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HP Prime Graphing NW280AAABA manual One-Proportion Z-Interval, Int 1π, Number of successes

Models: Prime Graphing NW280AAABA

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Inputs

The inputs are:

Field	Definition
name

x1	Sample 1 mean
x2	Sample 2 mean
n1	Sample 1 size
n2	Sample 2 size
σ1	Population 1 standard deviation
σ2	Population 2 standard deviation

CConfidence level

Results

The results are:

Result Description

CConfidence level

Critical Z Critical values for Z

Lower	Lower bound for Δ μ
Upper	Upper bound for Δ μ

One-Proportion Z-Interval

Menu name	Z-Int: 1π
	This option uses the Normal Z-distribution to calculate a
	confidence interval for the proportion of successes in a
	population for the case in which a sample of size n has a
	number of successes x.
Inputs	The inputs are:

Field Definition name

xSample success count

nSample size

CConfidence level

254	Inference app

Page 258

Image 258

HP Prime Graphing NW280AAABA manual One-Proportion Z-Interval, Int 1π, Number of successes

Contents

HP Prime Graphing Calculator User GuideEdition1 Part Number NW280-2001 Legal Notices Product Regulatory & Environment InformationPrinting History EditionJuly Page Contents Application Library App views Symbolic view Plot viewCommon operations in Plot view Zoom Trace Function app 233 Computed statisticsGetting started with the Parametric app 271 Getting started with the Polar app 277Variables Lists Basic integer arithmetic Status messagesPreface Manual conventionsFunction, Polar, Parametric, Ans, etc Getting started Before startingOn/off, cancel operations Display Sections of the display Lowercase when a key is pressed Be entered in uppercase when aUppercase when a key is pressed You are working in CAS view, notNavigation Touch gestures Keyboard Context-sensitive menu Entry and edit keys Primary entry and edit keys areEan operators Minute, or second symbol accordComparison operators and Bool CharactersShift keys Adding text Math keys Math templateMath shortcuts Pressing ca third time will cycle back to Fractions Hexagesimal numbers236…. Press conce to see 219602 and again to see Original decimal representationEEX key powers Return home H Enter 4BQ13 s6B23n 3BQ5Menus To select from a menuInput forms Toolbox menusAlternatively, select the field and tap System-wide settings Home settings23E2 in Scientific Becomes 123.46Fixed 2 format Becomes 1.23E9 in EngineerOr a+b*i Menus are presented descriptively Commands on the Math and CASShorthand. The default is to provide Or in common mathematicalYYYY/MM/DD, DD/MM/YYYY, or MM/DD/YYYYSpecifying a Home setting Press SH Settings to openMathematical calculations Where to startAlways one-dimensional Choosing an entry typeRPN Reverse Polish Notation. Not available in CAS view Examples that follow assume that the entry mode isEntering expressions TextbookExample Parentheses R23jw14S j8nQ3 h45EE45+Sz Negative numbersAlgebraic precedence Sj85s9Reusing previous expressions and results Explicit and implied multiplication Large resultsUsing the clipboard To reuse the lastResult Storing a value in a variable Sj2ESjS+E Szj AaE Szj AQAcEExample To assign π2 to to the variable a Complex numbers Sharing dataR2o3 Ay6E When is tapped HP Prime to anotherOnline Help Reverse Polish Notation RPN RPN Reverse Polish NotationRPN is available in Home view, but not in CAS view History in RPN mode Results Re-usingSample calculations SzX3Reverse Polish Notation RPN Manipulating the stack SwapStack Show an item Delete an item Delete all items Computer algebra system CAS CAS viewCAS calculations Menu buttons in CAS view are Assigns an object to a variableAsw2 Settings2Asj+3 5Asjw6Ments Radians or Degrees Standard or Scientific or EngineeringRecursive Replacement See also Recursive Evalua Tion aboveComputer algebra system CAS Computer algebra system CAS Exam Mode Don’t want disabled are not selected Modifying the default configurationPress SH. The Home Settings screen appears Tap Press O+ A+ cCreating a new configuration Before, the only base configuration will be Default ExamActivating Exam Mode To activate exam mode Tap If a configuration other than DefaultModifying configurations Cancelling exam modeTo change a configuration To return to the default configuration Deleting configurationsTap Exam Mode screen appears Exam Mode An introduction to HP apps Linear Solver EquationsSolve Explore equations