This is business analytics. And the raw data is shown below as well. Sorry there is a lot of data, If there is a easier way I can share it, tell me please thank you

1. Description of the situation In a manufacturing line, 6 stations are placed in a sequence. Jobs arrive to station 1 and leave the line after they finish service at station 6. A queue has been set up in front of station 1. Currently the factory floor operates on the basis that, when service on a job finishes at a given station, such job can only move to the next station if and only if the next station is idle (not processing any job). Otherwise, the given station remains blocked as the finished job cannot move to the next stage. Each station takes some time to finish a job. When there are no jobs to process, the station sits idle. There are no quality checks in the line, and any quality checking and/or assurance would occur after the job leaves station 6. beyond the scope of the manufacturing line. Management is routinely reminded that the ultimate goal of the manufacturing line is to deliver finished jobs at the maximum rate possible in a way that the factory floor does not get overcrowded, let alone the arriving job reception area (the queue) right before station 1. 2. Input data Data on the times of job arrivals to the manufacturing line have been monitored, taken, and stored in a data file, available on Canvas. Also, in the same data file, the service times of the six stations can be found, presented as probability distributions 3. Problem Management is not satisfied with the current state of the operations at the manufacturing line. 4. Deliverable Use the information given above to argue what seems to be wrong with the manufacturing line. In other words, produce a Diagnosis of the current situation. In your diagnosis you can paraphrase or rephrase the situation described above, include graphical aids (diagram, picture) and use the raw data in the data file to pinpoint either unexpected occurrences, symptoms of malfunctioning or irregularities, etc. What you are encouraged to do is to take a look (literal look) at the data and try to detect any problems by means of a basic statistical approach. ArrivalTime ServiceRatel ServiceRate2 ServiceRate3 Service Rate4 Service Rates ServiceRate 4.551237828 2.601588975 2.333253189 2.77944895 2.290089344 2.270643879 3.50693002 5.079651849 2.002289806 2.622712285 1.926884814 1.867541015 3.414158617 2.24001821 1.010436581 1.736631024 1.642789743 0.629606289 2.785140814 1.545088593 0.864891397 9.641500096 2.197932293 1.350426918 1.935504422 2.500046715 3.506494085 3.786909207 8.383025122 2.502928351 2.552084362 1.328819645 2.47051777 1.582301327 2.684498239 18.05535613 2.07663835 2.296848729 1.896065161 2.193797101 2.84108462 3.867474544 16.04631005 2.673119336 1.731004488 1.540393243 2.372012473 2.271778975 3.315904463 0.026616158 2.727854908 3.404492943 2.080826262 2.013563914 1.787698555 3.435859926 18.84858901 3.437219421 1.873750389 2.161350238 2.185677098 2.120348078 1.747642771 1.157591547 2.261950243 2.643612465 1.643025183 1.911422191 1.788755075 2.068022635 1.615642301 2.649247216 2.98466186 1.999071964 2.378391183 1.521881718 3.180412076 2.195557912 2.232916627 2.569623653 2.716682681 2.319045185 2.64809927 3.343123517 4.034937851 2.830537857 1.962052116 1.008851772 1.833132048 2.696256769 3.372823646 1.289729554 2.966482719 2.836220505 0.963858502 2.189991235 2.673620749 1.541667952 13.01270225 2.934471523 3.363907679 1.158696321 1.896556493 2.946806036 2.815374312 1.184441148 