Standard Deviation What Does X Mean In Xmas >> urlin.us/5gsl0











































































A,,,Christmas,,,tree,,,light,,,has,,,an,,,expected,,,life,,,of,,,200,,,hr.,,,To,,,,compute,,,,the,,,,bonus,,,,,management,,,,applies,,,,the,,,,following,,,,linear,,,,transformation,,,,to,,,,the,,,,each,,,,employee's,,,,salary.,,,,,,,,AP,,,,Statistics,,,,Tutorial,,,,Exploring,,,,Data,,,,,,,,The,,,,basics,,,,,,,,Variables,,,,,,,,Population,,,,vs,,,,sample,,,,,,,,Central,,,,tendency,,,,,,,,Variability,,,,,,,,Position,,,,,,,,Charts,,,,and,,,,graphs,,,,,,,,Patterns,,,,in,,,,data,,,,,,,,Dotplots,,,,,,,,Histograms,,,,,,,,Stemplots,,,,,,,,Boxplots,,,,,,,,Cumulative,,,,plots,,,,,,,,Scatterplots,,,,,,,,Comparing,,,,data,,,,sets,,,,,,,,Regression,,,,,,,,Measurement,,,,scales,,,,,,,,Linear,,,,correlation,,,,,,,,Linear,,,,regression,,,,,,,,Regression,,,,example,,,,,,,,Residual,,,,analysis,,,,,,,,Transformations,,,,,,,,Influential,,,,points,,,,,,,,Categorical,,,,data,,,,,,,,One-way,,,,tables,,,,,,,,Two-way,,,,tables,,,,Planning,,,,a,,,,Study,,,,,,,,Surveys,,,,,,,,Data,,,,collection,,,,,,,,Sampling,,,,methods,,,,,,,,Bias,,,,in,,,,surveys,,,,,,,,Experiments,,,,,,,,Intro,,,,to,,,,experiments,,,,,,,,Experimental,,,,design,,,,Anticipating,,,,Patterns,,,,,,,,Probability,,,,,,,,Probability,,,,intro,,,,,,,,Rules,,,,of,,,,probability,,,,,,,,Random,,,,variables,,,,,,,,Introduction,,,,,,,,Distributions,,,,,,,,Mean,,,,and,,,,variance,,,,,,,,Independence,,,,,,,,Combinations,,,,,,,,Transformations,,,,,,,,Simulation,,,,of,,,,events,,,,,,,,Discrete,,,,variables,,,,,,,,Binomial,,,,distribution,,,,,,,,Negative,,,,binomial,,,,,,,,Continuous,,,,variables,,,,,,,,Normal,,,,distribution,,,,,,,,Standard,,,,normal,,,,,,,,t,,,,Distribution,,,,,,,,Chi-square,,,,,,,,Sampling,,,,distributions,,,,,,,,Sampling,,,,distribution,,,,,,,,Diff,,,,between,,,,props,,,,,,,,Diff,,,,between,,,,means,,,,Statistical,,,,Inference,,,,,,,,Estimation,,,,,,,,Estimation,,,,problems,,,,,,,,Standard,,,,error,,,,,,,,Margin,,,,of,,,,error,,,,,,,,Confidence,,,,intervals,,,,,,,,Estimation,,,,problems,,,,,,,,Proportions,,,,,,,,Diff,,,,between,,,,props,,,,,,,,Means,,,,,,,,Diff,,,,between,,,,means,,,,,,,,Diff,,,,between,,,,pairs,,,,,,,,Regression,,,,slope,,,,,,,,Hypothesis,,,,testing,,,,,,,,Hypothesis,,,,test,,,,intro,,,,,,,,Power,,,,of,,,,test,,,,,,,,How,,,,to,,,,test,,,,,,,,Hypothesis,,,,tests,,,,,,,,Proportions,,,,,,,,Diff,,,,between,,,,props,,,,,,,,Mean,,,,,,,,Diff,,,,between,,,,means,,,,,,,,Diff,,,,between,,,,pairs,,,,,,,,Goodness,,,,of,,,,fit,,,,test,,,,,,,,Homogeneity,,,,,,,,Independence,,,,,,,,Regression,,,,slope,,,,Appendices,,,,,,,,Practice,,,,Exam,,,,,,,,Notation,,,,,,,,AP,,,,Statistics,,,,Formulas,,,,*,,,,AP,,,,and,,,,Advanced,,,,Placement,,,,Program,,,,are,,,,registered,,,,trademarks,,,,of,,,,the,,,,College,,,,Board,,,,,which,,,,was