in one or more real Application Library To delete an app Other options Confidence level, and select a type Symbolic viewApp views TestSymbolic Setup view Symbolic view Plot viewSolve Plot Setup view Test selected in Symbolic view Numeric viewAdvanced View a table of numbers generated by Graphing Numeric Setup view Symbolic view, and set the zoom factorAdvanced Specify the numbers to be calculated Graphing 4Szf n2f jE Quick exampleOpen the app N2fPress P Press SP Set the second θRNG field to 4π by enteringPress Pto return to Plot view and see the complete plot Common operations in Symbolic view Θ column to be 1. You set this up in the Numeric Setup viewNumeric View Add a definition Modify a definitionDefinitional building blocks From Home variables F9X=X2+Statistics2Var.PredY6 Evaluate a dependent definitionSelect or deselect a definition to explore X2+X+ 2 *X2Choose a color for plots Delete a definitionSymbolic view Summary of menu buttons Restore default settings Common operations in Symbolic Setup viewOverride system-wide settings Press SYto open Symbolic Setup viewCommon operations in Plot view ZoomZoom factors Zoom options Center on By the X Zoom and Y Zoom settingsZoom setting Shortcut press wShows a representative piece of the plot Given the supplied x axis settings. ForGraph with the original plot settings Apps, autoscaling rescales both axesSplit-screen Testing aZoom with ViewingShown, tap OutDecimal SquareAutoscale IntegerTrace TrigTo evaluate a definition To turn tracing on or off Common operations in Plot Setup view Configure Plot viewPlot view Summary of menu buttons Sequence Only Parametric OnlyPolar only Stats 1 Var onlyPanning and zooming Sets the initial range of the x-axis. NoteThat here are two fields one for Sets the initial range of the y-axis. NoteGraphing methods Restore default settings Common operations in Numeric viewZoom options Zoom keys Zoom menu Evaluating Custom tables Deleting dataNumeric view Summary of menu buttons Start typing a new value Only visible if Numtype is set toSelect Ascending or Descending , Common operations in Numeric Setup view Modifying Numeric SetupCombining Plot and Numeric Views Adding a note to an appCreating an app Fibonacci in this example App functions and variables Asjw5Tap This opens a menu of app variables Select Statistics 1Var results MeanXFunction app Getting started with the Function appOpen the Function app ISelect Open the Function app Define the expressionsRdw1 jw3E FunctionSet up the plot Plot the functions Trace a graph Change the scale Display Numeric view Set up Numeric view Display the Numeric Setup view SMSetupTo navigate around a table Press SJClear to reset all the settings to their defaultsExplore Numeric view Substituted the values in the X column for xTo access the zoom To go directly to a valueOptions To find a root of the quadratic function Analyzing functionsDisplay the Plot view menu =or\Functions To find anIntersection of two IntersectionTo find the slope of the quadratic function To find the signed area between the two functions Extremum Function VariablesTo find QuadraticTap and select Function Select Results and then the variable of interestSummary of FCN operations Named ExtremumSlope Advanced Graphing app Getting started with the Advanced Graphing app + n5 Open the app Define the open sentenceJn2 ISelect Advanced Graphing128 Advanced Graphing app Advanced Graphing app 129 Inequalities, for example You can move in any direction withinRegion. Use this option for EdgeNumeric view Display the Numeric view Explore Numeric view Numeric Setup Trace in Numeric viewTrace Edge Sj3n2Trace PoI Plot Gallery Exploring a plot from the Plot GalleryGeometry Getting started with the Geometry app3seASsE Plot FunctionWith plotfunc on the entry line, enter 3*sinx More Tangent Create a Derivative pointAdd some calculations AbscissaGB,slopeGC140 Point D is the point whose ordinate value matches Plot view in detailDerivative Derivative changes by looking at a plot of it rather than142 Hiding names Selecting anObject Moving objectsRemoving fill Coloring objectsFilling objects UndoingObjects Clearing anClearing all Moving aboutPlot view buttons and keys Key Result in Plot view Symbolic view in detail Hiding an object Re-orderingEntries Tap either To move it down the list or Move it upDeleting an Can delete an object in Symbolic viewNumeric view in detail Tap Or press C To delete all objects, press SJListing