Two-Sample Z-Test, Results | HP 39g+ Graphing manual

Results	The results are:

	Result			Description

	Test Z			Z-test statistic.
	Prob			Probability associated with the
				Z-Test statistic.
	Critical Z			Boundary values of Z
				associated with the α level that
				you supplied.
	Critical			Boundary values of	x	required
	Critical	x		Boundary values of	x	required
				by the α value that you
				supplied.

Two-Sample Z-Test

Menu name	Z-Test: ∝1–∝2
	On the basis of two samples, each from a separate
	population, this test measures the strength of the evidence
	for a selected hypothesis against the null hypothesis. The
	null hypothesis is that the mean of the two populations are
	equal (H0: ∝1= ∝2).
	You select one of the following alternative hypotheses
	against which to test the null hypothesis:
				H1:∝1 < ∝2
				H1:∝1 > ∝2
				H1:∝1 ≠ ∝2
Inputs	The inputs are:

	Field name			Definition

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

Inference aplet

9-9

Image 125

HP 39g+ Graphing manual Two-Sample Z-Test, Results

Contents

Edition Part Number F2224-90001 User’s guide Edition December Printing History Contents Plotting a piecewise-defined function Using variables in equationsAbout the Solve aplet Getting started with the Polar aplet One-Proportion Z-Interval Confidence intervals One-Sample Z-Interval10-7 11-1 Variables and memory management 16-2 16-1Creating and editing programs 16-4 16-7 Service Regulatory information Glossary Resetting the hp 39g+Operating details Variables Home variables Manual conventions PrefaceHewlett Packard’s Calculators web site can be found at Function, Polar, Parametric Preface To cancel On/off, cancel operationsGetting started To turn on Display To adjustParts of the display Contrast Infrared or cable KeyboardMenu keys Displays the Aplet Library menu. See Aplet library on Aplet control keys Button performs Entry/Edit keysSame Shifted keystrokes Math keys Helpwith Menus CommandsProgram Inactive keys Input forms Reset input form values You use the Modes input form to set the modes for Home Mode settingsCurrent aplet and Home give Same result Function arguments. Comma mode Setting Options NumberLists and matrices, and to separate Uses periods dot as separators Press to return to Home Setting a modeAplets E-lessons Polar Example x = cost and y = sintSequence Sequence functions U in terms of n, or Another sequence, such as Un 1 Quad Explorer aplet Seen by experimenting Keys Transforms Graph, with theseAmplitude and frequency Aplet views Symbolic viewAplet library Select Plot-Detail Plot view Numeric view Plot-Table view Plot-Detail viewSelect Plot-Table Plot Setup Aplet view configurationOverlay Plot view Sketch view Views menu contains the Overlay Plot view Where to start Numeric Setup Symbolic SetupMathematical calculations Entering expressions 23 3 EEX Long results Negative numbers Scientific notation powersUsing Entering Calculates Sin 45 + π Explicit and implicit multiplicationParentheses Input Output Last input Edit line Last output Getting started Storing a value in a variable Setting Fraction mode Using fractionsAccessing the display history Clearing the display history Setting fraction precision Fraction Fraction calculationsSelect Converting decimals to fractions Complex numbers Catalogs and editors Defining an expression Symbolic view About the Symbolic viewAplets and their views Aplet views U0. Define the nth term Independent variable in the expressions is T Select Function Evaluating expressionsAplets Home About the Plot view Setting up the plot Plot view setup ΘSTEP Plot view settingsΘRNG Exploring the graph Reset plot settings To move between relations Trace a graph Zoom options Zoom within a graphTo jump directly to a value To turn trace on/off Set SquareFactors Auto Scale Now un-zoom Un-zoom Box Zoom option lets you draw a box around To box zoomOne diagonal of the zoom rectangle To turn on the menu-key Press to zoom in on the boxed area Views menu options Other views for scaling and splitting the graph Press or Split the screenPixel=π/24 radian, 7.58, or About the numeric view Numeric view settings Setting up the table Numeric view setup Numstart and Numstep Exploring the table of numbersNUM view menu keys Zoom within a table Numtype Build Your Own Building your own table of numbersBuild a table Clear data Build Your Own menu