value {value1,value2,value3,value4,.,value n}
also designates degrees (D) in DMS format. ' (minutes) designates minutes (M) in DMS format. " (seconds) designates seconds (S) in DMS format.
Note: " is not on the ANGLE menu. To enter ", press [].
Radians (radians) designates an angle or list of angles as radians, regardless of the current angle mode setting. In Degree mode, you can use r to convert radians to degrees.

valuer

Degree mode
8DMS 8DMS (degree/minute/second) displays answer in DMS format. The mode setting must be Degree for answer to be interpreted as degrees, minutes, and seconds. 8DMS is valid only at the end of a line.

answer8DMS

R8Pr (, R8Pq(, P8Rx(, P8Ry(
R8Pr( converts rectangular coordinates to polar coordinates and returns r. R8Pq( converts rectangular coordinates to polar coordinates and returns q. x and y can be lists. R8Pr(x,y), R8Pq(x,y) Note: Radian mode is set.
P8Rx( converts polar coordinates to rectangular coordinates and returns x. P8Ry( converts polar coordinates to rectangular coordinates and returns y. r and q can be lists. P8Rx(r,q), P8Ry(r,q) Note: Radian mode is set.
TEST (Relational) Operations
TEST Menu To display the TEST menu, press y :.
This operator. Returns 1 (true) if.
TEST 1: = 2: 3: > 4: 5: < 6:
Equal Not equal to Greater than Greater than or equal to Less than Less than or equal to
=, , >, , <, Relational operators compare valueA and valueB and return 1 if the test is true or 0 if the test is false. valueA and valueB can be real numbers, expressions, or lists. For = and only, valueA and valueB also can be matrices or complex numbers. If valueA and valueB are matrices, both must have the same dimensions. Relational operators are often used in programs to control program flow and in graphing to control the graph of a function over specific values.
valueA=valueB valueA>valueB valueA<valueB valueAvalueB valueAvalueB valueAvalueB
Using Tests Relational operators are evaluated after mathematical functions according to EOS rules (Chapter 1). The expression 2+2=2+3 returns 0. The TI-84 Plus performs the addition first because of EOS rules, and then it compares 4 to 5. The expression 2+(2=2)+3 returns 6. The TI-84 Plus performs the relational test first because it is in parentheses, and then it adds 2, 1, and 3.

zero finds a zero (x-intercept or root) of a function using solve(. Functions can have more than one x-intercept value; zero finds the zero closest to your guess.
The time zero spends to find the correct zero value depends on the accuracy of the values you specify for the left and right bounds and the accuracy of your guess. To find a zero of a function, follow these steps. 1. Select 2:zero from the CALCULATE menu. The current graph is displayed with Left Bound? in the bottom-left corner. 2. Press } or to move the cursor onto the function for which you want to find a zero. 3. Press | or ~ (or enter a value) to select the x-value for the left bound of the interval, and then press. A 4 indicator on the graph screen shows the left bound. Right Bound? is displayed in the bottom-left corner. Press | or ~ (or enter a value) to select the x-value for the right bound, and then press. A 3 indicator on the graph screen shows the right bound. Guess? is then displayed in the bottom-left corner.
4. Press | or ~ (or enter a value) to select a point near the zero of the function, between the bounds, and then press.
The cursor is on the solution and the coordinates are displayed, even if CoordOff format is selected. To move to the same x-value for other selected functions, press } or. To restore the free-moving cursor, press | or ~. minimum, maximum
minimum and maximum find a minimum or maximum of a function within a specified interval to a
tolerance of 1L5. To find a minimum or maximum, follow these steps. 1. Select 3:minimum or 4:maximum from the CALCULATE menu. The current graph is displayed. 2. Select the function and set left bound, right bound, and guess as described for zero.
The cursor is on the solution, and the coordinates are displayed, even if you have selected CoordOff format; Minimum or Maximum is displayed in the bottom-left corner. To move to the same x-value for other selected functions, press } or. To restore the freemoving cursor, press | or ~. intersect
intersect finds the coordinates of a point at which two or more functions intersect using solve(. The intersection must appear on the display to use intersect.
To find an intersection, follow these steps. 1. Select 5:intersect from the CALCULATE menu. The current graph is displayed with First curve? in the bottom-left corner.