all Enter radiusGC152 Geometric objects PointsMore Element 0 . . Notice Line Polygon NgonCurve SpecialTriangle’s three vertices Circumcircle is the circleThat passes through each Thus enclosing the triangleSpecial Locus places Geometric transformations Symmetry axis defined in step Tap Select ReflectionAxis and press E. The object is reflected across Given scale factor around a given point as centerSelect Transform Rotation GK,angleGK,GL,GM164 Point Geometry functions and commandsSymbolic view Cmds menu BarycenterElement CenterDivisionpoint InterOrthocenter IsobarycenterMidpoint PointErase trace Point2dStop trace DrawSlpHalfline BisectorExbisector LinePerpenbisector MedianlineParallel Medianlinepoint1, point2, point3Tangent PerpendicularSegment Draws a segment defined by its endpointsEquilateral triangle0,6 draws an equilateral EquilateraltriangleHexagon Equilateral triangle0,6, v draws an equilateralParallelogram IsoscelestriangleIsopolygon IsoscelestriangleGA, GB, angleGC, GA, GBRectangle PolygonQuadrilateral RhombusRighttriangle SquareTriangle Conic CircleCircumcircle CircumcircleGA, GB, GC draws the circleHyperbola EllipseExcircle Excirclepoint1, point2, point3Locus TransformIncircle ParabolaReflection InversionProjection Draws the orthogonal projection of a point onto a curveTranslation RotationSimilarity RotateGA, angleGB, GC, GD,GK rotatesMeasure Plot Numeric view Cmds menu MeasureArcLen AffixAngle AreaDistance2 CoordinatesDistance Area4-x2/4, x=-4..4 returns 14.666…Ordinate EquationExtractmeasure ParameqIscollinear TestRadius IsconcyclicIsisoceles IselementIsequilateral IsorthogonalIsperpendicular IsparallelIsparallelogram IsrectangleConvexhull Other Geometry functionsIssquare HarmonicconjugateIsharmoniclinebundle IsharmonicIsharmoniccirclebundle IsrhombusOpenpolygon LineHorzLineVert PolarRadicalaxis PowerpcPole ReciprocationVertices SingleinterVector Verticesabca194 Spreadsheet Getting started with the Spreadsheet appTo open the Spreadsheet app, press Iand select Spreadsheet 196 Select the heading cell for column C, tap and select Select cell D1 Enter a formula to add up your takingsSelect cell C3 Enter a label for your total commission Select cell C5Ancostse Enter a label for your fixed costsBasic operations Navigation, selection and gesturesCell references Cell namingMethod Entering content Enter Cost and tapCOST*0.33 and tap Enter Statistics1Var.D1 External functions Select Polynomial Find RootsTo copy one or more cells, select them and press SVCopy External referencesCopy and paste Format, both value and format, or both formula and formatReferencing variables Using the CAS in spreadsheet calculations = Row2-√Row-1. The onlyLine is active Buttons and keysHandled by the CAS, but only Evaluates it Changes toFormatting options Formatting options appearFont Size Auto or from 10 to 22 point Format Parameters Spreadsheet functions Statistics 1Var app Getting started with the Statistics 1Var appStatistics 1Var Sample data in D1 Editing. Tap when done Symbolic view menu itemsMenu items you can tap on in Symbolic view are Enters D directly to save you having to press two keys214 Configure a histogram plot for the data Setup Entering and editing statistical dataSpreadsheet.A1A10 D7 E Edit a data set1Var app open, return to Home view and enter Menu items you can tap on in Numeric view areDelete data Insert data Generating data Sort data values Computed statistics To plot statistical data PlottingPlot types HistogramLine plot Box-and-WhiskerNormal probability Bar graphExploring the graph Setting up the plot Plot Setup viewPareto chart Data in descendingPlot view menu items Menu items you can tap on in Plot view areAdvertising minutes Resulting sales $ Statistics 2Var appGetting started with the Statistics 2Var app Dependent, yStatistics 2Var Enter the advertising minutes data in column C1 2E1E3E5E5E4Statistics 2Var app 225 Setup plot Plot the graph Display the equation Predict values Spreadsheet.A1A10 C7 E Numeric view menu items Buttons you can tap on in Numeric view areTap , make your change, and tap Delete data Insert data Sort data values DescendingDefining a regression model Fit typesFor growth. You can store a Where L is the saturation valueFits the data to a logistic curve Positive real value in L, or-ifSCOV COVΣXY Plotting statistical data SerrYTracing a scatter Tracing a curveTracing order Plotting mark Plot setupPlot view menu items ConnectPredicting values