keys Example plotting a circle Reset the graph setup to the default settingsPlot the circle, x 2+ y 2 = 9. First rearrange it to read Function aplet, specify the functions Display the functions in numeric form About the Function aplet Function apletGetting started with the Function aplet Open the Function aplet Plot the functions Define the expressions Set up the plotSpecify a grid for the graph Plot the functions Select Auto Change the scale Trace a graphScale Times Select Root Analyse graph with FCN functions Select Signed area Select Slope Select Extremum To find the extremum of the quadratic Display the table of values Display the numeric viewExplore the table Display the symbolic definition for the F1 column Symbolic definition A columnSymbolic definition F1 is displayed at Bottom of the screen To display Or to choose a variable Function aplet interactive analysisSelect Plot FCN Root FCN functionsExtremum Slope Shading area Symbolic view. DisplaysIntersection Cursor. You need to have at Plotting a piecewise-defined function About the Parametric aplet Parametric apletGetting started with the Parametric aplet Define the expressions Set angle measure Set up the plot Plot the expressionSet the angle measure to degrees Select Degrees 120 Overlay plot Display the numbersPlot a triangle graph over the existing circle graph Page Getting started with the Polar aplet Polar apletOpen the Polar aplet Select Polar Display the Plot view menu key labels Explore the graph Display the numbers Sequence aplet Sequence aplet starts in the Symbolic viewAbout the Sequence aplet Getting started with the Sequence aplet Menu keys to assist in the entry of equations Plot Setup, set the Seqplot option to Cobweb Display the . Display the table of values for this example Select CobwebPage About the Solve aplet Solve aplet Open the Solve aplet Getting started with the Solve apletDefine the equation Enter known variables Select Solve Solve the unknown variable Plot the equation Select Auto Scale Use an initial guess Interpreting results Consider the equation of motion for an accelerating body Plotting to find guesses Plot the graph To highlight T Press until the cursor is at the intersection Using variables in equations Getting started with the Statistics aplet Statistics apletAbout the Statistics aplet To move to the next column Enter dataSelect Statistics Choose fit and data columns Explore statistics Select a fit in the Symbolic setup viewSelect Linear Value is Display the equation for best linear fit Setup plot Plot the graph Draw the regression curveTo move to the FIT1 field Slope m is 425.875. The y-intercept b is To highlight Predict values Statistics aplet’s Numeric view keys are Entering and editing statistical data Statistics Variable expression to the edit line Copies the column variable or Again before re-use Clear is usedData sets will need to be selected Plot a histogram of the data Save data Sort data values Edit a data set Delete data Insert data Defining a regression model Angle SettingTo choose the fit Fit models To define your own fit Computed statistics ΣX2 Two-variable7,8,15,16,17 Columns for a linear fit only PlottingTo plot statistical data Histogram Box and Whisker Plot Scatter Plot Plot types Correlation coefficient Relative ErrorFitting a curve to 2VAR data Histogram range Plotting mark 2VAR Connected points 2VAR Setting up the plot Plot setup viewTrouble-shooting a plot Erases the plot Statistics aplet’s Plot view keys Find predicted values Calculating predicted values Statistics aplet Page About the Inference aplet Inference apletGetting started with the Inference aplet Open the Inference aplet Inference aplet’s Symb view keys Table below summarizes the options available Symbolic view Select the inferential method Enter data Setup-NUMSelect Hypoth Test Test 1 ∝ Importing sample statistics from the Statistics aplet Are explained in the feature of this aplet Statistics aplet opens in the Numeric view If the Decimal Mark setting in the Modes input formC1 column, enter the random numbers Produced by the calculator 529 295 952 259 925 592 Open Inference aplet Set up the interval calculationInference Select Conf Interval To move to the C field Display Numeric view Display Plot viewSpecify a 90% Confidence interval in the C field One-Sample Z-Test Hypothesis testsMenu name Inputs Results