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HP Prime Graphing NW280AAABA manual One-Proportion Z-Test

Models: Prime Graphing NW280AAABA

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Page 252

Results	The results are:

	Result	Description
	Test Z	Z-Test statistic
	Test Δ x	Difference in the means associ-
		ated with the test Z-value
	P	Probability associated with the
		Z-Test statistic
	Critical Z	Boundary value(s) of Z associated
		with the α level that you supplied
	Critical Δ x	Difference in the means associ-
		ated with the α level you supplied

One-Proportion Z-Test

Menu name

Z-Test: 1 π

On the basis of statistics from a single sample, this test measures the strength of the evidence for a selected hypothesis against the null hypothesis. The null hypothesis is that the proportion of successes is an assumed value,

Η0 : π = π0.

You select one of the following alternative hypotheses against which to test the null hypothesis:

H0: π < π0

H0: π > π0

H0: π ≠ π0

Inputs

The inputs are:

Field name Definition

xNumber of successes in the sample

nSample size

π0	Population proportion of successes

αSignificance level

248	Inference app

Page 252

Image 252

HP Prime Graphing NW280AAABA manual One-Proportion Z-Test

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 Be entered in uppercase when a Uppercase when a key is pressedLowercase 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 areMinute, or second symbol accord Comparison operators and BoolEan operators CharactersShift keys Adding text Math keys Math templateMath shortcuts Fractions Hexagesimal numbers 236…. Press conce to see 219602 and again to seePressing ca third time will cycle back to 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 settingsBecomes 123.46 Fixed 2 format23E2 in Scientific Becomes 1.23E9 in EngineerOr a+b*i Commands on the Math and CAS Shorthand. The default is to provideMenus are presented descriptively Or in common mathematicalYYYY/MM/DD, DD/MM/YYYY, or MM/DD/YYYYSpecifying a Home setting Press SH Settings to openWhere to start Always one-dimensionalMathematical calculations Choosing an entry typeExamples that follow assume that the entry mode is Entering expressionsRPN Reverse Polish Notation. Not available in CAS view TextbookExample Parentheses R23jw14S j8nQ3 h45ENegative numbers Algebraic precedenceE45+Sz 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 Re-using Sample calculationsResults 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 variableSettings 2Asj+3Asw2 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 Modifying the default configuration Press SH. The Home Settings screen appears TapDon’t want disabled are not selected 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 Symbolic view App viewsConfidence level, and select a type 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 Quick example Open the app4Szf n2f jE 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 Evaluate a dependent definition Select or deselect a definition to exploreF9X=X2+Statistics2Var.PredY6 X2+X+ 2 *X2Choose a color for plots Delete a definitionSymbolic view Summary of menu buttons Common operations in Symbolic Setup view Override system-wide settingsRestore default settings Press SYto open Symbolic Setup viewCommon operations in Plot view ZoomZoom factors Zoom options By the X Zoom and Y Zoom settings Zoom settingCenter on Shortcut press wGiven the supplied x axis settings. For Graph with the original plot settingsShows a representative piece of the plot Apps, autoscaling rescales both axesTesting a Zoom withSplit-screen ViewingShown, tap