Assume that thermometer readings are normally distributed with a mean of 0C and a standard deviation...

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Assume that thermometer readings are normally distributed with a mean of 0C and a standard deviation of 1.00C. A thermometer is randomly selected and tested. For the case below, draw a sketch, and find the probability of the reading. (The given values are in Celsius degrees.) Between 1.00 and 2.25 Click to view page 1 of the table. Click to view page 2 of the table. Draw a sketch. Choose the correct graph below. A. z=1.00 z=2.25 The probability of getting a reading between 1.00C and 2.25C is (Round to four decimal places as needed.) . C. Q z=1.00 z=2.25 G ^ z=1.00 z=2.25 G Standard normal table (page 1) NEGATIVE Z Scores Standard Normal (z) Distribution: Cumulative Area from the LEFT z .00 .01 .02 .03 .04 .05 .06 .07 .08 .09 -3.50 and lower .0001 -3.4 .0003 .0003 .0003 .0003 -3.3 .0005 .0005 .0005 .0004 .0003 .0004 .0003 .0003 .0003 .0003 .0002 .0004 .0004 .0004 .0004 .0003 -3.2 .0007 .0007 .0006 .0006 .0006 .0006 .0006 .0005 .0005 .0005 -3.1 .0010 .0009 .0009 .0009 .0008 .0008 .0008 .0008 .0007 .0007 -3.0 .0013 .0013 .0013 .0012 .0012 .0011 .0011 .0011 .0010 .0010 -2.9 .0019 .0018 .0018 .0017 .0016 .0016 .0015 .0015 .0014 .0014 -2.8 .0026 .0025 .0024 .0023 .0023 .0022 .0021 .0021 .0020 .0019 -2.7 .0035 .0034 .0033 .0032 .0031 .0030 .0029 .0028 .0027 .0026 -2.6 .0047 .0045 .0044 .0043 .0041 .0040 .0039 .0038 .0037 .0036 -2.5 .0062 .0060 .0059 .0057 .0055 .0054 .0052 .0051 * .0049 .0048 -2.4 .0082 .0080 .0078 .0075 .0073 .0071 .0069 .0068 .0066 .0064 -2.3 0107 0104 .0102 .0099 0096 .0094 .0091 .0089 .0087 .0084 Standard normal table (page 1) I x -2.2 .0139 .0136 .0132 .0129 .0125 .0122 .0119 .0116 .0113 .0110 -2.1 .0179 .0174 .0170 .0166 .0162 .0158 0154 .0150 0146 .0143 -2.0 .0228 .0222 .0217 .0212 .0207 .0202 .0197 .0192 .0188 .0183 -1.9 .0287 .0281 .0274 .0268 .0262 .0256 .0250 .0244 .0239 .0233 -1.8 .0359 .0351 .0344 .0336 .0329 .0322 .0314 .0307 .0301 .0294 -1.7 .0446 .0436 .0427 .0418 .0409 .0401 .0392 .0384 .0375 .0367 -1.6 .0548 .0537 .0526 .0516 .0505 * .0495 .0485 .0475 .0465 .0455 -1.5 .0668 .0655 .0643 .0630 .0618 .0606 .0594 .0582 .0571 .0559 -1.4 .0808 .0793 .0778 .0764 .0749 .0735 .0721 .0708 .0694 .0681 -1.3 .0968 .0951 .0934 .0918 .0901 .0885 .0869 .0853 .0838 .0823 -1.2 1151 1131 1112 1093 .1075 1056 1038 1020 1003 .0985 -1.1 .1357 1335 1314 1292 .1271 1251 .1230 1210 1190 .1170 -1.0 .1587 .1562 1539 1515 1492 .1469 1446 1423 1401 1379 -0.9 1841 1814 1788 1762 .1736 1711 1685 .1660 1635 .1611 -0.8 .2119 2090 .2061 .2033 2005 1977 1949 .1922 1894 .1867 -0.7 2420 2389 .2358 .2327 .2296 .2266 2236 .2206 2177 .2148 -0.6 .2743 2709 .2676 .2643 2611 2578 