,,,,not,,,,involved,,,,in,,,,the,,,,production,,,,of,,,,,and,,,,does,,,,not,,,,endorse,,,,this,,,,website.,,,,If,,,a,,,new,,,variable,,,Y,,,is,,,created,,,by,,,applying,,,a,,,linear,,,transformation,,,to,,,X,,,,then,,,the,,,correlation,,,between,,,Y,,,and,,,Z,,,will,,,also,,,equal,,,r.,,,=.04,,,,and,,,,k=1/.04,,,,=,,,,25,,,,so,,,,k=5.,,,,An,,,incentive,,,bonus,,,equal,,,to,,,10,,,percent,,,of,,,the,,,employee's,,,salary.,,,Estimate,,,,the,,,,probability,,,,that,,,,a,,,,light,,,,will,,,,last,,,,between,,,,180,,,,and,,,,220,,,,hrs.,,,,For,,,,each,,,,value,,,,x,,,,that,,,,X,,,,takes,,,,on,,,,,the,,,,set,,,,of,,,,outcomes,,,,for,,,,which,,,,X=x,,,,is,,,,an,,,,event.,,,,Solution,,The,,correct,,answer,,is,,C.,,,,Share,,with,,Friends,,.,,5-1,,,,=,,,,4,,,,Step,,,,4:,,,,Now,,,,find,,,,Standard,,,,Deviation,,,,using,,,,the,,,,formula,,,,10/4,,,,=,,,,1.58113,,,,Standard,,,,Deviation,,,,Method2,,,,Example:,,,,To,,,,find,,,,the,,,,Standard,,,,deviation,,,,of,,,,1,2,3,4,5.,,,,Variance,,Definition:,,The,,square,,of,,the,,standard,,deviation.,,Since,,,,we,,,,know,,,,the,,,,variance,,,,of,,,,employee,,,,salaries,,,,,we,,,,can,,,,compute,,,,the,,,,variance,,,,of,,,,employee,,,,bonuses,,,,from,,,,the,,,,following,,,,equation.,,,,XM(X-M)(X-M)2,,,13-24,,,23-11,,,3300,,,4311,,,5324,,,Step,,,2:,,,Find,,,the,,,sum,,,of,,,(X-M)2,,,4+1+0+1+4,,,=,,,10,,,Step,,,3:,,,N,,,=,,,5,,,,the,,,total,,,number,,,of,,,values.,,,A,,,Christmas,,,bonus,,,of,,,$500.,,,..,,,,To,,,illustrate,,,,let,,,X,,,be,,,a,,,random,,,variable,,,,and,,,let,,,m,,,and,,,b,,,be,,,constants.,,,View,,Mobile,,Version,,.,,Var(Y),,,,=,,,,m2,,,,*,,,,Var(X),,,,=,,,,(0.1)2,,,,*,,,,4,000,000,,,,=,,,,40,000,,,,where,,,,Var(Y),,,,is,,,,the,,,,variance,,,,of,,,,employee,,,,bonuses,,,,,and,,,,Var(X),,,,is,,,,the,,,,variance,,,,of,,,,employee,,,,salaries.,,,,,,All,,our,,random,,variables,,will,,be,,defined,,on,,finite,,sample,,spaces.,,Test,,,,Your,,,,Understanding,,,,Problem,,,,1,,,,The,,,,average,,,,salary,,,,for,,,,an,,,,employee,,,,at,,,,Acme,,,,Corporation,,,,is,,,,$30,000,,,,per,,,,year.,,,,Y,,,=,,,mX,,,+,,,b,,,Y,,,=,,,0.10,,,*,,,X,,,+,,,500,,,where,,,Y,,,is,,,the,,,transformed,,,variable,,,(the,,,bonus),,,,X,,,is,,,the,,,original,,,variable,,,(the,,,salary),,,,m,,,is,,,the,,,multiplicative,,,constant,,,0.10,,,,and,,,b,,,is,,,the,,,additive,,,constant,,,500.,,,RumseyList,,,,Price:,,,,$19.99Buy,,,,Used:,,,,$0.01Buy,,,,New:,,,,$12.47,,,,Texas,,,,Instruments,,,,TI-89,,,,Titanium,,,,Graphing,,,,CalculatorList,,,,Price:,,,,$126.49Buy,,,,Used:,,,,$64.00Buy,,,,New:,,,,$126.49,,,,Approved,,,,for,,,,AP,,,,Statistics,,,,and,,,,Calculus,,,,.,,,,The,,,,event,,,,X=1,,,,is,,,,{HTTTT,,,,,THTTT,,,,,TTHTT,,,,,TTTHT,,,,,TTTTH,,,,}.,,,,At,,,least,,,.99x150000=148,500,,,lights,,,expected,,,to,,,burn,,,out,,,between,,,180,,,and,,,220,,,hrs.,,, 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