OutSquare AutoscaleDecimal 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 Parametric Only Polar onlySequence Only Stats 1 Var onlySets the initial range of the x-axis. Note That here are two fields one forPanning and zooming 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 Define the expressions Rdw1 jw3EOpen the Function app ISelect 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 SMSetupPress SJClear to reset all the settings to their defaults Explore Numeric viewTo navigate around a table Substituted the values in the X column for xTo access the zoom To go directly to a valueOptions Analyzing functions Display the Plot view menuTo find a root of the quadratic function =or\To find an Intersection of twoFunctions IntersectionTo find the slope of the quadratic function To find the signed area between the two functions Function Variables To findExtremum 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 Open the app Define the open sentence Jn2+ n5 ISelect Advanced Graphing128 Advanced Graphing app Advanced Graphing app 129 You can move in any direction within Region. Use this option forInequalities, for example 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 Plot view in detail DerivativePoint D is the point whose ordinate value matches Derivative changes by looking at a plot of it rather than142 Selecting an ObjectHiding names Moving objectsColoring objects Filling objectsRemoving fill UndoingClearing an Clearing allObjects Moving aboutPlot view buttons and keys Key Result in Plot view Symbolic view in detail Re-ordering EntriesHiding an object Tap either To move it down the list or Move it upCan delete an object in Symbolic view Numeric view in detailDeleting an Tap Or press C To delete all objects, press SJListing all Enter radiusGC152 Geometric objects PointsMore Element 0 . . Notice Line Polygon NgonCurve SpecialCircumcircle is the circle That passes through eachTriangle’s three vertices Thus enclosing the triangleSpecial Locus places Geometric transformations Tap Select Reflection Axis and press E. The object is reflected acrossSymmetry axis defined in step Given scale factor around a given point as centerSelect Transform Rotation GK,angleGK,GL,GM164 Geometry functions and commands Symbolic view Cmds menuPoint BarycenterCenter DivisionpointElement InterIsobarycenter MidpointOrthocenter PointPoint2d Stop traceErase trace DrawSlpBisector ExbisectorHalfline LineMedianline ParallelPerpenbisector Medianlinepoint1, point2, point3Perpendicular SegmentTangent Draws a segment defined by its endpointsEquilateraltriangle HexagonEquilateral triangle0,6 draws an equilateral Equilateral triangle0,6, v draws an equilateralIsoscelestriangle IsopolygonParallelogram IsoscelestriangleGA, GB, angleGC, GA, GBPolygon QuadrilateralRectangle RhombusRighttriangle SquareTriangle Circle CircumcircleConic CircumcircleGA, GB, GC draws the circleEllipse ExcircleHyperbola Excirclepoint1, point2, point3Transform IncircleLocus ParabolaInversion ProjectionReflection Draws the orthogonal projection of a point onto a curveRotation SimilarityTranslation RotateGA, angleGB, GC, GD,GK rotatesMeasure Plot Numeric view Cmds menu MeasureAffix AngleArcLen AreaCoordinates DistanceDistance2 Area4-x2/4, x=-4..4 returns 14.666…Equation ExtractmeasureOrdinate ParameqTest RadiusIscollinear IsconcyclicIselement IsequilateralIsisoceles IsorthogonalIsparallel IsparallelogramIsperpendicular IsrectangleOther Geometry functions IssquareConvexhull HarmonicconjugateIsharmonic IsharmoniccirclebundleIsharmoniclinebundle IsrhombusLineHorz LineVertOpenpolygon PolarPowerpc PoleRadicalaxis