Home viewTroubleshooting a plot Open Inference appGetting started with the Inference app InferenceSymbolic view options Test μ1 μ2, the T-Test onSample mean Sample size Select the inference method Enter dataTest 1 μ from the Type menu Population standard deviation Alpha level for the testDisplay the test results Plot the test results Importing statistics Open the Statistics 1Var app Clear unwanted data Enter data82.5 E 83.1 E 82.6 E 83.7 E 82.4 E 83 E Tap on the Method field and select Calculate statistics Open the Inference appSelect inference method and type Import the data Confidence IntervalResults Hypothesis testsDisplay NumericallyOne-Sample Z-Test Menu nameInputs Two-Sample Z-Test One-Proportion Z-Test Two-Proportion Z-Test With the test Z-value One-Sample T-TestTest Z Test statistic Test Δ pˆ Difference between This test measures the strength of the evidence for aTwo-Sample T-Test Test μ1 μ2Each sample from a different population, this test Sample 1 standard deviation Sample 2 standard deviationΑ level that you supplied Confidence intervals One-Sample Z-IntervalTwo-Sample Z-Interval Number of successes One-Proportion Z-IntervalInt 1π Sample success count Sample size Confidence levelConfidence interval for the difference between Two-Proportion Z-IntervalMenu name Int π1 π2 Proportions of successes in two populationsOne-Sample T-Interval Two-Sample T-IntervalResult Definition 258 Solve app Getting started with the Solve appClear the app and define the equation One equationOpen the Solve app AVjS.AU j+2AAADEnter known variables Solve the unknown variableKph over a distance Is approximately 2.4692 m/s2 Select Auto Scale Select Both sides of En Where n is the number of the selected equationPlot the equation Matches the value of a you calculated aboveSeveral equations Open the Solve app Define the equations Enter a seed valueAXj+AYj S.16E AXwAYS. Q1E Limitations Solve the unknown variablesSign Solution informationZero ReversalBad Guesses Constant? No values satisfy the selected equation or expressionValue of the equation is the same at every point sampled Open the Linear Solver app. ISelect Linear Solver appGetting started with the Linear Solver app Linear SolverDefine and solve the equations Coefficients and constants had been enteredMenu items Solve a two-by- two system270 Open the Parametric app Parametric appGetting started with the Parametric app ParametricDefine the functions 8ed? 8fd?Set the angle measure Set up the plot Plot the functions Degrees274 Tap .The table scrolls to the value you entered 276 Getting started with the Polar app Open the Polar app ISelect Polar App opens in Symbolic viewPolar app Open the Polar appSet angle measure Set up the plot 5Szf dn2 fdjDefine the expression 5πcosθ/2cosθ2 Plot the expression Explore the graph 280 Polar app Sequence app Getting started with the Sequence appOpen the Sequence app ISelect App opens in Symbolic view Define the Fibonacci sequence+ E SequencePlot the sequence Select Stairstep from the Seq Plot menuDisplay Numeric view Explore the table of values Another example Explicitly-defined sequences Set up the table of valuesDefine the expression Setup the plot RQFandPlot the sequence Explore the table of sequence values Finance app Getting Started with the Finance app288 Cash flow diagrams Time value of money TVM TVM calculations Another example PMT292 Calculating amortizations To calculate amortizationsAmortization graph Finance app 295 Tapping Triangle Solver appGetting started with the Triangle Solver app Open the Triangle Solver app ISelectSpecify the known values Choosing triangle types Solve for the unknown valuesSpecial cases Triangle Solver app 299 Explorer apps Linear Explorer appGraph mode Between them by tapping orEquation mode Tap to enter Test modeQuadratic Quadratic Explorer appOpen the app ExplorerTap To see the correct answer and tap Exit Test mode Equation modeIts value. When you are ready, tap To see if you Graphs that are harder match by tapping RespectivelyTrig Explorer app Trig ExplorerCursor keys. All four keys Tap To switch toGraph by pressing Are available.Tap to see the correct answer and tap to exit Test mode Now press the cursor keys to select each parameterFunctions and commands All the functions and commands308 Keyboard functions Abbreviations used in this chapterNORMALICDFμ,σ,p E5 returns +,w,s, nShex ALOG3 returnsEfg 1returns +2*i returns -1-2*i2returns Math menu NumbersArithmetic