Note: You also can select a variable from the PICTURE secondary menu ( 4). The variable is pasted next to StorePic.
3. Press to display the current graph and store the picture.
Recalling Graph Pictures (Pic)
Recalling a Graph Picture To recall a graph picture, follow these steps. 1. Select 2:RecallPic from the DRAW STO menu. RecallPic is pasted to the current cursor location. 2. Enter the number (from 1 to 9, or 0) of the picture variable from which you want to recall a picture. For example, if you enter 3, the TI-84 Plus will recall the picture stored to Pic3.
Note: You also can select a variable from the PICTURE secondary menu ( 4). The variable is pasted next to RecallPic.
3. Press to display the current graph with the picture superimposed on it.
Note: Pictures are drawings. You cannot trace a curve that is part of a picture.
Deleting a Graph Picture To delete graph pictures from memory, use the MEMORY MANAGEMENT/DELETE secondary menu (Chapter 18).
Storing Graph Databases (GDB)
What Is a Graph Database? A graph database (GDB) contains the set of elements that defines a particular graph. You can recreate the graph from these elements. You can store up to 10 GDBs in variables GDB1 through GDB9, or GDB0 and recall them to recreate graphs. A GDB stores five elements of a graph. Graphing mode Window variables Format settings All functions in the Y= editor and the selection status of each Graph style for each Y= function
GDBs do not contain drawn items or stat plot definitions. Storing a Graph Database To store a graph database, follow these steps.
1. Select 3:StoreGDB from the DRAW STO menu. StoreGDB is pasted to the current cursor location. 2. Enter the number (from 1 to 9, or 0) of the GDB variable to which you want to store the graph database. For example, if you enter 7, the TI-84 Plus will store the GDB to GDB7.
Note: You also can select a variable from the GDB secondary menu ( 3). The variable is pasted next to StoreGDB.
3. Press to store the current database to the specified GDB variable.

v Gx Gx2

XY XY XY XY

w Gy Gy2

sy Gxy
minX maxX minX maxX minY maxY Q1 Med Q3 a, b a, b, c, d, e r r2, R2 RegEQ x1, y1, x2, y2, x3, y3
XY XY XY XY PTS PTS PTS EQ EQ EQ EQ EQ PTS
Q1 and Q3 The first quartile (Q1) is the median of points between minX and Med (median). The third quartile (Q3) is the median of points between Med and maxX.
Statistical Analysis in a Program
Entering Stat Data You can enter statistical data, calculate statistical results, and fit models to data from a program. You can enter statistical data into lists directly within the program (Chapter 11).
Statistical Calculations To perform a statistical calculation from a program, follow these steps. 1. On a blank line in the program editor, select the type of calculation from the STAT CALC menu. 2. Enter the names of the lists to use in the calculation. Separate the list names with a comma. 3. Enter a comma and then the name of a Y= variable, if you want to store the regression equation to a Y= variable.

Statistical Plotting

Steps for Plotting Statistical Data in Lists You can plot statistical data that is stored in lists. The six types of plots available are scatter plot, xyLine, histogram, modified box plot, regular box plot, and normal probability plot. You can define up to three plots. To plot statistical data in lists, follow these steps. 1. Store the stat data in one or more lists. 2. Select or deselect Y= functions as appropriate. 3. Define the stat plot. 4. Turn on the plots you want to display. 5. Define the viewing window. 6. Display and explore the graph.

Scatter

Scatter (")plots plot the data points from Xlist and Ylist as coordinate pairs, showing each point as a box ( ), cross ( + ), or dot ( ). Xlist and Ylist must be the same length. You can use the same list for Xlist and Ylist.

xyLine

xyLine ()is a scatter plot in which the data points are plotted and connected in order of appearance in Xlist and Ylist. You may want to use SortA( or SortD( to sort the lists before you plot

Histogram

Histogram () plots one-variable data. The Xscl window variable value determines the width of each bar, beginning at Xmin. ZoomStat adjusts Xmin, Xmax, Ymin, and Ymax to include all values, and also adjusts Xscl. The inequality (Xmax N Xmin) Xscl 47 must be true. A value that occurs on
the edge of a bar is counted in the bar to the right.

ModBoxplot

ModBoxplot () (modified box plot) plots one-variable data, like the regular box plot, except points that are 1.5 Interquartile Range beyond the quartiles. (The Interquartile Range is defined as the difference between the third quartile Q3 and the first quartile Q1.) These points are plotted individually beyond the whisker, using the Mark ( or + or ) you select. You can trace these points, which are called outliers.

