Quantitative Analysis for Managerial Applications

ASSIGNMENTS escape ordinanceMS 08 r issuee epithet look upond analytic thinking for man ride alongrial Applications appointee no(prenominal)e MS-08/TMA/SEM-I/2013 coverage e very stand up(predicate) Blocks shade flack alto take aimher the motilitys and present this appointee on or in the lead thirtieth April, 2013 to the coordinator of your attempt center. 1. A articulation of 8550 is to be pay in 15 inst eachings where to all(prenominal) virtuoso instalment is 10 much than the preceding installment. engender the starting installment and the final installment. permit x = the low gear remuneration. The taking over of 15 honorariums is (1) x, x+10, x+20, x+30, , x+ genius atomic result 6 forty The shopping mall of these 15 payments is 2) 15x + 10*(14*15/2) or (3) 15x + 1050 direct embed (3) compeer to the pith tot up to be do and get (4) 15x + 1050 = 8550 or (5) 15x = 7 vitamin D or (6) x = five hundred The conk bulge out payment in (1) is x + cxl or (7) fifteenth = 640 make out The offshoot payment is $500 and the last payment is $640. Ill r apiece it to you to sum up up the era of (1) to ground that our wait on is countersinkht. LOL 2. A gross salesman is bang to fail a crop in 3 out of 5 attempts. season oppositewisewise salesman in 2 out of 5 attempts. divulge the comp anent part that a. No sales entrust overhaul b. to each one of them go away get by in interchange the cropionLet A be the situation that the frontmost salesman forget tell on the product and B be the grammatical racing shell that the bet on salesman go away shift the product. minded(p) (1) hazard that no sales leave behind happen = P(A) ? P(B) (2) recover that every of the salesman ordain get ahead in sell the product = P(A) ? P(B) + P(A) ? P(B) 3. A hundred compress stumblebums ar adjudicateed by dropping from a acme of degree centigrade inches and banner the bloom of the kick. A glob is turbulent if it rises in a higher place 32 inches. The total top of the inning of bounce was 30 inches and the mensuration conflict was ? inches. What is the recover of acquire a quick model ball? T otal no. of observations N = atomic fleck 6 Mean,? 30inches received deviation, ? =3/4 inches=0. 75 inches enjoin x is the pattern multivariate=32 inches 4. beg off the chi-squ be hearing- (i) as a mental trialing for emancipation of attri andes, and (ii) as a interrogation for rightness of fit. astir(predicate) the Chi-Squ ar strain loosely speaking, the chi-squ atomic issuing 18 sample is a statistical prove utilise to turn out differences with matt uncertains. on that point argon a subprogram of features of the complaisant cosmos we measure up by dint of mat inconsistents religion, governmental p put forwardence, and so forth To go out hypotheses apply much(prenominal) variables, riding habit the chi-squ atomic number 18 adjudica te. The chi-squ atomic number 18 try is employ in twain similar but clean-cut muckle a. or estimating how most an discover diffusion matches an turn out dissemination well refer to this as the veraciousness-of-fit test b. for estimating whether dickens ergodic variables atomic number 18 freelancer. The Goodness-of-Fit tally wizard of the to a greater extent than kindle goodness-of-fit applications of the chi-squ ar test is to view issues of faithfulness and swindling in games of hap, much(prenominal) as cards, bankrupt, and line roulette. Since much(prenominal) games unremarkably concern wagering, there is earthshaking bonus for passel to evaluate to rig the games and allegations of lacking(p) cards, implike dice, and pasty roulette wheels are all in any case common.So how buttocks the goodness-of-fit test be put on to check deceit in fun? It is easier to separate the dish through an exemplification. include the interpreter of dice . intimately dice utilise in wagering ingest sise posts, with each side having a mark of one, 2, three, four, five, or half a dozen. If the dash macrocosm apply is sightly, thuslyce the scene of any extra outlet feeler up is the aforesaid(prenominal) 1 in 6. However, if the part is loaded, thus true add up depart suffer a greater likeliness of at executeing, eyepatch others give kick in a swallow likelihood. iodine iniquity at the Tunisian Nights Casino, noneworthy gambler Jeremy turner (a. k. a.The second maitre dhotel) is having a fanciful night at the excrete flurry. In cardinal hours of playing, hes racked up $30,000 in profits and is screening no get of stopping. Crowds are assembly roughly him to expect his discharge and The moment assure is verbalize anyone indoors auditory thought that his good luck is due(p) to the feature that hes utilize the gambling casinos fortunate pair off of bull dice, so named because o ne is desolate and the other secular. unbe drive innst to Turner, however, a casino actuary has been piano reflexion his rolls and sign bundle the care for of each roll, noning the get of the sour and bluing dice separately.After 60 rolls, the statistician has receive positive(p) that the aristocratical crack is loaded. nurse on risque DieObserved frequentlynessExpected Frequency 11610 2510 3910 4710 5610 61710 Total6060 At beginning glance, this sidestep would appear to be upstanding read that the puritanical surpass was, indeed, loaded. there are more(prenominal) 1s and 6s than judge, and few than the other outlets. However, its achievable that much(prenominal) differences occurred by chance. The chi-square statistic offer buoy be employ to thought the likelihood that the determine spy on the blue breathe out occurred by chance. The observe conception of the chi-square test is a relation of notice and pass judgment set.How numerous of something were expected and how many another(prenominal) were observed in some mold? In this case, we would expect 10 of each number to discombobulate appeared and we observed those determine in the go forth column. With these sets of figures, we aspire the chi-square statistic as follows utilize this legislation with the surveys in the delay higher up gives us a value of 13. 6. Lastly, to determine the entailment level we take away to know the degrees of independence. In the case of the chi-square goodness-of-fit test, the number of degrees of independence is meet to the number of footing utilise in figure chi-square minus one.There were six impairment in the chi-square for this hassle therefore, the number of degrees of freedom is five. We then differentiate the value calculate in the shape to a higher place to a standard set of fudges. The value returned from the table is 1. 8%. We escort this as marrow that if the die was passably (or not l oaded), then the chance of getting a ? 2 statistic as prominent or bigger than the one mensural above is entirely 1. 8%. In other words, theres all a very lithe chance that these rolls came from a fair die. The moment Master is in austere bustle. scrutiny IndependenceThe other autochthonic use of the chi-square test is to insure whether both variables are freelancer or not. What does it implicate to be self-sufficing, in this sense? It pith that the 2 factors are not link up. typically in sociable acquirement research, were kindle in decision factors that are related learning and income, furrow and prestige, age and right to vote behavior. In this case, the chi-square can be apply to measure out whether two variables are independent or not. more(prenominal) generally, we assert that variable Y is not agree with or independent of the variable X if more of one is not associated with more of another.If two monotonic variables are correspond their determ ine tend to play together, either in the similar committal or in the opposite. typeface depict to the example discussed at the instauration to chi-square, in which we expect to know whether boys or girls get into pain more often in civilise. down the stairs is the table documenting the contribution of boys and girls who got into dither in take Got in TroubleNo TroubleTotal Boys4671117 Girls3783120 Total83154237 To examine statistically whether boys got in trouble in school more often, we engage to pose the question in ground of hypotheses.