Example XPON123456 returns 5 since 105.0915... equalsMaximum Maximum. The greater of two values Example ARG3+3*i returns 45 degrees mode Modulus Modulo. The remainder of value1/value2Percentage x percent of y that is, x/100*y Example Trigonometry Hyperbolic ProbabilityPERM5,2returns Normal Random real number with normal distribution Nμ,σNORMALD0.5 and NORMALD0,1,0.5 both return RANDSEEDvalueNORMALDμ,σ,x STUDENTn,xIs a real number FISHERCDFn,d,x CHISQUARECDFn,kCHISQUARECDF2,6.1 returns FISHERCDF5,5,2 returnsList Matrix SpecialCAS menu AlgebraNumera,b Syntax substExpr,Var=valuePartfracRatFrac or Opt Denoma/bCalculus DiffExpr,var DiffExpr,var1$k1,var2$k2LimitExpr,Var,Val,Dir1, 0 CurlExpr1, Expr2, …, ExprN, Var1, Var2, …, VarN SeriesExpr,Equalvar=limitpoint,Orde r,Dir1,0,-1SumExpr,Var,Real1, Real2,Step DivergenceExpr1, Expr2, …, ExprN, Var1, Var2, …, VarNHessianExpr,LstVar GradExpr,LstVarHessian Returns the Hessian matrix of an expression IbpufVar, uVar, Var, Real1, Real2TaylorExpr,Var=Value,Order PrevalExprFvar,Reala,Realb,VarSumriemannExprXpr,Lstvar1,var2 DivpcPoly1,Poly2,IntegerSolve CsolveEq,Var CsolveEq1, Eq2,…, Var ZerosExpr,Var or zerosExpr1, Expr2,…,Var1, Var2,…Zerosx2-4 returns -2 CZerosExpr,Var CZerosExpr1, Expr2,…,Var1, Var2,…Rewrite Pow2expExpr TexpandExprExp2powExpr Exp2trigExprAcos2asinExpr Asin2atanExprSin2costanExpr Acos2atanExprAtan2acosExpr Atan2asinExprAtan2asinatan2*x returns Tan2sincosExprAtrig2lnExpr TrigcosExprTrigtanExpr TlinExprTrigInteger NextprimeInteger GcdIntgr1, Intgr2,…IsPrimeInteger PrevprimeIntegerIremIntgr1, Intgr2 PolynomialIquoIntgr1, Intgr2 Powmoda, n, p,Expr,VarFactorsPoly or factorsPoly1, Poly2,… CoeffPoly, Var, IntegerDivisPoly or divisPoly1, Poly2,… GcdPoly1,Poly2Symb2polyExpr,Var Symb2polyExpr, Var1, Var2,… Poly2symbVector, VarPcoefVect PminMtrx,Var QuoList1, List2, Var QuoPoly1, Poly2, VarRemList1, List2, Var RemPoly1, Poly2, Var FactorxnPoly ContentPoly,VarDegreePoly SturmabPoly,Var,a,bGreducePoly1, Poly2 Poly3 …, Var1 Var2… CyclotomicIntegerGbasisPoly1 Poly2…, Var1 Var2… HermiteIntegerTchebyshev1Integer LagrangeX1 X2…, Y1 Y2…LaguerreInteger Tchebyshev2IntegerPlot App menu PlotodeExpr, Var1, Var2, X0, Y0PlotlistX1, Y1, X2, Y2, … Function app functions SOLVEEn,var,guess Solve app functionsSpreadsheet app functions SOLVEX2-X-2,X,3returns2=STAT1A25A37,h n FunctionNameinput,optional Parameters=STAT1A25A37 As in SUMB7C23Specify a block of cells, as in AVERAGB7C23 Calculates the arithmetic mean of a range of numbersFor example, AVERAGEB7B23 returns the arithmetic Finance appSet to Second column is treated as the weight of the firstColumns are multiplied to generate a data point Place column headers Place row headers SerrREGRSInput range,model, configuration STAT1A25A37STAT1A25A37,h n x σ Example REGRSA25B37,2 PredYmode, x, parameters PredYPredX PredXmode, y, parametersHypZ1mean x, n,μ0,σ,α,mode, configuration HypZ1mean The one-sample Z-test for a meanHypZ1mean0.461368, 50, 0.5, 0.2887, 0.05 HypZ1prop HypZ2mean0.461368, 0.522851, 50, 50, 0.2887, 0.2887, 0.05HypZ1propx,n,π0,α,mode HypZ2prop HypZ1prop21, 50, 0.5, 0.05,1HypT1mean The one-sample t-test for a mean Mode Specifies which alternative hypothesis to use ≠ μ0HypT1mean x ,s,n,μ0, α,mode,configuration HypZ2prop21, 26, 50, 50, 0.05HypT2meanx1,x2,s1,s2, n1,n2, α,pooled,mode, configuration ConfZ1mean x ,n,s, C,configurationConfZ1mean0.461368, 50, 0.2887 ConfZ2mean x1, x2, n1, n2,s1,s2,C, configurationConfZ1propx,n,C,configuration ConfZ2mean0.461368, 0.522851, 50, 50, 0.2887, 0.2887ConfZ2prop ConfT1meanConfZ1prop21, 50 ConfT1mean0.461368, 0.2776, 50 ConfT2mean x1, x2, s1,s2,n1, n2,C,pooled, configurationStatistics 1Var app functions ConfT2mean0.461368, 0.522851, 0.2776, 0.2943, 50, 50, 0Do1VStats SetFreqSetSample Do2VStats Statistics 2Var app functionsResid SetDependDoInference Inference app functionsSetIndep HypZ1meanTest π value Critical value of π associated with the critical Z-valueHypZ2mean x1, x2, n1, n2,σ1,σ2,α,mode Test Δπ value HypT1meanOrder Critical value of the statistic associated withHypT2meanx1,x2,s1,s2, n1,n2, α,pooled,mode ConfZ1mean ConfZ2meanConfZ1prop Two proportions. Returns a list containing in order Solves for the future value of an investment or loan Finance app functionsCalcFV CalcFVNbPmt,IPYR,PV,PMTV,PPYR,CPYR,BEGCalcPMT CalcIPYRCalcNbPmt CalcPVSolve2x2 Linear Solver app functionsTriangle Solver app functions Solve3x3SASside,angle,side AASangle,angle,sideASAangle,side,angle SSAside,side,angleLinear Explorer functions DoSolveSolveForYIntercept SOLVEa, b, c Quadratic Explorer functionsCommon app functions DELTAa, b, cUNCHECKDigit Ctlg menuFunction.CHECK1 Enter Sequence.UNCHECK2Percent of y. Returns x/100*y Example Change Percent change from x to y. Returns 100*y-x/xVar=expression List1.