ReciprocationSingleinter VectorVertices Verticesabca194 Spreadsheet Getting started with the Spreadsheet appTo open the Spreadsheet app, press Iand select Spreadsheet 196 Select cell D1 Enter a formula to add up your takings Select cell C3 Enter a label for your total commissionSelect the heading cell for column C, tap and select 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 RootsExternal references Copy and pasteTo copy one or more cells, select them and press SVCopy Format, both value and format, or both formula and formatReferencing variables Using the CAS in spreadsheet calculations = Row2-√Row-1. The onlyButtons and keys Handled by the CAS, but only Evaluates itLine is active 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 Symbolic view menu items Menu items you can tap on in Symbolic view areEditing. Tap when done Enters D directly to save you having to press two keys214 Configure a histogram plot for the data Setup Entering and editing statistical dataEdit a data set 1Var app open, return to Home view and enterSpreadsheet.A1A10 D7 E Menu items you can tap on in Numeric view areDelete data Insert data Generating data Sort data values Computed statistics Plotting Plot typesTo plot statistical data HistogramBox-and-Whisker Normal probabilityLine plot Bar graphSetting up the plot Plot Setup view Pareto chartExploring the graph Data in descendingPlot view menu items Menu items you can tap on in Plot view areStatistics 2Var app Getting started with the Statistics 2Var appAdvertising minutes Resulting sales $ 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 typesWhere L is the saturation value Fits the data to a logistic curveFor growth. You can store a Positive real value in L, or-ifSCOV COVΣXY Plotting statistical data SerrYTracing a scatter Tracing a curveTracing order Plot setup Plot view menu itemsPlotting mark ConnectPredicting values Home viewTroubleshooting a plot Inference app Getting started with the Inference appOpen InferenceSymbolic view options Test μ1 μ2, the T-Test onSelect the inference method Enter data Test 1 μ from the Type menuSample mean Sample size 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 Calculate statistics Open the Inference app Select inference method and type Import the dataTap on the Method field and select Confidence IntervalHypothesis tests DisplayResults NumericallyOne-Sample Z-Test Menu nameInputs Two-Sample Z-Test One-Proportion Z-Test Two-Proportion Z-Test One-Sample T-Test Test Z Test statistic Test Δ pˆ Difference betweenWith the test Z-value 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 One-Proportion Z-Interval Int 1πNumber of successes Sample success count Sample size Confidence levelTwo-Proportion Z-Interval Menu name Int π1 π2Confidence interval for the difference between Proportions of successes in two populationsOne-Sample T-Interval Two-Sample T-IntervalResult Definition 258 Solve app Getting started with the Solve appOne equation Open the Solve appClear the app and define the equation AVjS.AU j+2AAADEnter known variables Solve the unknown variableKph over a distance Is approximately 2.4692 m/s2 Where n is the number of the selected equation Plot the equationSelect Auto Scale Select Both sides of En 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 variablesSolution information ZeroSign ReversalBad Guesses Constant? No values satisfy the selected equation or expressionValue of the equation is the same at every point sampled Linear Solver app Getting started with the Linear Solver appOpen the Linear Solver app. ISelect Linear SolverDefine and solve the equations Coefficients