2.085773691 2.334669083 2.16724636 2.880749513 2.496759382 3.06668104 1.593992237 1.917995162 2.679029303 1.621159165 2.574758926 2.635741929 2.021194294 6.57741049 1.786288841 1.533836738 1.884771055 2.655360091 2.726381543 3.923303742 8.948635793 1.809059188 2.005077699 2.346384212 2.343274826 1.565283142 3.444964174 0.227748653 3.178415632 2.184926538 2.050877761 1.697172031 2.195735906 2.418498258 4.102460805 2.163342937 2.701909168 1.206505942 2.929110713 2.744668023 2.824499726 1.232875657 2.810616663 2.445775663 1.347107676 2.231863709 2.552444707 2.310776968 15.4354733 2.420559231 1.478491102 2.603778429 2.059286651 2.937985249 2.074558036 4.909350798 2.745880783 3.37698638 1.805148941 2.113951754 3.257512856 2.123461436 3.930022901 2.488094933 1.943456995 0.93880425 2.384849508 2.021387741 3.366727832 4.077652593 2.95046143 2.541686852 1.261450749 1.78765688 3.304583445 3.374991913 0.033325896 2.036077629 1.19018354 1.684644938 1.89220305 3.385073953 2.026834789 4.320805257 2.629399218 3.030364388 1.11299855 1.922863524 1.866281358 0.855483919 5.957761149 1.944374138 2.277066874 1.266657362 2.431318189 2.896617642 2.96556266 3.233603049 2.679182035 1.125490371 2.655925133 2.502810202 1.498678524 1.528456542 2.736162887 2.198029244 2.096109584 2.105833085 2.072971796 2.225402429 4.232688723 11.36900365 2.720799552 2.447505344 1.742922431 2.370656731 1.682882833 3.022922205 1.066376614 1.971478425 2.758616159 2.577871405 2.186194165 2.465972544 2.801520625 0.818479115 2.861404601 2.698920891 1.395637626 1.725168559 1.181618592 2.201587887 8.799634811 2.396635219 1.375667149 2.408399498 2.001111857 3.161070819 0.849027916 2.331644532 2.648608668 2.912674008 1.503826426 2.002209764 3.211655789 2.631855677 10.09377687 1.962866693 2.557837195 2.623350053 1.915907653 2.056991172 3.717211304 6.087022786 2.307838013 2.367378011 2.25772465 2.565316772 1.59360385 1.08929345 2.904440248 2.082774761 1.413785803 1.370999633 2.883626438 1.675426032 1.820515042 3.348648262 3.050815637 3.334801316 1.962947358 2.396452458 1.417232165 4.103408894 7.225583737 2.546633697 1.764189464 1.112097456 2.27686856 1.503446046 1.288422361 3.535799593 1.657416815 3.385456718 0.922099327 1.725537663 1.616391668 2.657314906 0.979837788 1.981423428 2.111724242 1.058074344 1.831651282 1.490862163 2.263966062 0.420844072 2.458903731 2.386115074 0.891554193 2.5932815 2.424676468 3.06115783 6.139826389 2.281085376 2.807906509 1.776968879 2.223694054 2.720224577 2.816552402 28.11942298 2.686702645 3.179404017 2.324566468 2.124188664 2.233110696 3.52969974 5.164670685 2.998999259 3.659410515 1.911727832 2.18082076 1.75408959 3.43400211 4.116079518 3.608996143 3.505682189 2.269585435 2.901790493 2.4739362 3.681870028 3.666829134 2.061401828 2.81745645 2.036276313 1.922353666 2.843384854 1.990927445 3.37553143 2.526379541 1.672042435 1.269932559 2.417210661 3.173616492 1.103946785 6.956223012 2.664015851 3.513792007 1.71529743 2.326964905 2.615327132 3.173119768 3.560305393 1.889314714 2.158015666 1.820311491 2.507297278 2.192846711 3.413626494 0.903245677 1.639870616 3.033992001 1.463793875 2.502918107 2.376234929 1.138410228 1.268679314 2.233274004 1.784147583 2.305675718 2.099856691 2.017890328 3.32276542 12.48791785 1.74953468 3.042463161 1.790358242 2.376143001 2.483228418 2.912033862 3.608970814 2.489639481 3.45631109 2.614969374 2.122178312 2.60936743 3.851599123 0.979837788 0.420844072 6.139826389 28.11942298 5.164670685 4.116079518 3.666829134 3.37553143 6.956223012 3.560305393 0.903245677 1.268679314 