Sharp EL-9900 operation manual CdfT cdfTlower limit, upper limit, degree of freedom

Page 189

Chapter 10: Statistics & Regression Calculations

05 cdfT( cdfT(lower limit, upper limit, degree of freedom)

Finds the T distribution probability within the specified range of x for the T distribution with n degrees of freedom. A list cannot be used.

Limitations:

Degree of freedom ≤ 670

• Degrees of freedom is a positive real number.

Example

Find the probability of range X =

0.5to 3.2 for T distribution with 9 degrees of freedom.

06 pdfχ2( pdfχ2(value, degree of freedom)

Finds the probability density of a specified value x for the χ2 distribution with n degrees of freedom. A list cannot be used. Limitations:

Degree of freedom ≤ 141

• Degree of freedom is a positive real number.

Example

Find the probability density of χ2 distribution with 15 degrees of freedom when x = 6.5.

07 cdfχ2( cdfχ2(lower limit, upper limit, degree of freedom)

Finds the χ2 distribution probability of a specified range of x for the χ2 distribution with n degrees of freedom. A list cannot be used.

• Degree of freedom is a positive real number.

Example

Find the probability of range x = 3 to 15 for the χ2 distribution with 10 degrees of freedom.

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Contents EL-9900 For Your Records Their respective holders IntroductionReversible Keyboard Basic ModeAdvanced Mode Default mode Contents Chapter Slide Show Feature 115 Chapter Matrix Features 120Chapter Chapter Financial Features 183 Chapter List Features 131Chapter Solver Feature 194 Chapter Statistics & Regression Calculations 145Chapter Programming Features 202 Chapter Option Menu 222Appendix 228 265 IndexCaring for Your Calculator Before Use Getting StartedAdjusting Using the Hard CoverCalculator OFF Automatic power off function Display contrastMain Unit Part Names and FunctionsDisplay screen Power ON/OFF keyBasic Operation keys Reversible KeyboardGetting Started Example Basic Key OperationsTo change Keyboard Changing the KeyboardQuick Run-through Basic Mode Basic → AdvancedAdvanced → Basic Set up the calculator before calculation Enter fractions Change answer 1. Press @ Mode from Fractions to Decimals Operating the Graphing Calculator How to switch the keyboardBasic / Advanced Keyboard Basic Key Operations Standard Calculation KeysNumber entry Example Entering numbersEntering a Negative valuePerforming standard math calculations Cursor BasicsMethod Cursor naviga Editing EntriesTion About the InsertSecond Function Key Alpha Key Math Function Keys Math Function keys for Basic keyboardMath Function keys for Advanced keyboard Common Math Function Keys for both keyboards Examples MATH, STAT, and Prgm Menu Keys Calculator’s then . configuration Setup MenuSetup Menu Items Operating the Graphing Calculator Precedence of Calculations 10 + Error MessagesUsing the reset switch Resetting the CalculatorSelecting the Reset within the Option menu Try it Basic Calculations Basic KeyboardConcept ProcedurePerforming Arithmetic KeysAddition SubtractionEntering a number with a negative value When to leave out the ⋅ signSpecifying no common factor Calculations Using Various Function KeysSpecifying a common factor Example RAA E RAB E AA +AB E Functions SecondRAC E Example Degrees Calculations Using Math Menu ItemsRadians CalcAbs absvalue NUMIpart ipart value Round roundvalue , digit number of decimalsFpart fpart value Int int valueMax maxlist Min minlistLcm lcmnatural number, natural number Gcd gcdnatural number, natural numberProb Remain natural number remain natural numberRandom random number of trial RndInt rndIntminimum value, maximum value , number of trialRndDice rndDice number of trial RndCoin rndCoin number of trialConv Angle = 3.5 + Basic Graphing Features Basic KeyboardBasic Graphing Features Basic Keyboard Graph Basics Explanations of Various Graphing KeysZoom To select a box area to zoom Power Factor menu, press Eto activate the setup toolFactor EXPTrig STORCL Basic Graphing Features Basic Keyboard Other Useful Graphing Features Following illustration shows these relationships Basic Graphing Features Basic Keyboard Basic Graphing Features Basic Keyboard Basic Graphing Features Basic Keyboard Substitution feature Example Basic Graphing Features Basic Keyboard Advanced Calculations Advanced Keyboard Various Calculation Keys Example Calculate arctangent @t1 E 01 log2 log2 value Calculations Using Math MenuFmaxequation, lower limit of x, upper limit Fminequation, lower limit of x, upper limitDxequation, value of x , tolerance Equation, lower limit, upper limit , tolerance dxSec value ∑ expression, initial value, end value , incrementCsc value Cot valueSinh-1sinh-1value Cosh-1cosh-1valueTanh-1tanh-1value Rectangular/polar coordinate conversion →dms value degrees →dmsXy→θ xy→θx coordinate, y coordinate Xy→r xy→rx coordinate, y coordinateRθ→x rθ→xr coordinate, θ coordinate Rθ→y rθ→yr coordinate, θ coordinateAdvanced Calculations Advanced Keyboard Value a and value B Or value a or value BNot not value Xor value a xor value B Neg neg valueXnor value a xnor value B Conj conjcomplex numberReal realcomplex number Calculations using complex numbersImage imagecomplex number Abs abscomplex numberMore Variables Single Value Variables and List Variables Functions available for complex number calculationsAbs, round, ipart, fpart, int Tool Menu Advanced Calculations Advanced Keyboard Setup Menu Un = un-1⋅ 1 0.6 + Advanced Graphing Features Advanced KeyboardAdvanced Graphing Features Advanced Keyboard Advanced Graphing Features Advanced Keyboard Graphing Parametric Equations Use 3 in or 4 OUT of the a Zoom to adjust the drawing sizeDraw a graph r = 16cosθsinθ Polar GraphingBased Time Graphing SequencesPhase-based uv, uw, or vw Based WebExample 1 n-based Graphing Time Example 2 Phase-based Graphing uv Example 3 n-1-based Graphing Web Calc Function Specific sub Menus Inflec AdvancedAdvanced keyboard specific sub-menus Format SettingSpecific sub Menu items Menus Zoom FunctionsHYP Rectangular coordinate system Setting a WindowParametric coordinate system Polar coordinate systemTables Setting a table 101 Draw Function Draw menu Line104 Vline HlineHLine y-value HLine ExampleVLine Example TlineTlineequation, x-value Tline ExampleDraw equation DrawShade Shadeequation1, equation2 , lower value, upperCircle Example DrawInv DrawInv equationColumn and row definitions for text input Text Textcolumn, row, stringsPntOFFx-coordinate, y-coordinate PntON PntONx-coordinate, y-coordinatePntCHGx-coordinate, y-coordinate PxlONcolumn, rowPxlTST PxlTSTcolumn, row DrawON DrawON equation number 1, .... or DrawONDrawOFF DrawOFF equation number 1, .... or DrawOFF RclGD RclGD number StoGD StoGD number 0-9Saves the graph data ExampleStoPict StoPict number 0-9Saves the pixel data Example Substitution Feature Slide Show Feature Create a newSlide Show Enter x 3x 1x + 2 at the first equation Select a file Select an image Playing back the newly created Slide ShowRearranging the captured images Specify Slide Show menuInsertion point MoveRename DEL3x + 2y + z = 2x + 3y + z = 34 x + 2y + 3z = Matrix FeaturesProblem DimensionsSelect a matrix To editEntering and Viewing a Matrix Editing keys and functions Enter elementsMatrix Matrix + Matrix Matrix Matrix Matrix ⋅ Matrix Square Normal Matrix OperationsSpecial Matrix Operations Calculations using OPE menusDim dimmatrix name Fill fillvalue, matrix nameCumul cumul matrix name Identity identity dimension valueAugment augmentmatrix name, matrix name Rndmat rndmatnumber of row, number of columnRowswap rowswapmatrix name, row number, row number Rowplus rowplusmatrix name, row number, row numberRowmult rowmultmultiplied number, matrix name, row number Mat→listmatrix name, list name 1, ..., list name n Mat→listmatrix name, column number, list nameList→mat list→matlist 1, .... list n, matrix name Det det matrix name Calculations using Math menusTrans trans matrix name RowEF rowEF matrix nameAn expression Use of menusList Features Concept ProcedureEnter each speed value in the list Equation using Store the listEnter Normal List Operations Creating a listCalculate Press @+@ Root of L2 Special List Operations Calculations using the OPE menu functionsSortA sortAlist name SortD sortDlist nameDim dimlist Natural number ⇒ dimlist nameFill fillvalue, list Dflist dflist list Cumul cumul listList→mat list→matlist 1, ..., list n, matrix name Augment augmentlist 1, listMean meanlist , frequency list Median medianlist , frequency list Sum sumlist , start number, end numberProd prodlist , start number, end number Standard deviation and variance Drawing multiple graphs using the list functionStdDv stdDvlist , frequency list Varian varianlist , frequency listStoLD StoLD natural number Using Ldata functionsUsing List Table to Enter or Edit Lists How to enter the listRclLD RclLD natural number How to edit the list Statistics & Regression Calculations Opening the list Press S Table to enterData Statistics & Regression Calculations Graph drawing SettingSelecting Whether148 Stat menus Statistics FeaturesStatistical evaluations available under the C Calc menu Statistical calculations using the Monday data L3 Statistical calculations