*List2 or Matrix1.*Matrix2List.Integer or Matrix.Integer 3,4.*3,4,5,6 gives 3,8,15,24AbcuvPolyA, PolyB, PolyC, Var A2qMatrix, Var1, Var2…A2q1,2,4,4,x,y returns x2+6*x*y+4*y2 Abcuvx2+2*x+1,x2-1,x+1 returns 1/2 -1/2Append Appends an element to a list or vector Canonicalform2*x2-12*x+1 gives 2*x-32-17 BasisMatrixCanonicalformQuadraticExpr,Var CatObject1, Object2,…ColDim Returns the number of columns of a matrix Companion Returns the companion matrix of a polynomial Complexrootx3+8, 0.01 returnsCopyVarVar1,Var2 ContainsList, Element or containsVector, ElementContains0,1,2,3,2 returns CorrelationList or correlationMatrixReturns Enters the mathematical constant e Euler’s number Eigenvals Returns the sequence of eigenvalues of a matrix Eval Evaluates an expressionEvalf2/3 gives EvalcExprEvalfExpr,Integer Even1251 returnsExpr Parses the string String into a number or expression ExprX+10 returns 100, if the variable X has the valueFMinExpr,Var FMaxExpr,VarFMax-x2+2*x+1,x gives FMinx2-2*x+1,x givesFunctiondiffsin gives x→cosx FsolveExpr,Var,Guess or Interval,MethodFunctiondiffFnc GaussExpr,VectVarHalftanhyp2expsinx+sinhx returns GramschmidtVector, FunctionHalftanhyp2expExprTrig HamdistInteger1, Integer2Head1,2,3 gives IcontentPoly,VarIcontent24x3+6x2-12x+18 gives HeavisideRealInterval2center Returns the center of an interval Inv Returns the inverse of an expression or matrixIPartReal or iPartList JacobisymbolInteger1, Integer2Jacobisymbol132,5 gives IPart4.3 returnsLin Returns an expression with the exponentials linearized Lname Returns a list of the variables in an expression Logb Returns the logarithm of base b of aLvar Returns a list of variables used in an expression Mat2list Returns a list containing the elements of a matrixMedianList1, List2 or medianMatrix MeanList1, List2 or meanMatrixMean1,2,3,1,2,3 gives 7/3 Median1,2,3,5,10,4 givesMRowExpr, Matrix, Integer ModgcdPoly1,Poly2Modgcdx4-1,x-12 gives MultcconjugateExprNormal2*x*2 gives 4*x NDerivfx,x,h returns fx+h-fx-h*0.5/hNormalExpr NormalizeVector or normalizeComplexPI Inserts π PIECEWISE⎪PlotpolarExpr,Var=Interval PlotparamfVar+i*gVar, Var= IntervalPlotparamcost+i*sint, t=0..2*π plots the unit circle Plotpolarπ/2x, x=-π..π plots a partial spiralPOLYCOEFVector or POLYCOEFList PoleCrcle,LinePolecircle0, 1, line1+i, 2 returns point1/2,1/2 POLYCOEF-1, 1 returns 1, 0Polynomialregression1, 2, 3, 4, 1, 4, 9, 16,3 returns 0 1 0 PolygonscatterplotMatrixPolynomialregressionList1, List2, Integer POLYROOTPoly or POLYROOTVectorPowerpccircle0,1+i,3+i gives PowerregressionList1, List2Powerregression1, 2, 3, 4, 1, 4, 9, 16 returns 2 Prepend1,2,3 gives 3,1,2Purge Unassigns a variable name Quote Returns an expression unevaluated ⎠ returns RemoveElement, Vector or removeElement, List Reducedconicx2+2*x-2*y+1 returnsRefMatrix Remove6,1 2 6 7 returns 1 2Residue Returns the residue of an expression at a value Restart Purges all the variablesRowDim Returns the number of rows of a matrix Example GivesSignature Returns the signature of a permutation Sqrt Returns the square root of an expression Sto Stores a real or string in a variable Sylvester Returns the Sylvester matrix of two polynomials Transpose Returns a matrix transposed without conjugationType Returns the type of an expression e.g. list, string When Used to introduce a conditional statement Returns the square of an expressionCreating your own functions Inserts the imaginary numberExpr Function field, enter the function. eAA+fABAC Variables Working with Home variables AaEResult is written to history Multiply a by Working with user variables Working with app variables AAxotwAS. Sq1o2 o3 EExample 3 You can also store objects in variables More about the Vars menu Qualifying variables Home variables are accessed by pressing aand Tapping Home variablesNumStart NumType NumStep NumZoom NumIndep App variablesFunction app variables AAngle ADigits AComplex AFormatGeometry app variables Results variablesSolve app variables Category Names Symbolic PlotSpreadsheet app variables ColWidth RowHeightAdvanced Graphing app variables NumXStartNumYStart NumType NumXStep NumXZoom NumYStep