12.48791785 3.608970814 2.43849962 4.02696512 4.807582339 1.848137134 0.459056831 4.903290775 1.030966947 5.00170171 4.172044601 5.057447274 2.621567883 0.451680902 11.23542714 4.226594053 1.825871481 0.234179032 2.894137571 2.376345971 6.284867639 8.8647363 0.075368354 13.70751018 2.602228659 0.271370867 1.30155916 4.240759606 0.518939411 0.21198245 8.555551512 6.8472163 9.161300788 1.184909693 2.073101258 2.663496585 3.071721662 4.835626959 1.939440046 1.361927611 8.315060325 2.547460466 5.545893131 1.242662848 8.51844488 1.981423428 2.458903731 2.281085376 2.686702645 2.998999259 3.608996143 2.061401828 2.526379541 2.664015851 1.889314714 1.639870616 2.233274004 1.74953468 2.489639481 2.384141515 2.115378673 3.683884795 2.975149072 3.438149227 3.18465671 3.233091853 3.283081416 3.342407799 2.68085366 2.3754409 2.150718272 2.554192936 3.252672092 3.297131065 1.715065926 3.543594219 2.626051733 3.373490479 1.8694612 3.105296948 2.518706848 2.640359998 3.872889668 3.139256169 2.115708005 3.065068104 3.059998056 2.861145382 2.204669305 2.258894337 2.576753766 2.237509573 2.62412004 3.665792875 2.459982603 3.822466697 2.722027131 2.935891155 2.194282787 3.005167401 2.536367067 2.370640624 2.111724242 2.386115074 2.807906509 3.179404017 3.659410515 3.505682189 2.81745645 1.672042435 3.513792007 2.158015666 3.033992001 1.784147583 3.042463161 3.45631109 1.842644869 3.054104731 3.058101796 2.479127569 2.064713804 1.367448827 3.324314266 1.691391632 2.988004952 2.593146856 1.765545003 2.762590935 1.623526186 2.1339701 1.782803744 3.417013058 3.365819378 2.28572736 2.212334195 2.062945312 3.170647966 2.608011683 2.396308697 3.345363353 2.567303492 1.804844333 1.463544337 2.542635972 1.594291502 2.823001827 3.809330377 1.486106403 2.631167332 1.914589564 2.562755248 2.849322909 2.347775602 2.950500258 2.386068636 2.4675583 1.679116727 3.132527074 2.106252245 1.058074344 0.891554193 1.776968879 2.324566468 1.911727832 2.269585435 2.036276313 1.269932559 1.71529743 1.820311491 1.463793875 2.305675718 1.790358242 2.614969374 1.287687325 0.660670304 1.861747439 1.911500939 2.084222556 1.795578087 1.735889228 2.217146963 1.908322121 1.284796236 2.55416765 2.508312219 1.962302177 1.517199162 2.055971888 1.898240173 1.861405899 2.320415227 2.168666506 2.432942334 2.307535571 2.290142372 1.696136936 2.108448109 2.076715253 1.991909299 1.648141569 1.718009599 2.195438556 1.567420861 2.563008085 2.014089912 2.016053249 1.362129508 1.409318928 2.437775306 2.557981529 1.34723762 2.796548225 1.919567895 1.699808018 2.003669485 1.337592088 1.831651282 2.5932815 2.223694054 2.124188664 2.18082076 2.901790493 1.922353666 2.417210661 2.326964905 2.507297278 2.502918107 2.099856691 2.376143001 2.122178312 2.326936559 2.774010001 2.223813295 2.407343267 2.761443025 2.165881927 2.335809751 2.234754237 1.784356111 2.76606884 2.531697296 2.958057853 2.58292147 2.475172805 1.952684621 1.940765272 2.780196982 2.578155776 2.208055335 1.653504517 2.086412277 2.497982129 2.926675666 2.649291681 1.989495051 2.295063651 2.744410106 2.681759858 2.657002429 2.373252163 2.456115479 2.743161745 2.878448988 2.777758938 2.479526008 2.362729173 2.522779468 2.151730248 2.095121952 2.681049779 2.42377066 2.79123489 2.713280981 1.490862163 2.424676468 2.720224577 2.233110696 1.75408959 2.4739362 2.843384854 3.173616492 2.615327132 2.192846711 2.376234929 2.017890328 2.483228418 2.60936743 2.426280016 2.928889388 2.751228179 2.325884267 2.247537621 1.823156722 2.979404638 1.307971519 1.590048341 1.37666103 1.883440099 2.482698471 1.799077139 