see Note above yes
Variable Type Groups Variables with reserved names System variables
Archive? (yes/no) see Note above
UnArchive? (yes/no) no not applicable not applicable
minX, maxX, RegEQ, and others Xmin, Xmax, and others
Archiving and unarchiving can be done in two ways: Use the 5:Archive or 6:UnArchive commands from the MEMORY menu or CATALOG. Use a Memory Management editor screen.
Before archiving or unarchiving variables, particularly those with a large byte size (such as large programs) use the MEMORY menu to: Find the size of the variable. See if there is enough free space.
For: Archive UnArchive Sizes must be such that: Archive free size > variable size RAM free size > variable size
Note: If there is not enough space, unarchive or delete variables as necessary. Be aware that
when you unarchive a variable, not all the memory associated with that variable in user data archive will be released since the system keeps track of where the variable has been and where it is now in RAM. Even if there appears to be enough free space, you may see a Garbage Collection message when you attempt to archive a variable. Depending on the usability of empty blocks in the user data archive, you may need to unarchive existing variables to create more free space. To archive or unarchive a list variable (L1) using the Archive/UnArchive options from the MEMORY menu: 1. Press y L to display the MEMORY menu.
2. Select 5:Archive or 6:UnArchive to place the command in the Home screen. 3. Press y d to place the L1 variable in the Home screen.
4. Press to complete the archive process.
Note: An asterisk will be displayed to the left of the Archived variable name to indicate it is
archived. To archive or unarchive a list variable (L1) using a Memory Management editor: 1. Press y L to display the MEMORY menu.
2. Select 2:Mem Mgmt/Del to display the MEMORY MANAGEMENT/DELETE menu.
3. Select 4:List to display the LIST menu.
4. Press to archive L1. An asterisk will appear to the left of L1 to indicate it is an archived variable. To unarchive a variable in this screen, put the cursor next to the archived variable and press. The asterisk will disappear.
5. Press y 5 to leave the LIST menu.
Note: You can access an archived variable for the purpose of linking, deleting, or unarchiving it, but

you cannot edit it.

Resetting the TI-84 Plus

RAM ARCHIVE ALL Menu

Reset displays the RAM ARCHIVE ALL menu. This menu gives you the option of resetting all
memory (including default settings) or resetting selected portions of memory while preserving other data stored in memory, such as programs and Y= functions. For instance, you can choose to reset all of RAM or just restore the default settings. Be aware that if you choose to reset RAM, all data and programs in RAM will be erased. For archive memory, you can reset variables (Vars), applications (Apps), or both of these. Be aware that if you choose to reset Vars, all data and programs in archive memory will be erased. If you choose to reset Apps, all applications in archive memory will be erased. When you reset defaults on the TI-84 Plus, all defaults in RAM are restored to the factory settings. Stored data and programs are not changed. These are some examples of TI-84 Plus defaults that are restored by resetting the defaults. Mode settings such as Normal (notation); Func (graphing); Real (numbers); and Full (screen)

Prompts to rename receiving variable. Overwrites data in receiving duplicate variable. variables.
3: Overwrite All Overwrites data in all receiving duplicate 4: Omit 5: Quit
Skips ungrouping of sending variable. Stops ungrouping at duplicate variable.
Notes about Menu Items: When you select 1:Rename, the Name= prompt is displayed, and alpha-lock is on. Enter a new variable name, and then press. Ungrouping resumes. When you select 2:Overwrite, the unit overwrites the data of the duplicate variable name found in RAM. Ungrouping resumes. When you select 3: Overwrite All, the unit overwrites the data of all duplicate variable names found in RAM. Ungrouping resumes. When you select 4:Omit, the unit does not ungroup the variable in conflict with the duplicated variable name found in RAM. Ungrouping resumes with the next item. When you select 5:Quit, ungrouping stops, and no further changes are made.
To ungroup a group of variables: 1. Press y L to display the MEMORY menu.
2. Select 8:Group to display the GROUP UNGROUP menu. 3. Press ~ to display the UNGROUP menu.
4. Press } and to move the selection cursor (4) next to the group variable you want to ungroup, and then press.
The ungroup action is completed.
Note: Ungrouping does not remove the group from user data archive. You must delete the group in
user data archive to remove it.

Garbage Collection

Garbage Collection Message If you use the user data archive extensively, you may see a Garbage Collect? message. This occurs if you try to archive a variable when there is not enough free contiguous archive memory. The Garbage Collect? message lets you know an archive will take longer than usual. It also alerts you that the archive will fail if there is not enough memory. The message can also alert you when a program is caught in a loop that repetitively fills the user data archive. Select No to cancel the garbage collection process, and then find and correct the errors in your program. When YES is selected, the TI-84 Plus will attempt to rearrange the archived variables to make additional room. Responding to the Garbage Collection Message To cancel, select 1:No. If you select 1:No, the message ERR:ARCHIVE FULL will be displayed. To continue archiving, select 2:Yes. If you select 2:Yes, the process message Garbage Collecting. or Defragmenting. will be displayed.
Note: The process message Defragmenting. is displayed whenever an application marked for
deletion is encountered. Garbage collection may take up to 20 minutes, depending on how much of archive memory has been used to store variables. After garbage collection, depending on how much additional space is freed, the variable may or may not be archived. If not, you can unarchive some variables and try again. Why Is Garbage Collection Necessary? The user data archive is divided into sectors. When you first begin archiving, variables are stored consecutively in sector 1. This continues to the end of the sector. An archived variable is stored in a continuous block within a single sector. Unlike an application stored in user data archive, an archived variable cannot cross a sector boundary. If there is not enough space left in the sector, the next variable is stored at the beginning of the next sector. Typically, this leaves an empty block at the end of the previous sector.

