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HP 50g manual Reference

Models: 50g

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Then, we reject H0: ∝ = 150, against H1: ∝ ≠ 150. The test z value is z0 = 5.656854. The P-value is 1.54⋅10-8. The critical values of

±zα/2 = ±1.959964, corresponding to critical ⎯x range of {147.2 152.8}.

This information can be observed graphically by pressing the soft-menu key @GRAPH:

Reference

Additional materials on statistical analysis, including definitions of concepts, and advanced statistical applications, are available in Chapter 18 in the user’s guide.

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HP 50g manual Reference

Contents

HP 50g graphing calculator User’s manualPrinting History Preface Table of Contents Calculations with real numbers Calculations with complex numbers Algebraic and arithmetic operationsSolution to equations Operations with listsVectors Matrices and linear algebraGraphics Calculus ApplicationsDifferential Equations Multi-variateCalculus ApplicationsVector Analysis Applications Probability DistributionsNumbers in Different Bases Using SD cardsStatistical Applications Equation LibraryBasic Operations Chapter Getting startedBatteries Page Menus Contents of the calculator’s displayTool menu Setting time and date Introducing the calculator’s keyboardALPHA-Left-Shift function, to enter the lower-case letter p Selecting calculator modes Operating Mode √ 3.*5.-1/3.*3./23.3+EXP2.5Page Lets try now the expression proposed earlier Standard format Number Format and decimal dot or commaFixed format with decimals Scientific format Engineering format Decimal comma vs. decimal point Angle Measure Coordinate SystemSelecting CAS settings Explanation of CAS settings Selecting Display modes Selecting the display font Selecting properties of the line editorSelecting properties of the Stack References Selecting properties of the equation writer EQWEditing expressions in the stack Chapter Introducing the calculatorCalculator objects Creating arithmetic expressionsPage Page Creating algebraic expressions 2L 1 + + 2 L + yUsing the Equation Writer EQW to create expressions + 2 ⋅ 5 + ⎛ x + 2 ∝ ⋅ ∆y ⎞ Organizing data in the calculator Home directorySubdirectories VariablesTyping variable names Algebraic mode Creating variablesRPN mode Page Checking variables contents Using function Purge in the stack in Algebraic mode Listing the contents of all variables in the screenDeleting variables Using function Purge in the stack in RPN mode Undo and CMD functions Choose boxes vs. Soft Menu@@OK@@ References Chapter Calculations with real numbers Examples of real number calculationsPage Using powers of 10 in entering data Page Real number functions in the MTH menu Using calculator menusHyperbolic functions and their inverses Page Operations with units Units menuPage Available units Attaching units to numbersUnit prefixes Operations with units Unit conversions Physical constants in the calculator QuitPage Defining and using functions Reference Chapter Calculations with complex numbers Setting the calculator to Complex modeDefinitions Entering complex numbers Polar representation of a complex number Cmplx menus Simple operations with complex numbersCmplx menu through the MTH menu Forms the complex number x,y out of real numbers x Functions applied to complex numbers Cmplx menu in keyboardFunction Droite equation of a straight line Page Chapter Algebraic and arithmetic operations Entering algebraic objectsSimple operations with algebraic objects Functions in the ALG menu Collect Expansion and factoring using log-exp functions Operations with transcendental functionsExpansion and factoring using trigonometric functions Functions in the Arithmetic menu FACTORSSIMP2Variable PolynomialsHorner function Pcoef functionQuot and Remainder functions FractionsProot function Peval functionPartfrac function SIMP2 functionPropfrac function Fcoef functionFroots function Step-by-step operations with polynomials and fractions− 5X 2 + 3X − Reference Symbolic solution of algebraic equations Chapter Solution to equationsFunction Isol Function Solve Page Function Solvevx Function ZerosNumerical solver menu Finding the solutions to a polynomial equation Polynomial EquationsEnter vector of roots Financial calculations Generating an algebraic expression for the polynomialSolving equations with one unknown through Function SteqSolution to simultaneous equations with Mslv Reference Page Operations with lists of numbers Chapter Operations with listsCreating and storing lists Changing signAddition, subtraction, multiplication, division Page Lists of complex numbers Functions applied to listsLists of algebraic objects MTH/LIST menuPage SEQ function MAP functionPage Entering vectors Chapter VectorsTyping vectors in the stack Storing vectors into variables in the stack Using the Matrix Writer Mtrw to enter vectors Moving to the right vs. moving down in the Matrix WriterPress @GOTO@ 3@@OK@@ 3@@OK@@ @@OK@@ to move to position 3,3 Simple operations with vectors Addition, subtractionMultiplication by a scalar, and division by a scalar MTH/VECTOR menuAbsolute value function Dot product MagnitudeCross product Reference Chapter Matrices and linear algebra Using the Matrix WriterEntering matrices in the stack Typing in the matrix directly into the stack Operations with matrices Multiplication Addition and subtractionMultiplication by a scalar Matrix multiplication Matrix-vector multiplicationCij = ∑aik ⋅ bkj , for i = 1,2,K, m j = 1,2,K, n Raising a matrix to a real power Term-by-term multiplicationIdentity matrix Inverse matrixFunction Trace Characterizing a matrix The matrix Norm menuFunction DET TrA = ∑aiiSolution of linear systems Using the numerical solver for linear systems= ⎢1 ⎢x2Solution with the inverse matrix Solution by division of matricesReferences Chapter Graphics Graphs options in the calculatorPlotting an expression of the form y = fx = 1 exp− xPage Generating a table of values for a function Fast 3D plots Keep the default plot window ranges to read Reference Page Limits and derivatives Chapter Calculus ApplicationsCalc Calculus menu Function limLim f Functions INT, INTVX, RISCH, Sigma and Sigmavx Anti-derivatives and integralsFunctions Deriv and Dervx Xdx = F x + CDefinite integrals Functions TAYLR, TAYLR0, and Series Infinite series= ∑ Reference Chapter Multi-variate Calculus Applications Partial derivativesMultiple integrals Del operator Chapter Vector Analysis ApplicationsGradient Divergence CurlCALC/DIFF menu Solution to linear and non-linear equationsChapter Differential Equations Function LdecPage Function Desolve Variable OdetypeLaplace Transforms Laplace transform and inverses in the calculatorLf t= F s = 0∞ f t ⋅ e− st dt Fourier seriesFunction Fourier 2inπtFourier series for a quadratic function Reference Page Factorials, combinations, and permutations Chapter Probability DistributionsMTH/PROBABILITY.. sub-menu part − r +Random numbers Normal distribution MTH/PROB menu partStudent-t distribution Chi-square distribution F distributionChapter Statistical Applications Entering dataCalculating single-variable statistics Sample vs. populationObtaining frequency distributions Page Fitting data to a function y = fx 195238095238 + 2.00857242857*X Correlation CovarianceObtaining additional summary statistics Confidence intervals Page Hypothesis testing Page Reference Page Chapter Numbers in Different Bases Base menuWriting non-decimal numbers Inserting and removing an SD card Chapter Using SD cardsFormatting an SD card Accessing objects on an SD card Storing objects on the SD cardRecalling an object from the SD card Purging an object from the SD cardPurging all objects on the SD card by reformatting Specifying a directory on an SD cardChapter Equation Library `#EQLIB #EQNLIStep 30 ##¢0#- L *!!!!!!V0!!!!!+ Reference Limited Warranty W-2 Service Europe Asia Pacific Country Telephone numbersAmerica Country Telephone numbers Regulatory information Federal Communications Commission NoticeCanadian Notice Korean Notice