3.102353942 1.14221938 2.050534561 1.941144475 1.71794087 2.359627302 1.926758089 2.521116053 1.106986921 1.815275637 3.252236897 2.419509787 1.606867074 1.779376651 2.907927541 3.312027391 1.39767311 3.4719188 1.285460954 2.106839334 2.044155521 2.475225171 2.316354171 1.087355119 1.577672561 1.903702217 1.976137746 2.285763096 1.285344639 1.327964033 2.263966062 3.06115783 2.816552402 3.52969974 3.43400211 3.681870028 1.990927445 1.103946785 3.173119768 3.413626494 1.138410228 3.32276542 2.912033862 3.851599123 4.269076133 1.585132463 2.370183776 2.812212604 3.026975068 3.473155424 2.758923109 3.062939143 3.891155069 3.005010299 3.564148692 2.986715747 2.95195959 3.91847975 1.996852037 2.757140836 1.865126281 1.396837487 3.722362048 1.098854076 1.339446623 2.700577151 2.49157628 2.675849202 1.721014465 2.639082394 0.580704455 2.46466771 2.90283574 4.116928182 1.525636191 1.528299674 2.925378172 1.401808363 3.457176565 2.780417106 1.614957338 4.149748016 2.496541725 4.204458421 2.369067856 1.141406401 3.081812069 7.838730122 7.781710984 16.07917464 1.282359858 3.857411645 2.349711248 1.513359663 4.264427725 5.398188724 2.069174238 1.057853022 7.192495952 6.058197987 0.038226811 5.582031252 0.816875672 3.412504484 2.969554958 8.431072381 2.537187732 0.526787384 4.61877573 6.23069679 0.334175892 4.831355938 13.64234733 4.5018085 0.408510574 10.58384398 5.701530447 0.466862587 2.145233465 0.344365734 2.276745417 0.940116589 6.439146822 8.757733269 1.103022351 1.04116812 0.343693927 1.922933605 0.996494415 8.849944187 5.290860251 9.398365041 1.938844931 1.846524602 2.824015922 4.821140667 3.807458462 9.474736721 0.281642215 2.870149437 18.73510177 3.302031186 9.681370006 2.676298512 2.316275828 2.37815395 2.78345952 3.180689167 3.814484253 1.656020886 1.87730174 2.671330651 2.440252866 2.468907992 1.7318045 3.107976576 2.189889267 2.641015277 1.954909965 3.326513498 2.489447374 1.931935499 2.543968527 2.662724315 2.425455305 2.198562676 3.172373723 1.684914762 2.744563713 3.554280469 1.809271301 2.27643135 2.477574405 3.035386575 2.880990062 3.596146809 2.457848833 2.432241763 2.463103725 2.887306349 1.619325262 2.138331427 2.661702987 3.728815215 2.885364221 2.918269647 2.42183112 1.999471151 2.138524675 2.672297467 1.648530898 2.74280998 1.891252608 2.436145608 2.109300366 2.09142763 2.457622107 3.579035314 1.593294876 2.759080228 2.188590696 2.141015899 1.234830432 1.866238162 3.443074185 2.797491538 2.572361422 1.783954232 2.34328662 1.502115511 2.841329353 1.790345579 1.90163082 1.851325311 1.843994326 3.853129615 2.671041371 1.740718599 2.04058516 1.870464267 2.767367084 1.970575955 3.489994061 3.030539691 2.561626235 2.160909683 2.972980779 3.194409706 2.949849044 3.044998986 2.409484779 1.897900763 3.490885508 1.287693816 2.953696492 1.730167945 1.562729232 1.589751573 2.055503343 1.305271447 2.043406904 1.802187341 2.825030362 1.99086776 3.315869295 2.335004186 2.666300619 1.664247106 2.495589066 3.395736808 2.032769032 1.938718987 3.528552321 2.539889488 2.51126915 2.193259365 2.270815191 2.199574212 2.619035021 2.729799467 1.139306622 1.36563533 2.272654553 1.522615302 1.277643753 1.120704943 1.50885889 1.616847389 0.712745681 2.029146203 1.939626098 1.890460153 2.281907232 1.320380529 2.058911425 2.093715776 1.000477697 0.900122818 1.064786565 1.925960387 2.375193704 1.854605153 2.321603595 1.57518508 1.535659907 2.63765562 2.338895547 2.013591154 1.05550059 1.75357932 1.718971183 1.740956361 1.739786765 0.880116125 2.429354848 2.179770515 1.422656451 1.424304204 1.594915363 