using the Sunday data L2152 Graphing the statistical data Statistical graph types overview chartGraph Types HistogramNormal probability plot N.P Normal distribution plot N.D Box plot Box Modified box plot MBox Pie chart PIE Scatter diagram S.D XY Line Xyline Specifying statistical graph and graph functions Statistical plotting on/off functionPress DD Limit and press 22 LimON Trace function of statistical graphs TracingGraph SortA sortAlist Data list operationsSortD sortDlist SetList SetList list name 1 , list nameRegression Calculations 161 162 Using Regression Functions 15 x’ value or list x’16 y’ value or list y’ Press #CSD0404 Rgx2 About Statistical Hypothesis TestingResidual list Start a statisti Cal test Press see TestZint1prop and 15 Zint2prop 167 168 169 170 171 172 Ztest1prop Tests the success probability P0 of a population 174 175 176 Distribution functions InvNorm InvNormprobability , mean, standard deviation 07 cdfχ2 cdfχ2lower limit, upper limit, degree of freedom CdfT cdfTlower limit, upper limit, degree of freedomFreedom of denominator 181 Cdfgeo cdfgeosuccess probability, value Cdfpoi cdfpoimean, valueFlow diagram on Financial FeaturesDraw a cash PaperPayment due at the beginning of the period Payment due at the end of the periodPress CC Period Press 11 PmtEnd and press E Setting the payment due timeSimple interest and compound interest Set the TAB FSE 2 and FIX Respectively 188 Solvpmt N, I%, PV, FV, P/Y, C/Y Calc functionsSlvI% N, PV, PMT, FV, P/Y, C/Y SlvPV N, I%, PMT, FV, P/Y, C/Y190 Bal Bal number of payments , decimal place to round Example using the 08 CalculationsConversion functions 11 →Apr →Apr effective interest rate, number of settlements12 →Eff →Eff nominal interest rate, number of settlements Vars Menu Solver Feature Three Analysis Methods Equation, Newton, and GraphicEquation Solver Feature Newton’s 197 198 199 Saving/Renaming Equations for Later Use Recalling a Previously Saved Equation Creating a new Programming FeaturesProgram ExecProgramming Features Programming Hints Storing a Command orProgram line by Blank lineVariables Setting a variableOperands Comparison operandsCommand strings Programming commandsPrgm menu PA Print character stringsKey variable Rem Rem commentsIs set to the corresponding numeric value as specified Following tableBrnch menu PB Scrn menu PCO menu PD Setup menu PE Format menu PF Tab integer 0 to06 Y’ OFF Y’OFF 212 Plt1graph type, X list name , Y list name, frequency list Splot menu PGIf If conditional statements Goto label name Flow control toolsWEnd NextCopy menu PH Other menus convenient for programmingVars menu Value Debugging When an infinite Loop occurs Sample programsMatfill 221 Adjusting the screen contrast Accessing the Option MenuOption Menu Checking the memory usageCreated Linking to another EL-9900 or PC Deleting files225 226 Transmission between the EL Reset functionAppendix Replacing BatteriesHandling Procedures for Replacing unitOperation 230 Calculator’s power won’t turn on Troubleshooting GuideSaved calculator configurations are not retained Graph cannot be seenScreen images cannot be stored Slide Show Specifications Slide Show features Substitution featuresProgram features Power supplyError Codes and Error Messages Break Financial Error Conditions Relating to Specific Tasks% calculation PV calculationPMT calculation FV calculationDistribution function Error conditions during financial calculationsDf = However Γs = 0 x s 1 e x dx Df Degree of freedom Calculation Range Arithmetic calculationFunction calculation Function Calculation range ⋅ 10-99≤ x 1 ⋅ Ln x = loge Log Xy → θ = tan-1 Function Calculation range Σx 1 ⋅ Complex number calculation Catalog Feature List of Menu/Sub-menu Items Math menusMcalc Mprob MnumMconv MangleMineq List menusMlogic Mcomplex@lLDATA @lMATHSEDIT/OPE ScalcSreg Sdistri StestStat Plot mode HIST/B.L./N.P./N.D./BOX/PIE/S.D./XYLINE Stat Plot menusPLOT1/PLOT2/PLOT3/LIMIT/ON/OFF @dDRAW Draw menus@dPOINT Zoom menus@dON/OFF/LINE/GDATA/PICT/SHADE ZzoomFACTOR/POWER Calc menus ZHYP/STO/RCL@kCALC Pin the Prgramming mode Brnch Pin the Prgramming mode PrgmSlide Show menus Prgm menusPin the Prgramming mode Scrn Pin the Prgramming mode I/OPin the Prgramming mode Setup Pin the Prgramming mode Splot Pin the Prgramming mode FormatMatrix menus Pin the Prgramming mode Copy@mNAME @mEDITFinance menus @mMATH@gSOLVER/CALC @gPERIOD Tool menus@gVARS @VN BASE/SYSTEM/POLYSolver menus @in the Solver mode METHOD/EQTN/SAVE/RENAMEIndex 266 267 268 269 270 271 272 Europe Sharp Corporation
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EL-9900 specifications