Two-Sample Z-Test Population 2 standard One-Proportion Z-TestTest 1π Measures the strength of the evidence for a selected Two-Proportion Z-Test One-Sample T-Test With the α level that you Sample standard deviation Pooled? Two-Sample T-Test One-Sample Z-Interval Confidence intervals Two-Sample Z-Interval Two-Proportion Z-Interval One-Proportion Z-Interval One-Sample T-Interval Pooled Two-Sample T-Interval Critical T Critical value for T Background Using the Finance Solver 3 4 Compounding period -- which is Performing TVM calculations Soft menu key. The resulting value is PV = $15,705.85 Example 1 Loan calculations Example 2 Mortgage with balloon payment To calculate amortizations Calculating AmortizationsExample 3 Amortization for home mortgage To continue amortizing the loan Example 4 Amortization for home mortgage Math functions Using mathematical functionsMath menu Name. Note You do not need to press first Function categories Math functions by categorySyntax Functions common to keyboard and menus Value1+ value2 , etc Keyboard functionsEvalue E5 returns LOG100 returns Returns ABS1,2 returns Nthroot 8 returns Calculus functions∂ s1s1 2+3*s1 returns 2*s1+3 S1,2*X+3,X Taylor Complex number functionsARG Conj Hyperbolic trigonometry Constants Loop functions List functions Polynomial functions Matrix functionsPolycoef POLYCOEF2,-3,4,-5 returns1,2,-25 Polyroot PolyevalPolyform Comb Probability functionsPerm Random Real-number functions Frac FnrootHMS→ →HMS MIN MAXMOD Change Round Two-variable statisticsSign Truncate Isolate Symbolic functionsLINEAR? Quad Quote Test functions Trigonometry functions Using formal variables Symbolic calculationsSEC SECvalue To find derivatives in Home Symbolic calculations in the Function apletFinding derivatives Show the result To find derivatives in the Function aplet’s Symbolic viewSelect F2X and evaluate it You could also just define Thus, substituting X for S1, it can be seen that To find the indefinite integral using formal variablesFor example, to find the indefinite integral 11-24 Introduction Variables and memory management Storing and recalling variables Calculations To use variablesYou can use variables in calculations. The calculator Substitutes the variable’s value in the calculation Open the Vars menu Vars menuPress Move the highlight to the variables column Names or values of variables into programs Add the contents of two list variables, and to storeExample Result in another list variable 12-6 Real part, and i represents That you can configure usingVariable on page 15-5 for more Information on storing graphic object via X0, Y0 to X9, Y9 Symbolic view. See To access an apletVariable Aplet variables on page R-7 Line, press and press Memory ManagerPage Vectors MatricesMatrices Matrix Variables POLYROOT1,0,-1,0XM1 Creating and storing matricesMatrix Catalog keys To create a matrix in the Matrix Catalog Or column you are prompted to Make a choice Working with matricesTo transmit a matrix If M2 is 3,4,5,6, then M21,2 returns Key Meaning Moves to the first row, last row, first Create the second matrix Matrix arithmeticTo store one element Matrices 13-7 Element Solving systems of linear equationsTo negate each Select Real matrix Matrix functions and commandsAbout functions Colnorm Argument conventionsCond Cross DOT DETEigenval Eigenvv Rownorm RankRref Schur SVD ExamplesSVL Trace Following set of equations x 2y + 3z = 14 2x + y z = Reduced-Row Echelon Form You can create, edit, delete, send, and receive named Lists List catalog keys List edit keys Create a list To display a list Displaying and editing listsTo display one To edit a list To insert an element 1. Open the List catalog A listPress , and press 148 L12 Deleting lists List functionsTransmitting lists To delete a list CONCATlist1,list2 2,3 returns 5,10,15CONCAT1,2,3,4 returns 1,2,3,4 ∆LISTlist1 ΠLIST2,3,4 returns ΠLISTlistPOSlist, element POS 3, 7, 12, 19,12 returns ΣLIST2,3,4 returns Finding statistical values for list elementsSorts elements in ascending order. SORTlist List, L1 Create L1 with values 88, 90, 89, 65, 70, Are now in column 1 C1 To write a note in Note view Aplet note viewYour work is automatically saved. Press any view key Or to exit the Notes view Commands Contents of variablesSpace key for text entry Alpha-lock for letter entry To draw a line Aplet sketch viewSketch keys Draw