please can you answer this
Business Topic: Quality Control A quality control supervisor is looking at production machines used to fabricate steel pins for a particular product assembly. The desired specifications for acceptable pins is for a diameter of 3.52 mm, with acceptable pins being within +/- 0.1 mm. The machine must be realigned to the target diameter if it appears that the population mean for all rods produced by that machine is different than 3.52 mm at 95% confidence/5% significance. A machine must be recalibrated for consistency if it appears that the population percentage (proportion) of unacceptable rods is above 10%, again at 95% confidence/5% significance. The accompanying Fathom file contains rod diameter measurements in mm for random samples of rods taken from three different production machines on a given day. The goal of this project is for you to apply statistical inference procedures (confidence intervals and significance tests) to determine which if any of the machines need to be serviced, and how. 1. Produce appropriate graphs to display the sample distributions, and briefly comment on what they reveal or don't reveal. 2. Conduct appropriate inference procedure(s) for each machine to determine if the population mean rod diameter for rods produced by that machine appears to be 3.52 mm, using 95% confidence/5% significance. Make sure you complete all of the steps for the procedure, including a check of the technical conditions. Fathom or other technology should be used, rather than by-hand calculations. Make sure to state your conclusions in context, indicating whether or not each machine should be serviced to realign the target diameter. 3. Conduct appropriate inference procedure(s) for each machine to determine if the population proportion of unacceptable rods produced by that machine appears to be more than 0.10, using 95% confidence/5% significance. Make sure you complete all of the steps for the procedure, including a check of the technical conditions. Fathom or other technology should be used, rather than by-hand calculations. Make sure to state your conclusions in context, indicating whether or not each machine should be serviced to recalibrate for consistency. While looking at a graph, you can right-click on the center of a graph and choose "Plot Value" to graph a vertical line at each of the cutoffs for acceptable rods, 3.42 and 3.62, in order to see which rods fall outside the acceptable range. Also, items are dynamically linked in Fathom, so if you click on a point on the graph, or select a group of points by click-holding and drawing a box around them, the point(s) are highlighted on any comparative graphs and their row(s) in the table are highlighted as well. The video here shows how this can be done. http://screencast.com/t/Fvtct098 4. An employee claims that random samples were not in fact taken from both Machine 2 andincluding a check of the technical conditions. Fathom or other technology should be used, rather than by-hand calculations. Make sure to state your conclusions in context, indicating whether or not each machine should be serviced to realign the target diameter. 3. Conduct appropriate inference procedure(s) for each machine to determine if the population proportion of unacceptable rods produced by that machine appears to be more than 0.10, using 95% confidence/5% significance. Make sure you complete all of the steps for the procedure, including a check of the technical conditions. Fathom or other technology should be used, rather than by-hand calculations. Make sure to state your conclusions in context, indicating whether or not each machine should be serviced to recalibrate for consistency. While looking at a graph, you can right-click on the center of a graph and choose "Plot Value" to graph a vertical line at each of the cutoffs for acceptable rods, 3.42 and 3.62, in order to see which rods fall outside the acceptable range. Also, items are dynamically linked in Fathom, so if you click on a point on the graph, or select a group of points by click-holding and drawing a box around