The Sharp EL-9900 is a remarkable scientific calculator that exhibits a fusion of advanced features, cutting-edge technology, and an ergonomic design tailored for both students and professionals. One of the standout characteristics of the EL-9900 is its extensive range of functions, boasting over 550 built-in calculations that cover various mathematical and scientific disciplines. This calculator is particularly popular among engineering and physics students due to its ability to handle complex calculations with ease.

One of the key features of the EL-9900 is its 2-line display, which allows users to view both the input and the result simultaneously. This dual display enhances usability, especially when dealing with intermediate steps in calculations. The calculator also includes a built-in 12-digit LCD screen, which ensures clarity and precision in reading numbers, making it easier for users to work for extended periods without straining their eyes.

The EL-9900 is equipped with a wide array of mathematical functions, including trigonometric, logarithmic, and exponential functions. Notably, it supports fraction calculations, statistical analyses, and unit conversions. Its advanced programming capabilities, such as 36 programmable functions and the ability to store data, further enhance its functionality, allowing users to create custom calculations tailored to specific needs.

One of the more modern technologies incorporated into the EL-9900 is its solar-powered function, which is complemented by a battery backup, ensuring that the device remains operable in varied lighting conditions. This environmentally friendly design reduces the need for frequent battery replacements, making it a cost-effective choice for users.

In terms of design, the Sharp EL-9900 boasts a slim profile and lightweight construction, which makes it portable and easy to carry. Its durable casing ensures that it can withstand the rigors of daily use, whether in a classroom setting or a professional environment.

Overall, the Sharp EL-9900 stands out as a versatile scientific calculator packed with features designed to meet the needs of students and professionals alike. Its robust functionality, clear display, and user-friendly design make it a reliable tool for anyone engaged in mathematical and scientific pursuits. Whether used for basic calculations or advanced problem-solving, the EL-9900 remains a powerhouse in the realm of scientific calculators.
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