1.762022678 1.61661986 1.601772097 1.408881845 2.751082372 1.650185859 1.257316964 1.42768086 2.426143946 1.854826488 1.195297862 1.767532179 1.568443311 2.381180522 2.101329892 1.427369369 2.677638568 2.807387135 2.734238423 2.320673057 2.369906597 2.761138524 2.443759352 1.950163716 2.720848758 2.588578101 2.58174503 2.636904641 2.346859886 2.177998504 2.78966933 2.367516388 1.730884511 2.412160572 2.447331151 2.459411666 2.621959848 2.731883011 2.858123618 2.686701531 2.503445651 2.161060465 2.315402797 2.212285266 1.773389684 1.92842545 2.716330207 2.354241981 1.973778612 2.284684404 2.332101658 2.341537535 2.759405257 2.3768234 2.176514684 2.68280592 2.43574919 1.620312165 2.359017721 2.004213965 1.686603501 1.89080386 2.401620648 2.385027612 2.653425632 2.715213492 2.027685612 2.412150241 2.070498152 2.086430915 1.846632092 2.732130422 1.945029814 2.044435973 1.662203204 1.082250596 2.114655334 1.245813495 1.892410124 2.174110161 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3.983533577 6.528827789 8.932541192 4.349766981 1.200736131 8.671377638 2.580009123 10.20628472 2.908234184 13.95165472 1.067774092 0.44873121 12.46871327 5.305297211 4.176268816 0.021177502 2.458406385 0.309006001 4.196784452 0.733695858 5.409975663 3.603609132 2.100553072 3.63717012 0.209325434 2.088287012 0.909435447 5.943270249 2.885719172 4.310689289 0.522451304 2.618938219 4.658756792 1.598953414 0.889397371 5.26183862 7.355767876 2.696429327 2.44208788 0.51026953 1.162647897 7.771133118 2.396157397 1.963825973 2.146540394 2.687618336 3.262384899 2.190309693 2.197694333 3.195636166 2.088995957 2.118307143 2.10795547 1.941707101 2.61786257 2.024882953 1.708262272 2.680877722 2.074966406 3.617951693 3.062076235 2.779709281 2.116930096 1.972266526 2.694977491 2.213115885 2.965292892 2.261363315 3.372314852 2.579296641 2.977556875 2.109826319 2.479940952 1.920761545 2.396292092 3.111679172 2.332977114 1.866237005 3.621447742 2.104409842 2.177497555 1.725573765 3.049987823 3.766009368 2.776634108 1.878492238 1.873247069 3.922273724 2.36442497 1.965531613 2.260283855 2.795824379 1.83858884 2.3809848 3.548739362 2.048568152 2.497789472 1.635567352 1.630814641 2.071331181 2.034059741 3.059600577 2.639358304 3.060323351 2.399194647 3.20866563 1.505381715 2.49461622 1.765950552 1.859675217 2.696390787 1.853043092 3.495623763 3.069649341 1.218012055 1.909807353 1.854898351 2.094968542 3.162856169 1.592969796 1.336813852 2.619911491 1.46372126 2.905284102 1.890488023 2.048245968 3.371618456 1.45995022 2.591473637 2.735572999 2.137594968 2.490600259 2.59220931 3.627730068 1.726568096 2.413740902 2.715782196 1.84817183 1.704665259 3.50090341 2.193415936 1.284657625 2.335525075 2.081768904 1.415182296 1.912053966 2.536562762 1.507175689 1.824672258 1.90177619 3.116177005 1.581797949 1.987022765 1.867428632 2.921161971 1.70159836 3.255809847 2.044382243 1.086830559 2.797977434 2.692641488 0.859669641 1.510649759 0.908688914 1.906416687 2.000951053 1.778145269 1.203365884 2.178739849 2.156981558 1.890165338 2.435236636 1.360261115 1.975542621 1.990814901 2.192491951 0.986476048 1.822939019 2.200877652 1.486913454 1.875391937 2.05926076 1.793437602 2.131326231 2.794667 2.31348059 2.187999303 2.758737346 2.728130939 1.18367611 2.201493623 2.672809989 1.766503308 2.491548517 1.864020506 1.752948503 1.874531222 1.755025747 2.189031719 1.803147937 1.50930574 1.499754454 1.743968585 2.169132028 1.014998463 2.037281139 2.609335021 1.850107379 2.280166337 1.911247864 1.998525062 0.818346735 2.16338541 1.489970793 2.425369975 