2546 .2514 .2483 .2451 -0.5 .3085 .3050 3015 .2981 .2946 .2912 2877 .2843 2810 .2776 -0.4 .3446 3409 .3372 .3336 .3300 .3264 3228 .3192 .3156 .3121 -0.3 .3821 .3783 .3745 .3707 .3669 .3632 3594 .3557 3520 .3483 -0.2 .4207 4168 .4129 4090 .4052 .4013 3974 .3936 .3897 .3859 -0.1 .4602 .4562 .4522 .4483 .4443 .4404 .4364 .4325 4286 .4247 -0.0 .5000 .4960 .4920 .4880 .4840 .4801 .4761 .4721 4681 .4641 Standard normal table (page 2) POSITIVE z Scores Standard Normal (z) Distribution: Cumulative Area from the LEFT N .00 .01 .02 .03 .04 .05 .06 .07 .08 .09 0.0 .5000 5040 5080 .5120 .5160 .5199 .5239 5279 .5319 .5359 0.1 = .5398 .5438 .5478 .5517 .5557 .5596 .5636 .5675 .5714 .5753 0.2 .5793 .5832 .5871 5910 .5948 .5987 .6026 .6064 .6103 .6141 0.3 .6179 .6217 .6255 .6293 .6331 .6368 .6406 .6443 .6480 .6517 0.4 .6554 .6591 .6628 .6664 .6700 .6736 .6772 .6808 .6844 .6879 0.5 .6915 .6950 .6985 .7019 .7054 .7088 .7123 .7157 .7190 .7224 0.6 .7257 .7291 .7324 .7357 .7389 .7422 .7454 .7486 .7517 .7549 0.7 .7580 .7611 .7642 .7673 .7704 .7734 .7764 .7794 .7823 .7852 0.8 .7881 7910 .7939 .7967 .7995 .8023 .8051 .8078 .8106 .8133 0.9 .8159 .8186 .8212 .8238 .8264 .8289 .8315 .8340 .8365 .8389 1.0 .8413 8438 8461 .8485 .8508 .8531 .8554 .8577 .8599 .8621 1.1 .8643 .8665 .8686 .8708 .8729 .8749 .8770 .8790 .8810 .8830 1.2 8849 8869 8888 8907 8925 8944 .8962 8980 .8997 9015 Standard normal table (page 2) MASSTR222222222223 3 3 3 3 NNNN 1.3 .9032 .9049 .9066 .9082 .9099 .9115 .9131 .9147 .9162 .9177 1.4 .9192 .9207 .9222 .9236 .9251 .9265 .9279 .9292 .9306 .9319 1.5 .9332 9345 .9357 .9370 .9382 .9394 .9406 .9418 .9429 .9441 1.6 .9452 9463 .9474 9484 .9495 .9505 .9515 9525 .9535 .9545 1.7 .9554 .9564 .9573 .9582 .9591 .9599 .9608 .9616 .9625 .9633 1.8 .9641 .9649 .9656 .9664 .9671 .9678 .9686 9693 .9699 .9706 1.9 .9713 .9719 .9726 .9732 .9738 .9744 .9750 .9756 .9761 .9767 2.0 .9772 .9778 .9783 .9788 .9793 .9798 .9803 .9808 .9812 .9817 2.1 .9821 .9826 .9830 .9834 .9838 .9842 .9846 .9850 .9854 .9857 .9861 .9864 .9868 .9871 .9875 .9878 .9881 .9884 .9887 .9890 .9893 .9896 .9898 .9901 .9904 .9906 .9909 .9911 .9913 .9916 2.4 .9918 .9920 .9922 .9925 .9927 .9929 .9931 .9932 .9934 .9936 2.5 .9938 .9940 .9941 9943 .9945 .9946 .9948 .9949 .9951 .9952 2.6 .9953 .9955 .9956 .9957 .9959 .9960 .9961 .9962 .9963 .9964 2.7 .9965 .9966 .9967 .9968 .9969 .9970 .9971 .9972 9973 .9974 2.8 .9974 .9975 .9976 .9977 .9977 .9978 .9979 9979 .9980 .9981 2.9 .9981 .9982 .9982 .9983 .9984 .9984 .9985 9985 .9986 .9986 3.0 .9987 .9987 .9987 .9988 .9988 .9989 .9989 .9989 .9990 .9990 3.1 .9990 .9991 .9991 .9991 .9992 .9992 .9992 9992 .9993 .9993 3.2 .9993 .9993 .9994 .9994 .9994 .9994 .9994 .9995 .9995 .9995 3.3 .9995 .9995 .9995 .9996 .9996 .9996 .9996 .9996 .9996 .9997 