NumYZoom Statistics 1Var app variables MedVal NbItemMinVal MaxValStatistics 2Var app variables SCov CorrCoefDet ΣCovInference app variables SerrYContains the sum of the dependent values Y CritVal2 CritScoreCritVal1 ProbParametric app variables NumStart NumType NumStep NumZoomΘmin Recenter Polar app variablesFinance app variables NumIndep NumType NumStart NumZoom NumStepLinear Explorer app variables Linear Solver app variablesTriangle Solver app variables Quadratic Explorer app variablesTrig Explorer app variables Sequence app variablesCategory Names Modes Unit categories Units and constantsUnits Length AccelerationUnits menu includes an entry that is not a unit Unit calculationsPrefixes Palette of prefixes+5 SF Unit tools MKSA8.175cm/s returns .08175m*s-1Physical constants UFACTOR100C,1A returns 100A*sUSIMPLIFY5kg*m2/s2 returns 5J Value or measurement? List of constants Avogadro, NA450 Lists Create a list in the List Catalog= or \ Keys List EditorList Editor Buttons =or \To edit a list To insert an elementA list To delete a list Deleting listsLists in Home view To createa listTo display a list To store a listAj7 To display oneData on page 44 for instructions List functionsTo send a list 2,3 returns 5,10,15Menu format Make ListSort AajoReverse Concatenate Position Size Aj5E Aj5 EAj1 Finding statistical values for listsAj1E Ad1EBeginning on page 211, for the meaning of each statistic Matrices VectorsMatrices Creating and storing matrices POLYROOT1,0,-1,0M1Working with matrices EditorMatrix Editor To create a matrix in the Matrix Editor Matrices in Home ViewTo store a matrix To display a matrix To send a matrix Matrix arithmeticR1o2 Matrixnamerow,columnTo multiply E3 EHAQ1 + Divide by a scalarAQ1sA AQ1k5AQ1kQ Solving systems of linear equations Q1 n AQ21E1E Q1E 2E3E Tap in cell R1, C3 E4EQ1 Matrix functions and commands CommandsSns AQ1E TRN matrix Matrix functionsArgument conventions TRN ⎜3,2,3,4 Rref matrixRref IDENMATsizeHilbertn JordanBlockExpr,n0 JordanBlock7,3 returns 0 7 1 0 0 Cos1 -sin1sin1 cos1Rownorm ⎜ Cond Specnorm ⎜Specrad ⎜ RankEigenvv matrix EIGENVALmatrix37228… -0.37228… EigenvvCholesky ⎜ CholeskymatrixExample CAS view IhermiteMtrxAIsmithMtrxA HessenbergMtrxA278 Ismith ⎜P*A=L*U LSQmatrix1, matrix2LSQ LUmatrixExample Schur ⎛⎜ 1 2 ⎞⎟ returns QRmatrix A,var1,var2SCHURmatrix SVD ⎝DOT 1 2 , 3 4 returns 4649… 0.3659…Cross 1 2 , 3 4 returns L2normVectExamples MaxnormVect or MtrxMaxnorm 1 2 3 -4 returns + y z = 5 2x y = 2y + z = 488 Editing Features. See belowOpens the selected note for Begins a new note,To create a note from the Notes Catalog Rename renames the selected noteOpen the Note Catalog To create a note for an app Keys Are adding or editing a noteMake the next character upper-case With lowercase locked, make next character uppercaseText formatting Inserting MathematicalExpressions Sharing notes Pixon xposition, yposition HP Prime Programs Command StructureProgramming in HP PPL Pixon xposition, yposition ,colorExport Myprogam Begin Program CatalogProgram Structure Comments ENDOpen Program Catalog Program Catalog buttons and keys=or S\ Creating a new program MyprogramOr S=and Checks the current program for errors Program EditorStrings Drawing Matrix App Functions Integer More Press Jto return to the main menu Begin and END For N from 1 to 3 do Run a Program Tap Myprogram to expand the menu and select MyprogramPrograms Debug a ProgramMulti-function ParametersProgram Catalog, select Edit a program Copy a program or part of a program 510 HP Prime programming language To share a programVariables and visibility Export Radius Export Getradius Begin Inputradius END Programming in HP PPL 513 Export Rolldien Program RolldieProgram Return 1+RANDINTN-1ROLLDIEn L2roll+1 L2rollRolldie Return 1+RANDINTn-1 ENDUser mode User Keyboard Customizing key pressesBegin Return 1+RANDINTN-1 END Re-assigning keys Key names Internal name of keys and key statesKDiv App programs KAMathStarts an app Using dedicated program functions Redefining the View menuResets or Initializes an app View text, functionCustomizing an app Tap Enter a name for the new app such as DiceSimulationBegin END Dicesimvars RolldieExport SIDES,ROLLS Export DiceSimulation View Roll Dice,ROLLMANYSIDES= Floorsides If SIDES2 then SidesBegin Repeat Until Sides =4 STARTVIEW7,1 ENDExport ROLLS,SIDES Export Dicesimvars Begin STARTVIEW1,1 ENDSTARTVIEW0,1 END Sides ENDProgram commands Roll DiceBranch Commands under the