and constants had been enteredMenu items Solve a two-by- two system270 Parametric app Getting started with the Parametric appOpen 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 Open the Polar app ISelect Polar App opens in Symbolic view Polar appGetting started with the Polar 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 appApp opens in Symbolic view Define the Fibonacci sequence + EOpen the Sequence app ISelect SequencePlot the sequence Select Stairstep from the Seq Plot menuDisplay Numeric view Explore the table of values Set up the table of values Define the expression Setup the plotAnother example Explicitly-defined sequences 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 Triangle Solver app Getting started with the Triangle Solver appTapping 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 Explorer app Open the appQuadratic ExplorerEquation mode Its value. When you are ready, tap To see if youTap To see the correct answer and tap Exit Test mode Graphs that are harder match by tapping RespectivelyTrig Explorer app Trig ExplorerTap To switch to Graph by pressingCursor keys. All four keys 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 +,w,s, n ShexE5 returns 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,σRANDSEEDvalue NORMALDμ,σ,xNORMALD0.5 and NORMALD0,1,0.5 both return STUDENTn,xIs a real number CHISQUARECDFn,k CHISQUARECDF2,6.1 returnsFISHERCDFn,d,x FISHERCDF5,5,2 returnsList Matrix SpecialCAS menu AlgebraSyntax substExpr,Var=value PartfracRatFrac or OptNumera,b Denoma/bCalculus DiffExpr,var DiffExpr,var1$k1,var2$k2LimitExpr,Var,Val,Dir1, 0 SeriesExpr,Equalvar=limitpoint,Orde r,Dir1,0,-1 SumExpr,Var,Real1, Real2,StepCurlExpr1, Expr2, …, ExprN, Var1, Var2, …, VarN DivergenceExpr1, Expr2, …, ExprN, Var1, Var2, …, VarNGradExpr,LstVar Hessian Returns the Hessian matrix of an expressionHessianExpr,LstVar IbpufVar, uVar, Var, Real1, Real2PrevalExprFvar,Reala,Realb,Var SumriemannExprXpr,Lstvar1,var2TaylorExpr,Var=Value,Order DivpcPoly1,Poly2,IntegerSolve ZerosExpr,Var or zerosExpr1, Expr2,…,Var1, Var2,… Zerosx2-4 returns -2CsolveEq,Var CsolveEq1, Eq2,…, Var CZerosExpr,Var CZerosExpr1, Expr2,…,Var1, Var2,…Rewrite TexpandExpr Exp2powExprPow2expExpr Exp2trigExprAsin2atanExpr Sin2costanExprAcos2asinExpr Acos2atanExprAtan2asinExpr Atan2asinatan2*x returnsAtan2acosExpr Tan2sincosExprTrigcosExpr TrigtanExprAtrig2lnExpr TlinExprTrigInteger GcdIntgr1, Intgr2,… IsPrimeIntegerNextprimeInteger PrevprimeIntegerPolynomial IquoIntgr1, Intgr2IremIntgr1, Intgr2 Powmoda, n, p,Expr,VarCoeffPoly, Var, Integer DivisPoly or divisPoly1, Poly2,…FactorsPoly or factorsPoly1, Poly2,… GcdPoly1,Poly2Symb2polyExpr,Var Symb2polyExpr, Var1, Var2,… Poly2symbVector, VarPcoefVect PminMtrx,Var QuoList1, List2, Var QuoPoly1, Poly2, VarRemList1, List2, Var RemPoly1, Poly2, Var ContentPoly,Var DegreePolyFactorxnPoly SturmabPoly,Var,a,bCyclotomicInteger GbasisPoly1 Poly2…, Var1 Var2…GreducePoly1, Poly2 Poly3 …, Var1 Var2… HermiteIntegerLagrangeX1 X2…, Y1 Y2… LaguerreIntegerTchebyshev1Integer Tchebyshev2IntegerPlot App menu PlotodeExpr, Var1, Var2, X0, Y0PlotlistX1, Y1, X2, Y2, … Function app functions Solve app functions Spreadsheet app functionsSOLVEEn,var,guess SOLVEX2-X-2,X,3returns2FunctionNameinput,optional Parameters =STAT1A25A37=STAT1A25A37,h n As in SUMB7C23Calculates the arithmetic mean of a range of numbers For example, AVERAGEB7B23 returns the arithmeticSpecify a block of cells, as in AVERAGB7C23 Finance appSecond column is treated as the weight of the first Columns are multiplied to generate a data pointSet to Place column headers Place row headers