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Arandom sample of 49 cutting jobs are selected from a laser cutting machine and the machine has an average processing time of 2.8 seconds with a standard deviation of 1.4 seconds. Infer the following about the sample mean X. Click here to view page 1 of the standard normal distribution table, Click here to view page 2 of the standard normal distribution table. (a) WithO probability, X will be greater than 3.0 seconds. (Round to four decimal places including any zeros.) (b) WithO probability, X will be less than 2.3 seconds. (Round to four decimal places including any zeros.) (c) WithO probability, X will be between 2.8 and 3.1 seconds. (Round to four decimal places including any zeros.)

Arandom sample of 49 cutting jobs are selected from a laser cutting machine and the machine has an average processing time of 2.8 seconds with a standard deviation of 1.4 seconds. Infer the following about the sample mean X. Click here to view page 1 of the standard normal distribution table, Click here to view page 2 of the standard normal distribution table. (a) WithO probability, X will be greater than 3.0 seconds. (Round to four decimal places including any zeros.) (b) WithO probability, X will be less than 2.3 seconds. (Round to four decimal places including any zeros.) (c) WithO probability, X will be between 2.8 and 3.1 seconds. (Round to four decimal places including any zeros.)

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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.00 .01 .02 .03 .04 .05 .06 .07 .08 .09 .00 .01 .02 .03 .04 .05 .06 .07 .08 .09 -3.4 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0002 -3.4 0.0 0.5000 0.5040 0.5080 0.5120 0.5160 0.5199 0.5239 0.5279 0.5319 0.5359 0.0 -3.3 0.0005 0,0005 0.0005 0.0004 0.0004 0.0004 0.0004 0.0004 0.0004 0.0003 -3.3 0,5478 0.5636 0.6026 0.1 0.5398 0.5438 0.5517 0,5557 0,5596 0,5675 0.6064 0.5714 0.5753 0.6141 0.1 0.2 0.5793 0.5832 0.5871 0.5910 0.5948 0.5987 0.6103 0.2 -3.2 0.0007 0.0007 0.0006 0.0006 0.0006 0.0006 0.0006 0.0005 0.0005 0.0005 -3.2 0.0009 0.0013 0.0008 0.0011 0.0008 0.0011 0.0008 0.0007 -3.1 -3.0 0.3 0.6179 0.6217 0.6255 0.6293 0.6331 0.6368 0.6406 0.6443 0.6480 0.6517 0.3 0.0010 0.0009 0.0009 0.0008 0.0007 -3.1 0.4 0.6554 0.6591 0.6628 0.6664 0.6700 0.6736 0.6772 0.6808 0.6844 0.6879 0.4 0.0013 0.0013 0.0012 0.0012 0.0011 0.0010 0.0010 -3.0 0.0017 0.0023 0,0016 0.0023 0,0015 0.0021 0.0015 0.0021 -2.9 0.0019 0.0026 0.0014 0.0020 0.0018 0.0018 0.0016 0.0022 0.0014 -2.9 0.0019 -2.8 0.5 0.6985 0.7123 0.7389 0.7422 0.7454 0.7486 0.6915 0.6950 0.7019 0,7054 0.7088 0.7157 0.7190 0.7224 0.5 -2.8 0.0025 0.0024 0.7517 0.7823 0.8106 0.8365 0.7324 0.7357 0.7673 0.6 0.7257 0.7291 0.7611 0.7642 0.7549 0.6 -2.7 0.0035 0.0034 0.0033 0.0027 0.0037 0.0026 -2.7 0.0032 0.0043 0.0057 0.0031 0.0030 0.0040 0.0029 0.0039 0.0028 0.0038 0.7 0.7580 0.7704 0.7734 0.7764 0.7794 0.7852 0.7 0.8 0.7881 0.7995 0.8023 0.8078 -2.6 0.0047 0.0045 0.0044 0.0041 0.0036 -2.6 0.7910 0.7939 0.7967 0.8051 0.8133 0.8389 0.8 0.9 0.8159 0.8186 0.8212 0.8238 0.8264 0.8289 0,8315 0.8340 0.9 -2.5 0.0062 0.0060 0.0059 0.0055 0.0054 0.0052 0.0051 0.0049 0.0048 -2.5 0.0071 0.0094 0.0082 0.0080 -2.4 -2.3 0.0078 0.0102 0.0075 0.0073 0.0069 0.0068 0.0066 0.0064 -2.4 0.0084 -2.3 1.0 0.8413 0.8643 0.8849 0.9032 