045 1.699 1.311 29 30 2.750 2.457 2.042 1.697 1.310 30 31 2.744 2.453 2.040 1.696 1.300 31 32 2.738 2.449 2.037 1.004 1.309 32 33 2.733 2.445 2.035 1.002 1.308 33 34 2.728 2.441 2.032 1.601 1.307 34 Two tails 35 2.724 2.438 2.030 1.000 1.306 35 36 2.719 2.434 2.028 1.688 1.306 36 37 2.715 2.431 2.026 1.687 1.305 37 38 2.712 2.429 2.024 1.686 1.304 38 39 2.708 2.426 2.023 1.685 1.304 39 40 2.704 2.423 2.021 1.684 1.303 40 45 2.690 2.412 2.014 1.679 1.301 45 50 2.678 2.403 2.009 1.676 1.299 50 a/2 a/2 60 2.660 2.390 2.000 1.671 1.296 60 70 2.648 2.381 1.994 1.667 1.294 70 80 2.639 2.374 1.990 1.004 1.292 80 90 2.632 2.368 1.987 1.062 1.291 90 Critical t value (negative) Critical tvalue 100 2.626 2.364 1.984 1.060 1.290 100 (positive) 200 2.601 2.345 1.972 1.653 1.286 200 300 2.592 2.339 1.968 1.650 1.284 300 400 2.588 2.336 1.966 1.649 1.284 400 500 2.586 2.334 1.965 1.648 1.283 500
Transcribed Image Text:4/26/2021 Critical t values t Distribution: Critical t Values Left tail Area in One Tall 0.005 0.01 0.025 0.05 0.10 Area in Two Talls 0.05 Degrees of Freedom Degrees of Freedom 0.01 0.02 0.10 0.20 63.657 31.821 12.706 6.314 3.078 2 9.925 6.965 4.303 2.920 1.886 2 3 5.841 4.541 3.182 2.353 1.638 4 4.604 3.747 2.776 2.132 1.533 4. 5 4.032 3.365 2.571 2.015 1.476 6 3.707 3.143 2.447 1.943 1.440 6. 7 3.499 2.998 2.365 1.895 1.415 7 3.355 2.896 2.306 1.860 1.397 8 Critical t value (negative) 9 3.250 2.821 2.262 1.833 1.383 10 3.169 2.764 2.228 1.812 1.372 10 11 3.106 2.718 2.201 1.796 1.363 11 12 3.055 2.681 2.179 1.782 1.356 12 13 3.012 2.650 2.160 1.771 1.350 13 14 2.977 2.624 2.145 1.761 1.345 14 Right tail 15 2.947 2.02 2.131 1.753 1.341 15 16 2.921 2.583 2.120 1.746 1.337 16 17 2.898 2.567 2.110 1.740 1.333 17 18 2.878 2.552 2.101 1.734 1.330 18 19 2.861 2.539 2.093 1.729 1.328 19 20 2.845 2.528 2.086 1.725 1.325 20 21 2.831 2.518 2.080 1.721 1.323 21 22 2.819 2.508 2.074 1.717 1.321 22 23 2.807 2.500 2.069 1.714 1.319 23 24 2.797 2.492 2.064 1.711 1.318 24 25 2.787 2.485 2.060 1.708 1.316 25 26 2.779 2.479 2.056 1.706 1.315 26 Critical tvalue (positive) 27 2.771 2.473 2.052 1.703 1.314 27 28 2.763 2.467 2.048 1.701 1.313 28 29 2.756 2.462 2.045 1.699 1.311 29 30 2.750 2.457 2.042 1.697 1.310 30 31 2.744 2.453 2.040 1.696 1.300 31 32 2.738 2.449 2.037 1.004 1.309 32 33 2.733 2.445 2.035 1.002 1.308 33 34 2.728 2.441 2.032 1.601 1.307 34 Two tails 35 2.724 2.438 2.030 1.000 1.306 35 36 2.719 2.434 2.028 1.688 1.306 36 37 2.715 2.431 2.026 1.687 1.305 37 38 2.712 2.429 2.024 1.686 1.304 38 39 2.708 2.426 2.023 1.685 1.304 39 40 2.704 2.423 2.021 1.684 1.303 40 45 2.690 2.412 2.014 1.679 1.301 45 50 2.678 2.403 2.009 1.676 1.299 50 a/2 a/2 60 2.660 2.390 2.000 1.671 1.296 60 70 2.648 2.381 1.994 1.667 1.294 70 80 2.639 2.374 1.990 1.004 1.292 80 90 2.632 2.368 1.987 1.062 1.291 90 Critical t value (negative) Critical tvalue 100 2.626 2.364 1.984 1.060 1.290 100 (positive) 200 2.601 2.345 1.972 1.653 1.286 200 300 2.592 2.339 1.968 1.650 1.284 300 400 2.588 2.336 1.966 1.649 1.284 400 500 2.586 2.334 1.965 1.648 1.283 500
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