keys To draw a box Press to continue drawing, or press Mynote Begins a new note, and asks Opens the selected note forFor a name Another hp 39g+ or PC Press instead Programming Contents of a Program Structured Programming Open Program Catalog Program catalogBe simple-or it can be divided further into other Programs that perform smaller tasks Program catalog keys Press Progrm to open the Program catalog Creating and editing programsCreate a new program Edit a program 1. Press Progrm to On the left, use or to highlight a commandPress to paste the command into the program editor Editing keys Run a program Debug a program Stop a program Using programs Transmit a program Customizing an aplet Example Aplet naming convention Save the aplet Configuring the Setviews menu option programs ’’My Entry1’’’’EXP.ME1’’1 Setviews ’’’’ ’’’’18’’My Entry2’’’’EXP.ME2’’3 ’’ ’’’’EXP.SV’’0 ’’START’’’’EXP.S’’7 Programming commands’’’’’’EXP.ANG’’0 Check Aplet commandsSelect Setviews Auto-run programs Associating programs with your aplet Including standard menu options ProgramNameViewNumber IF...THEN...END Branch commandsUncheck n 1XA IF... THEN... Else Iferr trap-clause Then error-clause ENDEND CASE...END Iferr Then END RUN Drawing commandsStop ARC Graphic commands →GROB →DISPLAYGrobnot Grobor Do a + 1 X a Until a == Loop commands Matrix commands Delrow DelcolEditmat Randmat Prompt commands Print commands Disp ChooseDisptime Disp 3A is 2+2 Getkey Input nametitle,labelhelpdefaultInput Editmat matrixname Msgbox Stat-One and Stat-Two commandsPrompt Wait Stat-Two commands Stat-One commands Plot-view variables Storing and retrieving variables in programsArea Axes Extremum CoordFastRes Grid Indep HwidthInvCross Isect Recenter Nmin / NmaxRoot S1mark-S5mark Slope SimultStatPlot Umin/Umax Tracing Tmin / TmaxTstep Xcross Ytick XtickXmin / Xmax Ymin / Ymax Symbolic-view variables U1...U9, U0 R1...R9, R0E1...E9, E0 S1fit...S5fit C1...C9, C0 Numeric-view variablesDigits Format NumFont NumColNumIndep NumRow NumType NumStepNumZoom StatMode PageNum Sketch variablesGraphicname X PageNum Creating new aplets based on existing aplets Extending aplets Degrees Open the Solve aplet and save it under the new nameSolve Choose the sine formula in E1 Resetting an apletUsing a customized aplet Hewlett-Packard’s Calculators web site can be found at Downloading e-lessons from the webSending and receiving aplets To transmit an aplet Sorting items in the aplet library menu list To sort the aplet list To delete an aplet Glossary Reference informationExpression line# Cross matrix1,matrix2 Record using the Program editor Editor and catalog Matrix Two-dimensional array of valuesVector One-dimensional array of values Set to Comma and enclosed To erase all memory and reset defaults Resetting the hp 39g+To reset using the keyboard Split screens Batteries Operating detailsIf the calculator does not turn on To install the main batteries To install the backup battery Home variables Variables Angle Function aplet variablesArea Root Extremum Slope Isect Parametric aplet variables are Category Available name Plot Parametric aplet variables Polar aplet variables are Category Available names Plot Polar aplet variables Sequence aplet variables are Category Available name Plot Sequence aplet variables Digits NumCol Format NumRow Solve aplet variablesSolve aplet variables are Category Available name Plot Statistics aplet variables Math functions Math menu categoriesMath functions are Category Available name Calculus Hyperb Polynom Category Available name Matrix Program constants Program commands are Category Command Aplet Program commandsBranch Print Status messages Or intersection is not visible Function value, root, extremumCurrent screen Such as 0/0 Hp 39g+ Graphing Calculator Warranty period 12 months Limiting Warranty Limiting Warranty Service Rotc = Rest of the country Canada 905 206-4663 or USA Regulatory information Limiting Warranty Index Maximum real number 11-8 minimum real number Freeze 16-20 Line 16-20 Pixoff 16-20 Pixon 16-20 Tline Grobxor Grobor Inverse hyperbolic cosine 11-8 inverse hyperbolic functions Break Angle measure 1-10 decimal mark 1-11 number format Order of precedence 1-21 overlaying plots 2-16,4-3 11-8 Sending and receiving 16-8 structured Menu lists 1-8 speed searches Navigate around 3-8 numeric values 3-7 numeric view setup Index