0.8438 0.8461 0.8485 0.8508 0.8621 1.0 0.8531 0,8749 0.8944 0.8554 0.8577 0.8790 0.8599 0.0107 0.0104 0.0099 0.0096 0.0091 0.0089 0.0087 1.1 1.2 0.8729 0.8925 0.8665 0.8686 0.8708 0.8770 0.8810 0.8830 1.1 0.0132 0.0174 0.0170 0.0119 0.0154 0.0197 0.8869 0.8888 0.8980 1.2 -2.2 0.0139 0.0136 0.0129 0.0125 0.0122 0.0116 0.0113 0.0110 -2.2 0.8907 0.9082 0.8962 0.9131 0.8997 0.9015 0.0158 0.0202 0.0146 0.0188 -2.1 0.0179 0.0166 0.0162 0.0150 0.0192 1.3 0.9049 0.9066 0.9099 0.9115 0.9147 0.9162 0.9177 1.3 0.0143 -2.1 1.4 0.9192 0.9207 0.9222 0.9236 0.9251 0.9265 0.9279 0.9292 0.9306 0.9319 1.4 -2.0 0.0228 0.0222 0.0217 0.0212 0.0207 0.0183 -2.0 0.0281 0.0274 0.0268 0.0262 -1.9 -1.8 0.0244 0.0307 0.0287 0.0256 0.0250 0.0239 0.0233 -1.9 0.0294 -1.8 1.5 0.9332 0.9345 0.9357 0.9370 0.9382 0.9394 0.9406 0.9418 0.9429 0.9441 1.5 0.0359 0.0351 0.0344 0.0336 0.0329 0.0322 0.0401 0.0314 0.0301 1.6 0.9452 0.9463 0.9474 0.9484 0.9495 0.9505 0.9515 0.9525 0.9608 0.9535 0.9545 1.6 -1.7 0.0446 0.0436 0.0427 0.0418 0.0409 0.0392 0.0384 0.0375 0.0367 -1.7 0.9564 0.9649 0.9599 0,9678 0.9625 0.9699 0.9633 0.9706 1.7 0.9554 0.9641 0.9573 0.9582 0.9656 0.9664 0.9591 0,9671 0.9616 0.9693 1.7 -1.6 0.0537 0.0526 0.0495 0.0485 0.0455 -1.6 0.0548 0.0668 0.0516 0.0630 1.8 0.9686 1.8 0.0505 0.0475 0.0465 1.9 0.9713 0.9719 0.9726 0.9732 0.9738 0.9744 0.9750 0.9756 0.9761 0.9767 1.9 -1.5 0.0655 0.0643 0.0618 0.0606 0.0594 0.0582 0.0571 0.0559 -1.5 0.0694 0.0838 -1.4 0.0808 0.0793 0.0778 0.0764 0.0749 0.0735 0.0721 0.0708 0.0681 -1.4 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 -1.3 0.0968 0.0951 0.0934 0.0918 0.0901 0.0885 0.0869 0.0853 0.0823 -1.3 arara arosa 0.0871 00875 0.0878 0.0881 00887 00800 22
Transcribed Image Text:.00 .01 .02 .03 .04 .05 .06 .07 .08 .09 .00 .01 .02 .03 .04 .05 .06 .07 .08 .09 -3.4 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0002 -3.4 0.0 0.5000 0.5040 0.5080 0.5120 0.5160 0.5199 0.5239 0.5279 0.5319 0.5359 0.0 -3.3 0.0005 0,0005 0.0005 0.0004 0.0004 0.0004 0.0004 0.0004 0.0004 0.0003 -3.3 0,5478 0.5636 0.6026 0.1 0.5398 0.5438 0.5517 0,5557 0,5596 0,5675 0.6064 0.5714 0.5753 0.6141 0.1 0.2 0.5793 0.5832 0.5871 0.5910 0.5948 0.5987 0.6103 0.2 -3.2 0.0007 0.0007 0.0006 0.0006 0.0006 0.0006 0.0006 0.0005 0.0005 0.0005 -3.2 0.0009 0.0013 0.0008 0.0011 0.0008 0.0011 0.0008 0.0007 -3.1 -3.0 0.3 0.6179 0.6217 0.6255 0.6293 0.6331 0.6368 0.6406 0.6443 0.6480 0.6517 0.3 0.0010 0.0009 0.0009 0.0008 0.0007 -3.1 0.4 0.6554 0.6591 0.6628 0.6664 0.6700 0.6736 0.6772 0.6808 0.6844 0.6879 0.4 0.0013 0.0013 0.0012 0.0012 0.0011 0.0010 0.0010 -3.0 0.0017 0.0023 0,0016 0.0023 0,0015 0.0021 0.0015 0.0021 -2.9 0.0019 0.0026 0.0014 0.0020 0.0018 0.0018 0.0016 0.0022 0.0014 -2.9 0.0019 -2.8 0.5 0.6985 0.7123 0.7389 0.7422 0.7454 0.7486 0.6915 0.6950 0.7019 0,7054 0.7088 0.7157 0.7190 0.7224 0.5 -2.8 0.0025 0.0024 0.7517 0.7823 0.8106 0.8365 0.7324 0.7357 0.7673 0.6 0.7257 0.7291 0.7611 0.7642 0.7549 0.6 -2.7 0.0035 0.0034 0.0033 0.0027 0.0037 0.0026 -2.7 0.0032 0.0043 0.0057 0.0031 0.0030 0.0040 0.0029 0.0039 0.0028 0.0038 0.7 0.7580 0.7704 0.7734 0.7764 0.7794 0.7852 0.7 0.8 0.7881 0.7995 0.8023 0.8078 -2.6 0.0047 0.0045 0.0044 0.0041 0.0036 -2.6 0.7910 0.7939 0.7967 0.8051 0.8133 0.8389 0.8 0.9 0.8159 0.8186 0.8212 0.8238 0.8264 0.8289 0,8315 0.8340 0.9 -2.5 0.0062 0.0060 0.0059 0.0055 0.0054 