them, the point(s) are highlighted on any comparative graphs and their row(s) in the table are highlighted as well. The video here shows how this can be done. http://screencast.com/t/Fvtct098 4. An employee claims that random samples were not in fact taken from both Machine 2 and Machine 3, but rather both samples were taken from the same machine. Perform significance tests to compare the population mean rod diameters, and population proportions of unacceptable rods using the samples "supposedly" from Machine 2 and Machine 3. Using support from the results of these procedures, do you think that the employee is telling the truth?A B C D E F G Machine2 |Machine1 Machine3 2 3.56417 3.51068 3.58553 3.53586 3.45201 3.50463 4 3.46551 3.51357 3.50002 5 3.52776 3.46456 3.61697 6 3.60806 3.51505 3.48128 7 3.52853 3.52439 3.4914 8 3.48171 3.47996 3.47024 9 3.52626 3.535 3.53156 10 3.53609 3.56408 3.49866 11 3.5587 3.48925 3.35261 12 3.4952 3.43371 3.52507 13 3.46763 3.43771 3.51755 14 3.52843 3.48188 3.68863 15 3.63724 3.44494 3.55062 16 3.66314 3.51167 3.60863 17 3.52099 3.46332 3.57597 18 3.4523 3.49148 3.43763 19 3.49031 3.4752 3.58654 20 3.56189 3.5102 3.31957 21 3.55145 3.40942 3.64002 22 3.57771 3.46879 3.55304 23 3.52274 3.41226 3.60906 24 3.58718 3.53675 3.56911 25 3.46361 3.38743 3.55577 26 3.5377 3.44861 3.54718 27 3.56538 3.54212 3.64821A B C D 26 3.5377 3.44861 3.54718 27 3.56538 3.54212 3.64821 28 3.55252 3.44424 3.59481 29 3.50962 3.45829 3.51321 30 3.54921 3.52004 3.51432 31 3.51293 3.50139 3.58319 32 3.56082 3.48712 3.47722 33 3.52573 3.44761 3.47776 34 3.55845 3.49081 3.45857 35 3.45676 3.50659 3.44859 36 3.54578 3.50527 3.53724 37 3.49815 3.50351 3.435 38 3.49867 3.48348 3.50401 39 3.55714 3.59657 3.47703 40 3.51788 3.45051 3.54942 41 3.55916 3.46651 3.52974 42 3.49386 3.47484 3.67171 43 3.55701 3.49018 3.53015 44 3.57188 3.47495 3.33904 45 3.39027 3.52006 3.63456 46 3.45406 3.54584 3.57431 47 3.40633 3.46074 3.58442 48 3.53584 3.50949 3.4551 49 3.55637 3.50225 3.51068 50 3.50517 3.49721 3.57512 51 3.48007 3.52356 3.34105 52 3.54197 3.5183 3.43258 53 3.56823 3.55028 3.67353E F A C D G B 52 3.54197 3.5183 3.43258 53 3.56823 3.55028 3.67353 54 3.52055 3.46499 3.48324 55 3.67216 3.41239 3.34552 56 3.59375 3.49135 3.53097 57 3.57925 3.47251 3.46062 58 3.41999 3.50059 3.57404 59 3.5374 3.44908 3.41352 60 3.4683 3.50924 3.48481 61 3.52157 3.42743 3.57625 62 3.39336 3.48242 3.49645 63 3.46777 3.43046 3.53863 64 3.5869 3.50795 3.61736 65 3.55429 3.45872 3.58575 66 3.47065 3.42221 3.51775 67 3.51748 3.541 3.44871 68 3.46993 3.46157 3.66244 69 3.48041 3.60127 3.54424 70 3.41347 3.49542 3.56229 71 3.5453 3.47545 3.61774 72 3.45167 3.47559 3.49285 73 3.48081 3.44608 3.52949 74 3.57266 3.5405 3.65822 75 3.53254 3.53311 3.44469 76 3.44857 3.63959 3.66172 7 3.55171 3.4863 3.40018 78 3.60345 3.54729 3.53658 79 3.63633 3.53662 3.47191A75 X V fx 3.53254 A B C D 75 3.53254 3.53311 3.44469 76 3.44857 3.63959 3.66172 77 3.55171 3.4863 3.40018 78 3.60345 3.54729 3.53658 79 3.63633 3.53662 3.47191 80 3.47235 3.46376 3.5018 81 3.59999 3.49377 3.63203 82 3.58125 3.41084 3.3911 83 3.53224 3.51295 3.57469 84 3.65745 3.55948 3.53012 85 3.48965 3.5341 3.58748 86 3.47264 3.4139 3.52437 87 3.49093 3.52031 3.62372 88 3.52146 3.49092 3.52962 89 3.55408 3.54648 3.55301 90 3.46452 3.39682 3.59129 91 3.57435 3.55657 3.62529 92 3.52477 3.5344 3.49109 93 3.45679 3.42863 3.60207 94 3.466 3.58672 3.61811 95 3.4966 3.56349 3.4553 96 3.53171 3.51692 3.5096 97 3.4504 3.5063 3.6882 98 3.64009 3.48794 3.52907 99 3.481 3.52165 3.3053 100 3.5523 3.61509 3.48042 101 3.49194 3.58157 3.49514A B D 87 3.49093 3.52031 3.62372 88 3.52146 3.49092 3.52962 89 3.55408 3.54648 3.55301 90 3.46452 3.39682 3.59129 91 3.57435 3.55657 3.62529 92 3.52477 3.5344 3.49109 93 3.45679 3.42863 3.60207 94 3.466 3.58672 3.61811 95 3.4966 3.56349 3.4553 96 3.53171 3.51692 3.5096 97 3.4504 3.5063 3.6882 98 3.64009 3.48794 3.52907 99 3.481 3.52165 3.3053 100 3.5523 3.61509 3.48042 101 3.49194 3.58157 3.49514 102 3.60131 3.51696 103 3.60115 3.44835 104 3.48926 105 3.50147 106 3.51664 107 108 109