3.4 9997 .9997 .9997 .9997 .9997 .9997 .9997 .9997 .9997 .9998 3.50 .9999 and up Assume that thermometer readings are normally distributed with a mean of 0C and a standard deviation of 1.00C. A thermometer is randomly selected and tested. For the case below, draw a sketch, and find the probability of the reading. (The given values are in Celsius degrees.) Between 1.00 and 2.25 Click to view page 1 of the table. Click to view page 2 of the table. Draw a sketch. Choose the correct graph below. A. z=1.00 z=2.25 The probability of getting a reading between 1.00C and 2.25C is (Round to four decimal places as needed.) . C. Q z=1.00 z=2.25 G ^ z=1.00 z=2.25 G Standard normal table (page 1) NEGATIVE Z Scores Standard Normal (z) Distribution: Cumulative Area from the LEFT z .00 .01 .02 .03 .04 .05 .06 .07 .08 .09 -3.50 and lower .0001 -3.4 .0003 .0003 .0003 .0003 -3.3 .0005 .0005 .0005 .0004 .0003 .0004 .0003 .0003 .0003 .0003 .0002 .0004 .0004 .0004 .0004 .0003 -3.2 .0007 .0007 .0006 .0006 .0006 .0006 .0006 .0005 .0005 .0005 -3.1 .0010 .0009 .0009 .0009 .0008 .0008 .0008 .0008 .0007 .0007 -3.0 .0013 .0013 .0013 .0012 .0012 .0011 .0011 .0011 .0010 .0010 -2.9 .0019 .0018 .0018 .0017 .0016 .0016 .0015 .0015 .0014 .0014 -2.8 .0026 .0025 .0024 .0023 .0023 .0022 .0021 .0021 .0020 .0019 -2.7 .0035 .0034 .0033 .0032 .0031 .0030 .0029 .0028 .0027 .0026 -2.6 .0047 .0045 .0044 .0043 .0041 .0040 .0039 .0038 .0037 .0036 -2.5 .0062 .0060 .0059 .0057 .0055 .0054 .0052 .0051 * .0049 .0048 -2.4 .0082 .0080 .0078 .0075 .0073 .0071 .0069 .0068 .0066 .0064 -2.3 0107 0104 .0102 .0099 0096 .0094 .0091 .0089 .0087 .0084 Standard normal table (page 1) I x -2.2 .0139 .0136 .0132 .0129 .0125 .0122 .0119 .0116 .0113 .0110 -2.1 .0179 .0174 .0170 .0166 .0162 .0158 0154 .0150 0146 .0143 -2.0 .0228 .0222 .0217 .0212 .0207 .0202 .0197 .0192 .0188 .0183 -1.9 .0287 .0281 .0274 .0268 .0262 .0256 .0250 .0244 .0239 .0233 -1.8 .0359 .0351 .0344 .0336 .0329 .0322 .0314 .0307 .0301 .0294 -1.7 .0446 .0436 .0427 .0418 .0409 .0401 .0392 .0384 .0375 .0367 -1.6 .0548 .0537 .0526 .0516 .0505 * .0495 .0485 .0475 .0465 .0455 -1.5 .0668 .0655 .0643 .0630 .0618 .0606 .0594 .0582 .0571 .0559 -1.4 .0808 .0793 .0778 .0764 .0749 .0735 .0721 .0708 .0694 .0681 -1.3 .0968 .0951 .0934 .0918 .0901 .0885 .0869 .0853 .0838 .0823 -1.2 1151 1131 1112 1093 .1075 1056 1038 1020 1003 .0985 -1.1 .1357 1335 1314 1292 .1271 1251 .1230 1210 1190 .1170 -1.0 .1587 .1562 1539 1515 1492 .1469 1446 1423 1401 1379 -0.9 1841 1814 1788 1762 .1736 1711 1685 .1660 1635 .1611 -0.8 .2119 2090 .2061 .2033 2005 1977 1949 .1922 1894 .1867 -0.7 2420 2389 .2358 .2327 .2296 .2266 2236 .2206 2177 .2148 -0.6 .2743 2709 .2676 .2643 2611 2578 2546 .2514 .2483 .2451 -0.5 .3085 .3050 3015 .2981 .2946 .2912 2877 .2843 