2.111041157 2.348621356 2.004528116 2.12887618 2.419137671 2.821717203 2.404340077 1.705136257 2.367435467 1.850290561 2.243435133 2.178944275 2.30431167 2.021940448 2.655122508 2.322388981 1.800356966 1.954033338 2.332272154 1.607314408 2.480131276 2.268900736 1.649341155 1.772658629 2.604002824 1.925194484 2.258501909 2.644390323 2.774491481 2.48560139 1.668703021 2.343653065 2.474740246 1.909187592 2.110353943 2.419065713 2.699607242 2.532980942 2.559507118 2.457850955 2.00978249 2.604787604 2.663554971 2.362021716 2.830185235 2.510477741 2.370959818 2.369377089 2.69346248 1.75944522 2.486726568 2.241563645 2.887835269 1.857893105 1.897578228 2.371744717 2.131737466 2.262876188 2.101064805 1.588902055 3.168230881 2.736271088 2.835961901 2.120607838 2.80882326 1.93941871 1.54301552 2.093868294 2.093405234 1.263894858 1.743624135 3.018219273 2.990357035 1.587709055 1.525519482 3.084552299 3.341693949 1.406128732 2.320088597 1.779893571 3.645513367 2.952794315 1.836731467 2.33754653 2.945761436 1.273529428 2.202854686 2.253279073 2.910127709 1.414967419 2.145152776 1.764743655 1.723261296 3.248268435 1.527500045 1.932730722 2.862310716 3.360304338 3.065742102 1.788133909 2.585516377 1.418322653 2.836558924 2.227253984 1.946401097 1.876625671 2.306196173 2.122394112 1.892336415 3.253531356 1.170845612 1.276253063 2.279092562 2.345124812 1.79256363 2.070389192 1.386182413 2.796915137 1.938594326 3.143334368 3.235641739 1.610601356 2.993458429 2.66749252 1.576881611 1.815454751 2.485097192 1.931811821 1.267031268 1.905368802 2.719041153 1.171889958 3.367848505 1.473467365 1.724732687 3.235530487 1.717202973 3.674878853 1.864157601 3.501441117 4.319054735 3.498595639 3.89653158 3.309022796 3.760025697 2.808729387 2.293747793 3.59666377 2.397647608 2.929184075 2.756604905 2.671475064 2.532471207 1.998753826 3.527841974 2.839386658 2.676608411 3.110633318 0.817812622 1.855342733 2.109832436 1.51488817 3.502078418 2.915055122 3.785372792 3.979658306 2.576055001 1.389468289 2.812804122 3.541305856 3.541999307 2.009796178 3.007745997 2.816501016 3.593154832 1.515307866 12.75776549 8.704594622 3.780918272 4.989036521 2.544851456 0.838316512 3.579828285 10.14284917 12.1443799 4.240170087 1.592795186 2.377686062 1.308561367 1.186665434 9.11680621 5.151538371 5.576594617 1.624750997 8.188614011 2.341833541 6.955536306 1.253740983 1.723024785 1.319539747 6.038178589 1.565349616 0.451564787 8.714513616 0.467443093 5.813949924 0.294268533 5.115496428 15.91769971 0.211272298 5.710281069 1.726794863 0.496711825 1.249447184 1.596945489 0.973011472 4.561004635 7.72217731 9.209049446 1.227625081 1.700013565 5.923680672 2.522625109 0.99388643 2.004337918 2.330503213 1.943593707 2.922033384 2.604356053 2.175918345 2.349557744 3.196522022 2.095386748 3.157047135 2.853610034 2.200338447 2.226303934 1.973299414 2.256542635 3.259666939 3.304755201 3.615843393 3.135995593 3.191125943 2.58763172 2.271516258 1.994146101 1.985822794 2.250044465 3.081194384 3.517025867 3.651846781 2.213742552 1.986769872 2.967880084 2.261658066 2.875860802 2.326399429 2.586743095 1.866085906 3.124487296 2.432858925 1.934438567 2.07215825 1.825740539 2.505651077 2.506239311 2.31590503 2.722425363 2.158844016 2.237881329 1.957732095 2.262208757 3.196362044 2.669718352 2.110040283 2.518773273 2.328083907 3.839508274 3.041032408 2.372125145 3.756478418 2.422366307 3.564849411 1.758798092 2.118761562 2.264492581 3.43568005 2.506569433 1.989977453 1.659361869 1.447247523 3.118100725 2.74537918 1.393960974 3.207736353 1.457353438 2.246317692 