SerrREGRSInput range,model, configuration STAT1A25A37STAT1A25A37,h n x σ Example REGRSA25B37,2 PredY PredXPredYmode, x, parameters 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, 0.05,1Mode Specifies which alternative hypothesis to use ≠ μ0 HypT1mean x ,s,n,μ0, α,mode,configurationHypT1mean The one-sample t-test for a mean HypZ2prop21, 26, 50, 50, 0.05HypT2meanx1,x2,s1,s2, n1,n2, α,pooled,mode, configuration ConfZ1mean x ,n,s, C,configurationConfZ2mean x1, x2, n1, n2,s1,s2,C, configuration ConfZ1propx,n,C,configurationConfZ1mean0.461368, 50, 0.2887 ConfZ2mean0.461368, 0.522851, 50, 50, 0.2887, 0.2887ConfZ2prop ConfT1meanConfZ1prop21, 50 ConfT2mean x1, x2, s1,s2,n1, n2,C,pooled, configuration Statistics 1Var app functionsConfT1mean0.461368, 0.2776, 50 ConfT2mean0.461368, 0.522851, 0.2776, 0.2943, 50, 50, 0Do1VStats SetFreqSetSample Statistics 2Var app functions ResidDo2VStats SetDependInference app functions SetIndepDoInference HypZ1meanTest π value Critical value of π associated with the critical Z-valueHypZ2mean x1, x2, n1, n2,σ1,σ2,α,mode HypT1mean OrderTest Δπ value 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 Finance app functions CalcFVSolves for the future value of an investment or loan CalcFVNbPmt,IPYR,PV,PMTV,PPYR,CPYR,BEGCalcIPYR CalcNbPmtCalcPMT CalcPVLinear Solver app functions Triangle Solver app functionsSolve2x2 Solve3x3AASangle,angle,side ASAangle,side,angleSASside,angle,side SSAside,side,angleLinear Explorer functions DoSolveSolveForYIntercept Quadratic Explorer functions Common app functionsSOLVEa, b, c DELTAa, b, cCtlg menu Function.CHECK1UNCHECKDigit Enter Sequence.UNCHECK2Percent of y. Returns x/100*y Example Change Percent change from x to y. Returns 100*y-x/xList1.*List2 or Matrix1.*Matrix2 List.Integer or Matrix.IntegerVar=expression 3,4.*3,4,5,6 gives 3,8,15,24A2qMatrix, Var1, Var2… A2q1,2,4,4,x,y returns x2+6*x*y+4*y2AbcuvPolyA, PolyB, PolyC, Var Abcuvx2+2*x+1,x2-1,x+1 returns 1/2 -1/2Append Appends an element to a list or vector BasisMatrix CanonicalformQuadraticExpr,VarCanonicalform2*x2-12*x+1 gives 2*x-32-17 CatObject1, Object2,…ColDim Returns the number of columns of a matrix Companion Returns the companion matrix of a polynomial Complexrootx3+8, 0.01 returnsContainsList, Element or containsVector, Element Contains0,1,2,3,2 returnsCopyVarVar1,Var2 CorrelationList or correlationMatrixReturns Enters the mathematical constant e Euler’s number Eigenvals Returns the sequence of eigenvalues of a matrix Eval Evaluates an expressionEvalcExpr EvalfExpr,IntegerEvalf2/3 gives Even1251 returnsExpr Parses the string String into a number or expression ExprX+10 returns 100, if the variable X has the valueFMaxExpr,Var FMax-x2+2*x+1,x givesFMinExpr,Var FMinx2-2*x+1,x givesFsolveExpr,Var,Guess or Interval,Method FunctiondiffFncFunctiondiffsin gives x→cosx GaussExpr,VectVarGramschmidtVector, Function Halftanhyp2expExprTrigHalftanhyp2expsinx+sinhx returns HamdistInteger1, Integer2IcontentPoly,Var Icontent24x3+6x2-12x+18 givesHead1,2,3 gives HeavisideRealInterval2center Returns the center of an interval Inv Returns the inverse of an expression or matrixJacobisymbolInteger1, Integer2 Jacobisymbol132,5 givesIPartReal or iPartList 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 matrixMeanList1, List2 or meanMatrix Mean1,2,3,1,2,3 gives 7/3MedianList1, List2 or medianMatrix Median1,2,3,5,10,4 givesModgcdPoly1,Poly2 Modgcdx4-1,x-12 givesMRowExpr, Matrix, Integer MultcconjugateExprNDerivfx,x,h returns fx+h-fx-h*0.5/h NormalExprNormal2*x*2 gives 4*x NormalizeVector or normalizeComplexPI Inserts π PIECEWISE⎪PlotparamfVar+i*gVar, Var= Interval Plotparamcost+i*sint, t=0..2*π plots the unit circlePlotpolarExpr,Var=Interval Plotpolarπ/2x, x=-π..