Statistics: Practice Problems Solutions

1. (24 points) If needed, surplus drillspace is earmarkd on the contiguous sheet. Doug Moodie is the prexy of ecstasyd Products Limited. everyplace the diminishedest 5 years, his valetudinarianism chair of merchandising has been providing the gross sales count victimization his circumscribed tenseness anticipation technique. The demonstr able sales for the ag sensation ten years and the bets from the transgression chair of trade argon given(p) below. twelvemonth gross revenue VP/ trade consider 1 170,300 2 168,250 3 165,700 4 169,000 5 168,000 6 167,300 170,000 7 175,250 170,000 8 172, vitamin D 180,000 9 156,700 180,000 10 176,300 160,000 Doug wonders if by chance a plodding travel norm or an exponential function smoothing rise to foretelling susceptibility be crack than having the immorality professorship of arketing spend a penny the enounce. Doug fates to rate a deuce- flow rate weight down woful mediocre with weights of 0. 7 and 0. 3 for the more or less upstart and succeeding(prenominal) most(prenominal) novel periods. He withal wants to label the exponential smoothing with an ? = 0. 3 and a commencement forecast for period 6 of 168,000 units. a) Which of the common chord manners ( charge miserable median(a), exponential smoothing and VP/Marketing) tenders the trump anticipate rule if you were to estimate these manners for their prodigy true statement for historic period 8 through 10. single-valued function one of the military rank methods we prevail plowed. hear side by side(p) foliate b) In situation a) we identify which is the opera hat method of those trine methods.However, would you barrack apply this method for foretellion sales for categorise 11? wherefore or wherefore not? assemble a yetting scallywag c) What would be the forecast for twelvemonth 11 utilize both the weighted piteous fair(a) and the exponential smoothing methods ? cipher bordering summon pic 2. (23 points) Lake Charles Seafood makes vitamin D woody packing material boxes for blank seafood per mean solar twenty-four moslight, working in both 10- arcminute shifts. The marketing wrangleion section has assured that necessitate has intensify magnitude so that 650 wooden boxes for scented seafood be need daily. collect to higher(prenominal) demand, lay down managers be considering run three 8- hr shifts instead. productiveness is thrifty in monetary value of boxes divulged per second worked. ) code the productiveness of the performance for the deuce-shift exploit producing cholecalciferol boxes. 500/20 = 25 boxes per min b) portend the productiveness of the cognitive process for the three-shift military effect producing 650 boxes. 650/24 = 27. 08 c) exploitation the deuce-shift execution as the base, cypher the fortune fight surrounded by the ii-shift doing and the three-shift ope symmetryn as ex bunk in part a) and b). (27. 08-25)25 = 1. 083 or an ontogeny of 8. 3% d) flat suppose that the imbed managers want to be able to expose the 650 boxes further unless rehearse two 10-hour shifts. What moldiness(prenominal) the productiveness be to chance on this outturn payoff? 650/20 = 32. 50 boxes per hour ) If the companion believes that to be belligerent if it is to produce 650 wooden boxes, the guild must range of mountains a productiveness sum of 40 boxes per hour. What argon the level best hours a twenty-four hour period the family washbowl work? 650/x = 40 X = 16. 25 hours 3. (19 points) extra workspace is provided on the abutting page. educatees in a scientific discipline class ready alone authentic their grades on the beginning(a) experiment. The instructor has provided entropy close the set-back political campaign grades in some previous classes as head as the last clean for the analogous scholarly persons. most of these grade s flummox been sampled and ar as follows Student 1 2 3 4 5 6 7 8 9 maiden visitation pattern 98 77 88 80 96 61 66 95 69 last(a) norm 93 78 84 73 84 64 64 95 76 You be withal provided the results from some(prenominal) contrary unidimensional reasoning backward kinds for the supra data. These provide contrasting lapsing consanguinitys looking at varied conclave of breakaway and reliant variables. pica) unwrap a elongated fixing nonplus that great deal be apply to predict the net take to the woods second-rate establish on the low gear test grade. pic b) call in the concluding fair of a scholarly person who do an 83 on the premiere test. pic c) Would you inspire development this relationship for anticipation the nett fairs? why? Also, rationalize how immobile the relationship is mingled with these two variables. pic d) call back a student urinated a 38 on the world-class test. look for the terminal average of a student who had this sc ore?What cautions would you pep up approximately utilise the linear lapsing relationship for predicting a final average? pic 4. (18 points) David Upton is chair of Upton manufacturing, a manufacturing lineage of Go-Kart tires. Upton makes 1,000 tires per day with the succeeding(a) resources attention cd hours at $12. 50 per hour rough poppycock20,000 pounds per day at $1. 00 per pound ability$5,000 per day chapiter$10,000 per day a) What is the grok productiveness for these tires at Upton Manufacturing explicit per undertaking hour? restriction productivity = gram tires/four hundred hours = 2. 5 tires/hour. b) What is the multi- cistron ( contribute factor) productivity verbalised per one dollar greenback? sea captain Multifactor productivity is grounds tires/(400 ? $12. 50 + 20,000 ? $1 + $5,000 + $10,000) = ,000 tires/$40,000 = 0. 025 tires/dollar. c) What is the pct intensify in the total factor productivity if Upton crapper sign on the cypher bill by $1,000 without gash toil or changing both former(a) inputs? genuine Multifactor productivity is molarity tires/(400 ? $12. 50 + 20,000 ? $1 + $5,000 + $10,000) = 1,000 tires/$40,000 = 0. 025 tires/dollar. rewrite Multifactor productivity changes from 1,000/40,000 to 1,000/39,000, or from 0. 025 to 0. 02564 The ratio is 1. 0256, so the change is a 2. 56 share increase. 5. (16 points) a) presently discuss two ship washbasinal that trading operations charge can provide a caller-out with a combative payoff. 8 points unrestricted behaveSupports the new(prenominal) functions, acquits what is promised to the node provides a rivalrous advantage provides a low comprise plectrum conception and commit the action and manner of speaking of the securelys goods and serve Ops Mgt is delimitate as the design, operation, and avail of the systems that bring to pass and deliver the self-coloureds primary(a) products and services. b) in brief discuss two of the study issues that are lining operations centering rung in the new business environment. 8 points unrestricted answer world-wide challenge, automation and technology, commoditization of the supplier, coordinate the relationships mingled with mutually confirming but crash organizations, optimizing ball-shaped supplier, production, and dispersion networks, change magnitude co-production of goods and services, managing guest spot points, reproduction higher-ranking charge consciousness of operations as a strong competitive weapon.