Tmplt menu BlockBegin END Syntax Begin command1 command2… commandN END Export SQM1X Begin Return ENDDefault commands END LoopCase MAXFACTORS100 Export Maxfactorsn BeginMSGBOXMax of + max + factors for +result Export Drawpattern BeginRect END WaitExport ISPERFECTn Export Sides Export Getsides Begin Repeat +1 d END Return sum==n ENDExport Perfectnums Begin INPUTSIDES,Die Sides,N = ,Enter num sides,2Export Syntax Export var1, var2, …, varn VariableFunction Syntax Export FunctionNameCommands under the Cmds menu Strings Char Syntax CHARvector or CHARintegerString StringF1, when F1X Cosx = Cosx666666666667 INSTRINGvanilla,van returns Instring banana,na returnsDrawing Ymax Pixels and Cartesian Grobh Syntax Grobhg Getpix Syntax GETPIXG, x, yGETPIXPG, x, y GrobhpgGrobwpg INVERTPG, x1, y1, x2, y2PIXOFFPG, x, y Pixon Syntax PIXONG, x, y ,color PIXONPG, x, y ,colorExport BOX Begin Rect RECTP40,90,#0 Wait ENDTextoutppi APPROX=,0,30 Repeat Export Piseries BeginLocal sign K=2 A=4 sign=−1 Rect TEXTOUTPN=,0,0 +sign*4/2*K-1 aAddcol Syntax ADDCOLmatrixname, vector, columnnumber Sign*-1 sign K+1 KUntil END Addrow Syntax ADDROWmatrixname, vector, rownumberScaleadd Syntax Scaleadd name, value, row1, row2 Replace Syntax REPLACEname, start, objectScale Syntax SCALEname, value, rownumber SUB Syntax SUB name, start, endApp Functions Commands Bitand Syntax BITANDint1, int2, … intnBitsl Syntax BITSLint1 ,int2 →R Syntax B→R#integermGetbase Syntax GETBASE#integerm Setbits Syntax SETBITS#integerm ,bits Getbits Syntax GETBITS#integerExample GETBITS#22122 returns #20h or →B Syntax R→Binteger Choose Syntax CHOOSEvar, title, item1, item2,…,itemnEditmat Syntax EDITMATmatrixvar Taps Example EDITMATM1 edits matrix M1 Getkey Syntax GetkeyInput Syntax INPUTvar ,title, label, help, reset Export Sides Export GetsidesBegin INPUTSIDES,D ie Sides,N = ,Enter num sides,2 END Msgbox Syntax MSGBOXexpression or string ,okcancel? Export Areacalc BeginProgramming in HP PPL 553 CAS Syntax CAS.function or CAS.variable Executes the function or returns the variable usingMore Execon Syntax EXECON&expr, List1, list2,…Example →HMS54.8763 returns 5452′34.68″ Example ITERATEX2, X, 2, 3 returnsEXECON&23+&1,1,5,16,4,5,6,7 returns 7,12 Variables and Programs Programming in HP PPL 557 Axes App variablesPlot view variables CursorHwidth GridLinesHmin/Hmax LabelsSeqPlot Nmin/NmaxRecenter S1mark-S5mark Θmin/θmaxΘstep Polar Tmin/Tmax TstepXtick Ytick Xmin/Xmax Xzoom Symbolic view variablesYmin/Ymax YzoomF0...F9 H1...H5H1Type...H5Type R0...R9 S1...S5S1Type...S5Type Type X0, Y0...X9,Y9U0...U9 D0...D9 Numeric view variablesC0...C9 NumIndep NumYStep where n  NumStep where n NumXStep where n  NumType-forAutomatic default  NumType-forBuildYourOwnInference app variables  NumXZoom where n NumYZoom where n Alpha Conf Mean1 Mean1Mean2  Mean2 Pooled-for pooled  Pooled-for not pooled defaultPooled Difference of two means or two proportions, setsFinance app VariablesCPYR NbPmt NbPmtIPYR PMTVLinear Solver app variables TriangleSolver app AngleB SideCAngleA AngleCSettings HomeTime HComplexDate LanguageBits EntryBase SignedAAngle SymbolicSetup AComplexAFormat  AFormat580 Basic integer arithmetic Default base Changing the default base Binary, Octal, Decimal or HexExamples of integer arithmetic Mixed-base arithmeticInteger manipulation Base functions These are described in Integer, beginning onGlossary Catalog Vector One-dimensional array of real or Matrix Two-dimensional array of real orRecord using the Program Editor Symbolic, and Symbolic Setup590 Calculator not responding TroubleshootingTo reset If the calculator does not turn onOperating limits Status messagesProper syntax Correct. Look up the functionName in the index to find its Apps, matrices, lists, notes, or594 Modifications Product regulatory informationFederal Communications Commission notice Cables596 European Union Regulatory Notice 598 Chemical SubstancesParliament and the Council. a chemical information 600 Index Menu 324-347 settings 30, 55 view CAS 54370-371 Functions 118-122, 348 variables 366-369 299-301 606 Zoom 88-94 points Polar app 70, 277-280 variables Samples 514-516, 524-527 structureSolve app 70, 259-266 functions 349 limitations 264 messages 215App 109, 558-579 CAS Types of 89-90

Inputs

Field

Results

Result Description

One-Proportion Z-Interval

Menu name

Z-Int: 1π

number of successes x.

Inputs

Field Definition name

xSample success count

nSample size

CConfidence level