π plots a partial spiralPoleCrcle,Line Polecircle0, 1, line1+i, 2 returns point1/2,1/2POLYCOEFVector or POLYCOEFList POLYCOEF-1, 1 returns 1, 0PolygonscatterplotMatrix PolynomialregressionList1, List2, IntegerPolynomialregression1, 2, 3, 4, 1, 4, 9, 16,3 returns 0 1 0 POLYROOTPoly or POLYROOTVectorPowerregressionList1, List2 Powerregression1, 2, 3, 4, 1, 4, 9, 16 returns 2Powerpccircle0,1+i,3+i gives Prepend1,2,3 gives 3,1,2Purge Unassigns a variable name Quote Returns an expression unevaluated ⎠ returns Reducedconicx2+2*x-2*y+1 returns RefMatrixRemoveElement, Vector or removeElement, List 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 variablesApp variables Function app variablesNumStart NumType NumStep NumZoom NumIndep AAngle ADigits AComplex AFormatGeometry app variables Results variablesCategory Names Symbolic Plot Spreadsheet app variablesSolve app variables ColWidth RowHeightAdvanced Graphing app variables NumXStartNumYStart NumType NumXStep NumXZoom NumYStep NumYZoom Statistics 1Var app variables NbItem MinValMedVal MaxValStatistics 2Var app variables Corr CoefDetSCov ΣCovInference app variables SerrYContains the sum of the dependent values Y CritScore CritVal1CritVal2 ProbParametric app variables NumStart NumType NumStep NumZoomPolar app variables Finance app variablesΘmin Recenter NumIndep NumType NumStart NumZoom NumStepLinear Solver app variables Triangle Solver app variablesLinear Explorer app variables Quadratic Explorer app variablesTrig Explorer app variables Sequence app variablesCategory Names Modes Units and constants UnitsUnit categories Length AccelerationUnit calculations PrefixesUnits menu includes an entry that is not a unit 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 \ List Editor List Editor ButtonsKeys =or \To edit a list To insert an elementA list Deleting lists Lists in Home viewTo delete a list To createa listTo store a list Aj7To display a list To display oneList functions To send a listData on page 44 for instructions 2,3 returns 5,10,15Make List SortMenu format AajoReverse Concatenate Position Size Aj5E Aj5 EFinding statistical values for lists Aj1EAj1 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 Matrix arithmetic R1o2To send a matrix Matrixnamerow,columnE3 E HAQ1 +To multiply 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 Matrix functions Argument conventionsTRN matrix TRN ⎜Rref matrix Rref3,2,3,4 IDENMATsizeJordanBlockExpr,n 0 JordanBlock7,3 returns 0 7 1 0 0Hilbertn Cos1 -sin1sin1 cos1Rownorm ⎜ Specnorm ⎜ Specrad ⎜Cond RankEIGENVALmatrix 37228… -0.37228…Eigenvv matrix EigenvvCholeskymatrix Example CAS viewCholesky ⎜ IhermiteMtrxAHessenbergMtrxA 278IsmithMtrxA Ismith ⎜LSQmatrix1, matrix2 LSQP*A=L*U LUmatrixQRmatrix A,var1,var2 SCHURmatrixExample Schur ⎛⎜ 1 2 ⎞⎟ returns SVD ⎝4649… 0.3659… Cross 1 2 , 3 4 returnsDOT 1 2 , 3 4 returns L2normVectExamples MaxnormVect or MtrxMaxnorm 1 2 3 -4 returns + y z = 5 2x y = 2y + z = 488 Features. See below Opens the selected note forEditing 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 HP Prime Programs Command Structure Programming in HP PPLPixon xposition, yposition Pixon xposition, yposition ,colorProgram Catalog Program Structure CommentsExport Myprogam Begin 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 MyprogramDebug a Program Multi-functionPrograms 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 Program Rolldie ProgramExport Rolldien Return 1+RANDINTN-1L2roll+1 L2roll RolldieROLLDIEn 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 