0.0052 0.0051 0.0049 0.0048 -2.5 0.0071 0.0094 0.0082 0.0080 -2.4 -2.3 0.0078 0.0102 0.0075 0.0073 0.0069 0.0068 0.0066 0.0064 -2.4 0.0084 -2.3 1.0 0.8413 0.8643 0.8849 0.9032 0.8438 0.8461 0.8485 0.8508 0.8621 1.0 0.8531 0,8749 0.8944 0.8554 0.8577 0.8790 0.8599 0.0107 0.0104 0.0099 0.0096 0.0091 0.0089 0.0087 1.1 1.2 0.8729 0.8925 0.8665 0.8686 0.8708 0.8770 0.8810 0.8830 1.1 0.0132 0.0174 0.0170 0.0119 0.0154 0.0197 0.8869 0.8888 0.8980 1.2 -2.2 0.0139 0.0136 0.0129 0.0125 0.0122 0.0116 0.0113 0.0110 -2.2 0.8907 0.9082 0.8962 0.9131 0.8997 0.9015 0.0158 0.0202 0.0146 0.0188 -2.1 0.0179 0.0166 0.0162 0.0150 0.0192 1.3 0.9049 0.9066 0.9099 0.9115 0.9147 0.9162 0.9177 1.3 0.0143 -2.1 1.4 0.9192 0.9207 0.9222 0.9236 0.9251 0.9265 0.9279 0.9292 0.9306 0.9319 1.4 -2.0 0.0228 0.0222 0.0217 0.0212 0.0207 0.0183 -2.0 0.0281 0.0274 0.0268 0.0262 -1.9 -1.8 0.0244 0.0307 0.0287 0.0256 0.0250 0.0239 0.0233 -1.9 0.0294 -1.8 1.5 0.9332 0.9345 0.9357 0.9370 0.9382 0.9394 0.9406 0.9418 0.9429 0.9441 1.5 0.0359 0.0351 0.0344 0.0336 0.0329 0.0322 0.0401 0.0314 0.0301 1.6 0.9452 0.9463 0.9474 0.9484 0.9495 0.9505 0.9515 0.9525 0.9608 0.9535 0.9545 1.6 -1.7 0.0446 0.0436 0.0427 0.0418 0.0409 0.0392 0.0384 0.0375 0.0367 -1.7 0.9564 0.9649 0.9599 0,9678 0.9625 0.9699 0.9633 0.9706 1.7 0.9554 0.9641 0.9573 0.9582 0.9656 0.9664 0.9591 0,9671 0.9616 0.9693 1.7 -1.6 0.0537 0.0526 0.0495 0.0485 0.0455 -1.6 0.0548 0.0668 0.0516 0.0630 1.8 0.9686 1.8 0.0505 0.0475 0.0465 1.9 0.9713 0.9719 0.9726 0.9732 0.9738 0.9744 0.9750 0.9756 0.9761 0.9767 1.9 -1.5 0.0655 0.0643 0.0618 0.0606 0.0594 0.0582 0.0571 0.0559 -1.5 0.0694 0.0838 -1.4 0.0808 0.0793 0.0778 0.0764 0.0749 0.0735 0.0721 0.0708 0.0681 -1.4 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 -1.3 0.0968 0.0951 0.0934 0.0918 0.0901 0.0885 0.0869 0.0853 0.0823 -1.3 arara arosa 0.0871 00875 0.0878 0.0881 00887 00800 22
A random sample of 49 cutting jobs are selected from a laser cutting machine and the machine has an average processing time of 2.8 seconds with a standard deviation of 1.4 seconds. Infer the following about the sample mean X. Click here to view page 1 of the standard normal distribution table, Click here to view page 2 of the standard normal distribution table. (a) With probability, X will be greater than 3.0 seconds. (Round to four decimal places including any zeros.) (b) WithO probability, X will be less than 2.3 seconds. (Round to four decimal places including any zeros.) (c) With probability, X will be between 2.8 and 3.1 seconds. (Round to four decimal places including any zeros.)
Transcribed Image Text:A random sample of 49 cutting jobs are selected from a laser cutting machine and the machine has an average processing time of 2.8 seconds with a standard deviation of 1.4 seconds. Infer the following about the sample mean X. Click here to view page 1 of the standard normal distribution table, Click here to view page 2 of the standard normal distribution table. (a) With probability, X will be greater than 3.0 seconds. (Round to four decimal places including any zeros.) (b) WithO probability, X will be less than 2.3 seconds. (Round to four decimal places including any zeros.) (c) With probability, X will be between 2.8 and 3.1 seconds. (Round to four decimal places including any zeros.)
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