HP 10bII+ Financial manual GIJ7gSy4, GÆJ7gSyI, Students T Probability Lower Tail

Page 139

Student's T Probability Lower Tail

Figure 11

To calculate the area under the Student's T Distribution curve, first enter the degrees of freedom, followed by the t-value. It is a two-number function, so it may be entered as either

an in-line function, or by using Æ.

Example:

What is the lower tail probability associated with a Student’s T distribution with 8 degrees of freedom (df1) with a t-value of -1.86?

Table 12-21

Example of Student’s t (lower tail)

 

 

 

 

 

 

 

 

Keys

 

Display

Description

 

 

 

 

 

 

g]IJ7gSy4

.0499653

Calculates the lower tail

 

 

probability.

or, using Æ:

gÆJ7gSy]I

Returns the same results.

 

 

 

Figure 12

Figure 13

Statistical Calculations 131

Page 138 Page 140
Image 139
Page 138 Page 140
Contents HP Part Number NW239-90001 Edition 1, May HP 10bII+ Financial Calculator User’s GuideLegal Notice HP 10bII+ Financial Calculator Number Keyboard Map LegendTable of Contents Page Page III At a Glance JGDBasics of Key Functions Boxed Key Functions Shift KeysAdd 15% to Jj7V1JV§4 PercentagesMemory Keys JVÀGG¼ DDÃGV4 GG4J7GV Time Value of Money TVM JG\ÍDSÙ JYÏHow much can you borrow at a 9.5% interest rate? JyÌD7VÒ TVM What ifAmortization JæjgAmortize the 1 st through 24 th loan payments Depreciation Interest Rate Conversion Cash Flows, IRR/YR, NPV, and NFV \½\«GD¤ Yy¤Yj¤ JÆG¤VG4 G7GgGJDate and Calendar Bonds Y7jVÔ S7jVÎFor more information on bond calculations, refer to , Bonds Break-even \e \« \k \«\T \« \h \«\T\« GÆV¡YÆd¡ SÆJS¡Probability \5V7VF 17GV4Trigonometric Functions 7SGFind Sin θ =.62 in degrees. If RAD is displayed, press \aJg Convert the results to radians using PiAt a Glance Displayed text Power On and OffGetting Started Manual Conventions and ExamplesItem before the / is the alternate Shift Keys Operating Modes GY7jJ1SG7Yj4JdPJG7Sg4 Simple Arithmetic Calculations7dJ4 Calculations in Chain Mode1JJV7V4 S7dPV7DVaJG\n Calculations in Algebraic ModeUsing Parentheses in Calculations Da\qgVAClearing the Calculator JVyAD4 Understanding the Display and Keyboard CursorClear All AnnunciatorsClearing Messages INV Same as pressing Input KeySwap Key Statistics KeysOne-Number Functions Gd7GV\BD7Vj1G7DS\b Math FunctionsGetting Started 7DVoR \5YJVc J1SCPY7V\2 A7SGoR\5G YP\In-line Functions J7GVrc17VdrC Two-Number FunctionsGd1DD Jj\¨JjÆ Gd\¨-23below lists the two-number functions of the calculator Arithmetic with One-and Two-number FunctionsJGV\QD4 G7V\KLast Answer VAJ7GV4\Qv4 GG1JY\¨Specifying Displayed Decimal Places \5DYV7SP 7JGVS4\54 Jaj4\zyJG Messages D7gjSVYDPercent key GV§Business Percentages Business Percentage KeysJgpvæ JGV1j§GdJ7j\¨ DJS7g4Margin Calculations GvvàJdÀ Margin and Markup CalculationsD7SÀ Using Margin and Markup TogetherJVà Number Storage and Storage Register Arithmetic Using Stored Numbers in CalculationsUsing Constants V1GªExample Calculate 23 J1J§ª\QDª Example Calculate 10 + 10%, 11 + 10%, and 25 + 10%VV\¨DGª Using the M RegisterYV4 JS7dVm Using Numbered RegistersJjs JY7GVmV7Y YjV7S\w7Y ADd7JV \wG VS7J1G7V YV7j \wD\wPD How to approach a Financial Problem Picturing Financial ProblemsSimple Interest Signs of Cash FlowsPeriods and Cash Flows Simple and Compound InterestCompound Interest Interest RatesRecognizing a TVM Problem Two Types of Financial ProblemsCash flow diagram Borrower’s perspective Recognizing a Cash Flow ProblemCash flow diagram Investment in a mutual fund Time Value of Money Calculations Using the TVM ApplicationTVM Keys Loan Calculations Begin and End ModesJVÏ DpjgùJ7VÒ JyvaDjVyÌ 1VÌ1JV4 DDyÌ J7VÒ1JG4 JjGVÏ GV\ÚG7gÒ 1vÌ4 YgÙSavings Calculations J7GÒ GyÏGyÌ GY\ÍJV\Ú S7DÒYyÏ Lease Calculations Cash flow diagram Calculate the monthly lease paymentJVÉ Cash flow diagram Calculate PV of the leaseStep Find the present value of the buy option YjÙGYyÌ 1vÌy41p4 JVyÉStep Add the results of ’ ’ and ’ ’ Amort key on the HP 10bII+ allows you to calculate To AmortizeJ7jVÒ JJ7VÒ JdægyJygvï VYÆ GVÆAmortize the 1st, 25th, and 54th payments First Bank S7j\ÓInterest Rate Conversions Investments With Different Compounding