2810 .2776 -0.4 .3446 3409 .3372 .3336 .3300 .3264 3228 .3192 .3156 .3121 -0.3 .3821 .3783 .3745 .3707 .3669 .3632 3594 .3557 3520 .3483 -0.2 .4207 4168 .4129 4090 .4052 .4013 3974 .3936 .3897 .3859 -0.1 .4602 .4562 .4522 .4483 .4443 .4404 .4364 .4325 4286 .4247 -0.0 .5000 .4960 .4920 .4880 .4840 .4801 .4761 .4721 4681 .4641 Standard normal table (page 2) POSITIVE z Scores Standard Normal (z) Distribution: Cumulative Area from the LEFT N .00 .01 .02 .03 .04 .05 .06 .07 .08 .09 0.0 .5000 5040 5080 .5120 .5160 .5199 .5239 5279 .5319 .5359 0.1 = .5398 .5438 .5478 .5517 .5557 .5596 .5636 .5675 .5714 .5753 0.2 .5793 .5832 .5871 5910 .5948 .5987 .6026 .6064 .6103 .6141 0.3 .6179 .6217 .6255 .6293 .6331 .6368 .6406 .6443 .6480 .6517 0.4 .6554 .6591 .6628 .6664 .6700 .6736 .6772 .6808 .6844 .6879 0.5 .6915 .6950 .6985 .7019 .7054 .7088 .7123 .7157 .7190 .7224 0.6 .7257 .7291 .7324 .7357 .7389 .7422 .7454 .7486 .7517 .7549 0.7 .7580 .7611 .7642 .7673 .7704 .7734 .7764 .7794 .7823 .7852 0.8 .7881 7910 .7939 .7967 .7995 .8023 .8051 .8078 .8106 .8133 0.9 .8159 .8186 .8212 .8238 .8264 .8289 .8315 .8340 .8365 .8389 1.0 .8413 8438 8461 .8485 .8508 .8531 .8554 .8577 .8599 .8621 1.1 .8643 .8665 .8686 .8708 .8729 .8749 .8770 .8790 .8810 .8830 1.2 8849 8869 8888 8907 8925 8944 .8962 8980 .8997 9015 Standard normal table (page 2) MASSTR222222222223 3 3 3 3 NNNN 1.3 .9032 .9049 .9066 .9082 .9099 .9115 .9131 .9147 .9162 .9177 1.4 .9192 .9207 .9222 .9236 .9251 .9265 .9279 .9292 .9306 .9319 1.5 .9332 9345 .9357 .9370 .9382 .9394 .9406 .9418 .9429 .9441 1.6 .9452 9463 .9474 9484 .9495 .9505 .9515 9525 .9535 .9545 1.7 .9554 .9564 .9573 .9582 .9591 .9599 .9608 .9616 .9625 .9633 1.8 .9641 .9649 .9656 .9664 .9671 .9678 .9686 9693 .9699 .9706 1.9 .9713 .9719 .9726 .9732 .9738 .9744 .9750 .9756 .9761 .9767 2.0 .9772 .9778 .9783 .9788 .9793 .9798 .9803 .9808 .9812 .9817 2.1 .9821 .9826 .9830 .9834 .9838 .9842 .9846 .9850 .9854 .9857 .9861 .9864 .9868 .9871 .9875 .9878 .9881 .9884 .9887 .9890 .9893 .9896 .9898 .9901 .9904 .9906 .9909 .9911 .9913 .9916 2.4 .9918 .9920 .9922 .9925 .9927 .9929 .9931 .9932 .9934 .9936 2.5 .9938 .9940 .9941 9943 .9945 .9946 .9948 .9949 .9951 .9952 2.6 .9953 .9955 .9956 .9957 .9959 .9960 .9961 .9962 .9963 .9964 2.7 .9965 .9966 .9967 .9968 .9969 .9970 .9971 .9972 9973 .9974 2.8 .9974 .9975 .9976 .9977 .9977 .9978 .9979 9979 .9980 .9981 2.9 .9981 .9982 .9982 .9983 .9984 .9984 .9985 9985 .9986 .9986 3.0 .9987 .9987 .9987 .9988 .9988 .9989 .9989 .9989 .9990 .9990 3.1 .9990 .9991 .9991 .9991 .9992 .9992 .9992 9992 .9993 .9993 3.2 .9993 .9993 .9994 .9994 .9994 .9994 .9994 .9995 .9995 .9995 3.3 .9995 .9995 .9995 .9996 .9996 .9996 .9996 .9996 .9996 .9997 3.4 9997 .9997 .9997 .9997 .9997 .9997 .9997 .9997 .9997 .9998 3.50 .9999 and up