1.700906979 2.982799156 2.332518339 2.220946746 1.593145684 1.731850751 1.121129557 1.74933651 2.049290649 2.507729828 1.797427765 2.767069578 2.227788799 3.411706124 3.133128856 2.70511185 1.44591214 3.295696796 2.456456447 1.182939153 3.424893168 2.661450054 1.744172759 1.203413925 2.706344376 2.275178318 2.399102637 1.250059665 1.926076455 2.973509128 2.613583913 3.071631456 2.54277536 1.476327833 2.822451645 2.733470633 2.392357966 1.73861645 1.751825684 1.066379724 1.862182093 2.114081017 1.869181596 2.10876438 2.167183481 1.678383395 2.241051438 2.128688252 2.168892739 1.901416137 2.67902158 2.091465678 1.877024046 1.965360911 1.952194038 2.788018157 1.595744145 2.12205357 2.037468425 2.041065052 2.095730496 1.094402869 1.4910885 1.839630062 1.264402395 2.34566834 0.869319729 1.837198658 2.07043958 2.636049213 1.850254775 1.675703409 1.970142102 1.817073426 1.955788734 1.647240345 1.5319587 2.398395298 1.538348958 1.703067656 1.088453231 1.951885171 1.029436073 2.331970086 2.779752478 1.049050411 2.344627238 2.017542988 1.665068514 2.290448814 2.01010643 1.748657505 2.323698953 2.358769657 2.234634988 2.587158939 1.81338308 2.439173519 2.474172799 2.010260626 2.86693132 1.848996325 1.801422426 1.597786044 2.442772497 1.858619827 2.567480224 2.168672129 2.566132797 2.407438881 1.841614473 2.262753165 2.451901444 2.652087422 1.722939279 2.570775274 1.91082191 2.646344491 2.197498367 2.103359188 1.855403247 2.441891921 2.482874189 2.739761908 2.438332552 2.638116708 2.428293519 2.064190037 2.513333109 2.330423479 2.071059356 1.807221247 2.514738092 2.538722497 2.347459217 2.328236636 2.479309311 2.763219476 2.736104871 2.142637316 2.33930705 2.0903592 2.579369528 2.185726987 2.340331302 1.876538063 2.31894974 3.201291223 1.208666938 2.511504393 1.811990462 3.720792224 2.025331613 2.76910923 3.183179646 2.524097323 1.430812603 2.907359558 1.348714226 2.733049788 1.964012404 3.071698889 1.897864428 1.884917492 3.792812102 1.910452872 1.942565454 1.263789445 2.568486586 2.205300059 2.561650721 1.590644261 2.503589729 1.680896453 3.223268409 1.614913381 1.858874547 2.019192019 2.535039481 1.954933259 2.642743065 1.843524817 2.873850427 2.766524302 2.132141363 3.037491896 2.537268244 2.509161305 1.691935956 2.38192731 2.497655538 2.461565606 2.557026294 2.293975185 2.588939163 1.914618331 2.645484035 2.344918489 1.899625987 1.385490763 2.744847918 3.409537733 2.639345973 2.126478406 1.674038487 3.341974291 2.627867858 2.942780666 2.712303163 2.154769003 3.044464328 3.507090332 2.342849673 4.216715363 1.097173357 3.221225142 3.783037247 2.19984885 2.168116417 3.602671867 3.054473794 2.702978987 1.988681197 3.893955363 3.695207153 2.641743658 2.383247128 3.078349317 3.676733466 1.533554736 3.148805446 3.008924739 3.407196994 2.08925444 2.585826474 3.923356025 3.209437209 3.116014943 3.154671457 4.086784697 2.04135814 3.007641294 3.53791254 2.070419352 4.039769427 3.696509567 4.02798517 1.500645153 4.219060496 3.434083058 3.513846512 3.216798814 1.757615159 4.148830627 2.561966504 1. Description of the situation In a manufacturing line, 6 stations are placed in a sequence. Jobs arrive to station 1 and leave the line after they finish service at station 6. A queue has been set up in front of station 1. Currently the factory floor operates on the basis that, when service on a job finishes at a given station, such job can only move to the next station if and only if the next station is idle (not processing any job). Otherwise, the given station remains blocked as the finished job cannot move to the