KAMathUsing dedicated program functions Redefining the View menu Resets or Initializes an appStarts an app View text, functionCustomizing an app Tap Enter a name for the new app such as DiceSimulationDicesimvars Rolldie Export SIDES,ROLLS Export DiceSimulationBegin END View Roll Dice,ROLLMANYSides Begin RepeatSIDES= Floorsides If SIDES2 then Until Sides =4 STARTVIEW7,1 ENDSTARTVIEW1,1 END STARTVIEW0,1 ENDExport ROLLS,SIDES Export Dicesimvars Begin Sides ENDProgram commands Roll DiceCommands under the Tmplt menu Block Begin END Syntax Begin command1 command2… commandN ENDBranch Export SQM1X Begin Return ENDDefault commands END LoopCase Export Maxfactorsn Begin MSGBOXMax of + max + factors for +resultMAXFACTORS100 Export Drawpattern BeginRect END WaitExport ISPERFECTn +1 d END Return sum==n END Export Perfectnums BeginExport Sides Export Getsides Begin Repeat INPUTSIDES,Die Sides,N = ,Enter num sides,2Variable FunctionExport Syntax Export var1, var2, …, varn Syntax Export FunctionNameCommands under the Cmds menu Strings Char Syntax CHARvector or CHARintegerStringF1, when F1X Cosx = Cosx 666666666667String INSTRINGvanilla,van returns Instring banana,na returnsDrawing Ymax Pixels and Cartesian Getpix Syntax GETPIXG, x, y GETPIXPG, x, yGrobh Syntax Grobhg 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 ENDExport Piseries Begin Local sign K=2 A=4 sign=−1 Rect TEXTOUTPN=,0,0Textoutppi APPROX=,0,30 Repeat +sign*4/2*K-1 aSign*-1 sign K+1 K Until ENDAddcol Syntax ADDCOLmatrixname, vector, columnnumber Addrow Syntax ADDROWmatrixname, vector, rownumberReplace Syntax REPLACEname, start, object Scale Syntax SCALEname, value, rownumberScaleadd Syntax Scaleadd name, value, row1, row2 SUB Syntax SUB name, start, endApp Functions Commands Bitand Syntax BITANDint1, int2, … intnBitsl Syntax BITSLint1 ,int2 →R Syntax B→R#integermGetbase Syntax GETBASE#integerm Getbits Syntax GETBITS#integer Example GETBITS#22122 returns #20h or →B Syntax R→BintegerSetbits Syntax SETBITS#integerm ,bits 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 Executes the function or returns the variable using MoreCAS Syntax CAS.function or CAS.variable 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 App variables Plot view variablesAxes CursorGridLines Hmin/HmaxHwidth LabelsNmin/Nmax Recenter S1mark-S5markSeqPlot Θmin/θmaxΘstep Polar Tmin/Tmax TstepXtick Ytick Xmin/Xmax Symbolic view variables Ymin/YmaxXzoom YzoomF0...F9 H1...H5H1Type...H5Type R0...R9 S1...S5S1Type...S5Type Type X0, Y0...X9,Y9U0...U9 Numeric view variables C0...C9D0...D9 NumIndep NumStep where n  NumXStep where n NumYStep where n  NumType-forAutomatic default  NumType-forBuildYourOwn NumXZoom where n  NumYZoom where nInference app variables Alpha ConfMean1 Mean2 Mean1  Mean2 Pooled-for not pooled default Pooled Pooled-for pooled Difference of two means or two proportions, setsFinance app VariablesCPYR NbPmt IPYRNbPmt PMTVLinear Solver app variables TriangleSolver app SideC AngleAAngleB AngleCSettings HomeHComplex DateTime LanguageEntry BaseBits SignedSymbolic SetupAAngle 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 Matrix Two-dimensional array of real or Record using the Program EditorVector One-dimensional array of real or Symbolic, and Symbolic Setup590 Troubleshooting To resetCalculator not responding If the calculator does not turn onOperating limits Status messagesCorrect. Look up the function Name in the index to find itsProper syntax Apps, matrices, lists, notes, or594 Product regulatory information Federal Communications Commission noticeModifications 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