PeriodsCompounding and Payment Periods Differ S7SV\ÓS7SD\Ó DS\ÍGVyÌ DSV\ÍResetting the TVM Keys Depreciation Keys DepreciationItem in the selected format Inputs 5 for the expected useful life Depreciation example using Declining Balance Keys Cash Flow Calculations How to Use the Cash Flow ApplicationNumber1 ¤ Clearing the Cash Flow MemoryCash Flow Calculations Gy¤ Vy¤Calculating Internal Rate of Return Organizing Cash Flows JJjSV7Gd¤AJG NPV and IRR/YR Discounting Cash FlowsInitial cash flow and cash flow groups JJy¤Viewing and Editing Cash Flows 11GÆ 1JGyÆ1G JVÆ1GÆCalculating Net Present Value and Net Future Value VÆJ¤ ÆY¤VÆG¤ JVÒ JVÆJ¤Æd¤ JÆJ¤Automatic Storage of IRR/YR and NPV Cash flow diagram Calculates NPVCalendar Format Calendar Formats and Date CalculationsDate Format Using the Input key Date Calculation Date Calculations and Number of DaysÆJ\Ç To enter the data for this example using the ÆkeyJG7JgGJJ \ÇJ4J7JjGJG \5SY7SGJ\Ä DJ7JGJ4J7JjGJGÆ Using the ÆkeyS7YGJV\Ä Bond Keys BondsY7GgGJ JJÑ S7YGGV7VÎ JYËJ7JVGG Resetting the bond keysY7JVGJG Break-even Keys Break-evenBreak-even example Calculating the projected maximum fixed cost Resetting the Break-even keys \Z\« \k\«\h\« \e\«Entering Statistical Data Clearing Statistical DataOne-Variable Statistics Two-Variable Statistics and Weighted MeanViewing and Editing Statistical Data DVÆVJV¡ DGÆYJV¡YD\W\5G DjÆSgV¡ YDÆJGD¡YV\W Summary of Statistical Calculations D7jV¡ Y7V¡D7GV¡ D7V¡JgVÆjj¡ JdDÆd¡JgGÆgJ¡ JjjÆgD¡400 VÆGgd¡ GÆJY¡JÆdG¡ DÆJJ¡ VÆGGSV¡Weighted Mean VJSÆdG¡ VÆVY¡VVÆDG¡ VJÆgg¡Factorial Probability CalculationsPermutations VÆD9 VD4VÆD V9D4Advanced Probability Distributions YG\w6Normal Lower Tail Probability J7jyFInverse of Normal Lower Tail Probability 7GVoFGÆJ7gSyI GIJ7gSy4Students T Probability Lower Tail GSÆ7VoI GSoI7V4Inverse of Student’s t Probability Lower Tail Conversions from Lower Tail Y1J4PG4 J7GyFReturns desired value of z Statistical Calculations Business Applications Setting a Sales Price\qJ1\q GaJ4 Additional ExamplesYÆJSjV¡ VÆGVd¡ JÆJ¡GÆJJGJ¡ DÆJDS¡YVsPJ§ Gpdspj\q\qJ AG\n \qDAAJPJ4 Jg§YVjG7gy Yield of a Discounted or Premium Mortgage Annual Percentage Rate for a Loan With Fees VÙAYGÙJdyÏ G7VÒAD§Ï JSÏAG§Ï JGÒ1YVÏ AJGPJSaDP YV\«§4Jjvï JgvïD7VÒ PvÙ4Canadian Mortgages JG\ÓJDÏ ÉD\ÚDVVVyÌ JJ7GÒWhat if … TVM Calculations Savings GS\ÍPvÙ1 VÏ4Stores effective rate as annual Gains That Go Untaxed Until Withdrawal JyyùPJV§4 DVÙYòìï Wrap-Around Mortgages G7JjVAGgDyÌ Cash Flow ExamplesGGVJ7GG Cash flow diagram Wrap-around mortgageVÌy¤ DVy¤VÌyAjVY GG\¥Appendix a Batteries and Answers to Common Questions Power and BatteriesLow Power Annunciator Installing BatteriesErasing the calculator’s memory Determining if the Calculator Requires ServiceResetting the calculator Calculator won’t turn onAnswers to Common Questions See Determining If the Calculator Requires ServiceEnvironmental Limits IRR/YR Calculations Appendix B More About CalculationsEquations Interest Rate Conversions Payment Mode Factor S = 0 for End mode 1 for Begin modeTime Value of Money TVM AmortizationCash-Flow Calculations For more than one coupon period to redemption BondsStatistics DepreciationForecasting Tvm registers were cleared Appendix C MessagesMemory has been erased Ch Cashflow memory was clearedStatistical memory and registers were cleared Bond registers were clearedReplacing the Batteries Warranty, Regulatory, and Contact InformationHP Limited Hardware Warranty and Customer Care Limited Hardware Warranty PeriodExclusions General TermsModifications Avis Canadien Canadian NoticeEuropean Union Regulatory Notice Germany Customer Care Contact Information Perchlorate Material special handling may apply香港特別行 Tobago Tunisia Turkey Türkiye Turks 01-800-711-2884 ไทยWarranty, Regulatory, and Contact Information Warranty, Regulatory, and Contact Information Error messages Factorial Advance payments Algebraic modeBattery Chain modeKeys In-line functions InterestInterest rate conversions Investments KeyboardOperating modes Parentheses Trigonometric functions TroubleshootingWarranty Modes
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10bII+ Financial specifications