next stage. Each station takes some time to finish a job. When there are no jobs to process, the station sits idle. There are no quality checks in the line, and any quality checking and/or assurance would occur after the job leaves station 6. beyond the scope of the manufacturing line. Management is routinely reminded that the ultimate goal of the manufacturing line is to deliver finished jobs at the maximum rate possible in a way that the factory floor does not get overcrowded, let alone the arriving job reception area (the queue) right before station 1. 2. Input data Data on the times of job arrivals to the manufacturing line have been monitored, taken, and stored in a data file, available on Canvas. Also, in the same data file, the service times of the six stations can be found, presented as probability distributions 3. Problem Management is not satisfied with the current state of the operations at the manufacturing line. 4. Deliverable Use the information given above to argue what seems to be wrong with the manufacturing line. In other words, produce a Diagnosis of the current situation. In your diagnosis you can paraphrase or rephrase the situation described above, include graphical aids (diagram, picture) and use the raw data in the data file to pinpoint either unexpected occurrences, symptoms of malfunctioning or irregularities, etc. What you are encouraged to do is to take a look (literal look) at the data and try to detect any problems by means of a basic statistical approach. ArrivalTime ServiceRatel ServiceRate2 ServiceRate3 Service Rate4 Service Rates ServiceRate 4.551237828 2.601588975 2.333253189 2.77944895 2.290089344 2.270643879 3.50693002 5.079651849 2.002289806 2.622712285 1.926884814 1.867541015 3.414158617 2.24001821 1.010436581 1.736631024 1.642789743 0.629606289 2.785140814 1.545088593 0.864891397 9.641500096 2.197932293 1.350426918 1.935504422 2.500046715 3.506494085 3.786909207 8.383025122 2.502928351 2.552084362 1.328819645 2.47051777 1.582301327 2.684498239 18.05535613 2.07663835 2.296848729 1.896065161 2.193797101 2.84108462 3.867474544 16.04631005 2.673119336 1.731004488 1.540393243 2.372012473 2.271778975 3.315904463 0.026616158 2.727854908 3.404492943 2.080826262 2.013563914 1.787698555 3.435859926 18.84858901 3.437219421 1.873750389 2.161350238 2.185677098 2.120348078 1.747642771 1.157591547 2.261950243 2.643612465 1.643025183 1.911422191 1.788755075 2.068022635 1.615642301 2.649247216 2.98466186 1.999071964 2.378391183 1.521881718 3.180412076 2.195557912 2.232916627 2.569623653 2.716682681 2.319045185 2.64809927 3.343123517 4.034937851 2.830537857 1.962052116 1.008851772 1.833132048 2.696256769 3.372823646 1.289729554 2.966482719 2.836220505 0.963858502 2.189991235 2.673620749 1.541667952 13.01270225 2.934471523 3.363907679 1.158696321 1.896556493 2.946806036 2.815374312 1.184441148 2.085773691 2.334669083 2.16724636 2.880749513 2.496759382 3.06668104 1.593992237 1.917995162 2.679029303 1.621159165 2.574758926 2.635741929 2.021194294 6.57741049 1.786288841 1.533836738 1.884771055 2.655360091 2.726381543 3.923303742 8.948635793 1.809059188 2.005077699 2.346384212 2.343274826 1.565283142 3.444964174 0.227748653 3.178415632 2.184926538 2.050877761 1.697172031 2.195735906 2.418498258 4.102460805 2.163342937 2.701909168 1.206505942 2.929110713 2.744668023 2.824499726 1.232875657 2.810616663 2.445775663 1.347107676 2.231863709 2.552444707 2.310776968 15.4354733 2.420559231 1.478491102 2.603778429 2.059286651 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