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HP 49g manual

Models: 49g

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4.Z-INT: p1− p2.: Confidence interval for the difference of two proportions, p1-p2, for large samples with unknown population variances.

5.T-INT: 1 µ.: Single sample confidence interval for the population mean, µ, for small samples with unknown population variance.

6.T-INT: µ1−µ2.: Confidence interval for the difference of the population means, µ1- µ2, for small samples with unknown population variances.

Example 1 – Determine the centered confidence interval for the mean of a population if a sample of 60 elements indicate that the mean value of the sample is x = 23.2, and its standard deviation is s = 5.2. Use α = 0.05. The confidence level is C = 1-α = 0.95.

Select case 1 from the menu shown above by pressing @@@OK@@@. Enter the values required in the input form as shown:

Press @HELP to obtain a screen explaining the meaning of the confidence interval in terms of random numbers generated by a calculator. To scroll down the resulting screen use the down-arrow key ˜. Press @@@OK@@@ when done with the help screen. This will return you to the screen shown above.

To calculate the confidence interval, press @@@OK@@@. The result shown in the calculator is:

Press @GRAPH to see a graphical display of the confidence interval information:

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HP 49g manual

Contents

Hp 49g+ 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 ApplicationsMulti-variate Calculus Applications Vector Analysis ApplicationsStatistical Applications Differential EquationsProbability Distributions Numbers in Different Bases Using SD cardsLimited Warranty W-1 Batteries Chapter Getting startedBasic Operations Contents of the calculator’s display Menus Tool menuSetting time and date Introducing the calculator’s keyboardPage Selecting calculator modes Operating Mode √ 3.*5.-1/3.*3./23.3+EXP2.5 Lets try now the expression proposed earlier Number Format and decimal dot or comma Page Page Page Angle Measure Coordinate System Selecting CAS settings Explanation of CAS settings Selecting Display modesSelecting the display font Selecting properties of the line editor Selecting properties of the Stack References Selecting properties of the equation writer EQWChapter Introducing the calculator Calculator objectsEditing expressions in the stack Creating arithmetic expressionsPage Page Creating algebraic expressions 2L 1 + + 2 L + yUsing the Equation Writer EQW to create expressions Page + 2 ⋅ 5 +  x + 2µ ⋅ ∆y  + eSubdirectories Organizing data in the calculatorHome directory Variables Typing variable namesCreating variables Page Page Checking variables contents Page Using function Purge in the stack in Algebraic mode Deleting variablesChoose boxes vs. Soft Menu Using function Purge in the stack in RPN modeUndo and CMD functions Show Prog menu list and select Memory Page References Chapter Calculations with real numbers Examples of real number calculationsPage Page Using powers of 10 in entering data Page Real number functions in the MTH menu Hyperbolic functions and their inversesPage Operations with units Units menuPage Available units Attaching units to numbers Operations with units Page Physical constants in the calculator Unit conversionsEngl Defining and using functions ‘LNx+1 + EXPx ‘ Reference Definitions Setting the calculator to Complex modeChapter Calculations with complex numbers Entering complex numbers Polar representation of a complex numberSimple operations with complex numbers Cmplx menus Cmplx menu through the MTH menuCmplx menu in keyboard Functions applied to complex numbers Function Droite equation of a straight lineReference Chapter Algebraic and arithmetic operations Entering algebraic objectsSimple operations with algebraic objects `‚¹ Functions in the ALG menu CollectPage Operations with transcendental functions Expansion and factoring using log-exp functionsExpansion and factoring using trigonometric functions Functions in the Arithmetic menu Polynomials Horner functionVariable Pcoef functionProot function Quot and Remainder functionsSIMP2 function FractionsPeval function Fcoef function Propfrac functionPartfrac function − 5X 2 + 3X − Step-by-step operations with polynomials and fractionsFroots function Reference Function Isol Chapter Solution to equationsSymbolic solution of algebraic equations Function Solve Page Function Solvevx Function ZerosNumerical solver menu Polynomial Equations @SOLVE@Solve for coefficients ˜@SYMB@ Financial calculations Solving equations with one unknown through NUM.SLVSolution to simultaneous equations with Mslv Page Reference Chapter Operations with lists Creating and storing listsOperations with lists of numbers Changing signAddition, subtraction, multiplication, division Functions applied to lists MTH/LIST menu Lists of complex numbersLists of algebraic objects ∆LIST SEQ function MAP functionTyping vectors in the stack Chapter VectorsEntering vectors Using the Matrix Writer Mtrw to enter vectors Storing vectors into variables in the stackPage Page Simple operations with vectors Addition, subtractionMultiplication by a scalar, and division by a scalar Absolute value functionDot product MTH/VECTOR menuMagnitude Cross product Entering matrices in the stack Using the Matrix WriterChapter Matrices and linear algebra Typing in the matrix directly into the stack Operations with matrices Addition and subtractionMultiplication Cij = ∑aik ⋅ bkj , for i = 1,2,K, m j = 1,2,K, n Page Solution of linear systems Characterizing a matrix The matrix Norm menuFunction DET Function Trace M Using the numerical solver for linear systems=  a x2 Solution with the inverse matrix Solution by division of matricesChapter Graphics Graphs options in the calculatorPlotting an expression of the form y = fx = 1 exp− xGenerating a table of values for a function Page Fast 3D plots Left-1 Right1 Near-1 Far Low High Step Indep Depnd Page Reference Chapter Calculus Applications Calc Calculus menuLimits and derivatives Function limFunctions Deriv and Dervx Functions INT, INTVX, RISCH, Sigma and Sigmavx Anti-derivatives and integralsXdx = F x + C Infinite series Definite integralsFunctions TAYLR, TAYLR0, and Series Reference Chapter Multi-variate Calculus Applications Partial derivativesMultiple integrals Φ x, ydydxChapter Vector Analysis Applications Del operatorGradient ∇ = i ⋅ ∂ + j ⋅ ∂ + k ⋅ ∂ ∂x ∂y ∂zDivergence CurlCALC/DIFF menu Solution to linear and non-linear equationsChapter Differential Equations Function Ldec Function Desolve Yx = 5 ⋅ exp−x3 / 3 ⋅ expx3 / 3 ⋅ dx + C0Variable Odetype DesolveLaplace Transforms Laplace transform and inverses in the calculatorFourier series = ∑ c nFunction Fourier Fourier series for a quadratic functionPage Reference Chapter Probability Distributions MTH/PROBABILITY.. sub-menu partFactorials, combinations, and permutations − 2... − + 1 = − rRandom numbers Student-t distribution MTH/PROB menu partNormal distribution Chi-square distribution F distributionCalculating single-variable statistics Chapter Statistical ApplicationsEntering data Page Obtaining frequency distributions Fitting data to a function y = fx 195238095238 + 2.00857242857*X Correlation Covariance Obtaining additional summary statistics Confidence intervals Page Hypothesis testing Page Reference Writing non-decimal numbers Chapter Numbers in Different BasesBase menu HEX DEC OCT BIN Storing objects in the SD card Using SD cardsChapter Recalling an object from the SD card Purging an object from the SD cardLimited Warranty Service HP Invent Regulatory information USA