The HP 10bII+ Financial Calculator is a versatile and powerful tool designed to meet the needs of finance students, professionals, and anyone involved in financial planning and analysis. Known for its compactness and user-friendly interface, this calculator incorporates a range of features specifically tailored for financial calculations, making it an essential gadget for banking, real estate, and investment analysis.

At the heart of the HP 10bII+ is its ability to perform a wide variety of financial functions, including time value of money calculations, cash flow analysis, bond pricing, and depreciation. Its built-in functions facilitate the computation of interest rates, present and future values, net present value (NPV), internal rate of return (IRR), and annuities. This array of functionalities allows users to tackle complex financial problems with ease.

One of the standout technologies in the HP 10bII+ is its RPN (Reverse Polish Notation) input system, which allows for efficient data entry and calculation. Users can perform consecutive calculations without the need for parentheses, streamlining the process significantly. Alternatively, the calculator can also function with a standard algebraic input, catering to different user preferences.

The design of the HP 10bII+ is sleek and compact, making it highly portable and easy to handle. With a large, easy-to-read display, it ensures that users can view their calculations clearly, even in low-light environments. The keys are well-spaced and tactile, allowing for a comfortable typing experience during intensive calculations.

The calculator also offers a range of memory functions, enabling users to store and recall important values easily. This is particularly useful for financial professionals who must deal with multiple calculations and refer back to previous results frequently.

Additionally, the HP 10bII+ is powered by two AAA batteries, providing a long battery life that ensures reliability during extended use. It also features an automatic shut-off function, which conserves battery life when the calculator is not in use.

In summary, the HP 10bII+ Financial Calculator is a high-performance device that combines essential financial functions with user-friendly design and robust technology. Whether for educational purposes or professional finance work, its capabilities make it an invaluable asset for anyone dealing with financial calculations and decision-making.
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