Displays all items as selected, including RAM and Flash applications. Displays all items as deselected. Displays all program names. Displays all list names. Displays list names L1 through L6. Displays all graph databases. Displays all picture data types. Displays all matrix data types. Displays all real variables. Displays all complex variables. Displays all Y= variables. Displays all string variables. Displays all software applications. Displays all software application variables. Displays all grouped variables. Sends the Calculator ID number immediately. (You do not need to select SEND.) Sends operating system updates to another TI-84 Plus Silver Edition or TI-84 Plus. You can not send the operating system to the TI-83 Plus product family. Selects all RAM and mode settings (no Flash applications or archived items) for backup to another TI-84 Plus, TI-84 Plus Silver Edition, TI-83 Plus Silver Edition, or to a TI-83 Plus.
1: All+. 2: AllN. 3: Prgm. 4: List. 5: Lists to TI82. 6: GDB. 7: Pic. 8: Matrix. 9: Real. 0: Complex. A: Y-Vars. B: String. C: Apps. D: AppVars. E: Group. F: SendId G: SendOS

H: Back Up.

When you select an item on the LINK SEND menu, the corresponding SELECT screen is displayed.
Note: Each SELECT screen, except All+, is initially displayed with nothing pre-selected. All+ is displayed with everything pre-selected.
To select items to send: 1. Press y 8 on the sending unit to display the LINK SEND menu.
2. Select the menu item that describes the data type to send. The corresponding SELECT screen is displayed. 3. Press } and to move the selection cursor ( 4 ) to an item you want to select or deselect. 4. Press to select or deselect the item. Selected names are marked with a 0.
Note: An asterisk () to the left of an item indicates the item is archived.
5. Repeat steps 3 and 4 to select or deselect additional items. Sending the Selected Items After you have selected items to send on the sending unit and set the receiving unit to receive, follow these steps to transmit the items. To set the receiving unit, see Receiving Items. 1. Press ~ on the sending unit to display the TRANSMIT menu.
2. Confirm that Waiting. is displayed on the receiving unit, which indicates it is set to receive. 3. Press to select 1:Transmit. The name and type of each item are displayed line-by-line on the sending unit as the item is queued for transmission, and then on the receiving unit as each item is accepted.
Note: Items sent from the RAM of the sending unit are transmitted to the RAM of the receiving unit. Items sent from user data archive (flash) of the sending unit are transmitted to user data archive (flash) of the receiving unit.

Insufficient Memory in Receiving Unit During transmission, if the receiving unit does not have sufficient memory to receive an item, the Memory Full menu is displayed on the receiving unit. To skip this item for the current transmission, select 1:Omit. Transmission resumes with the next item. To cancel the transmission and exit receive mode, select 2:Quit.
Appendix A: Functions and Instructions
Functions return a value, list, or matrix. You can use functions in an expression. Instructions initiate an action. Some functions and instructions have arguments. Optional arguments and accompanying commas are enclosed in brackets ( [ ] ). For details about an item, including argument descriptions and restrictions, turn to the page listed on the right side of the table. From the CATALOG, you can paste any function or instruction to the home screen or to a command line in the program editor. However, some functions and instructions are not valid on the home screen. The items in this table appear in the same order as they appear in the CATALOG. indicates either keystrokes that are valid in the program editor only or ones that paste certain instructions when you are in the program editor. Some keystrokes display menus that are available only in the program editor. Others paste mode, format, or table-set instructions only when you are in the program editor.
Function or Instruction/Arguments abs(value) Key or Keys/Menu or Screen/Item
Result Returns the absolute value of a real number, expression, list, or matrix. Returns the magnitude of a complex number or list.

NUM 1:abs(

abs(complex value)

CPX 5:abs(

valueA and valueB
Returns 1 if both valueA and valueB are 0. valueA and valueB can be real numbers, expressions, or lists. Returns the polar angle of a complex number or list of complex numbers.

LOGIC 1:and

angle(value)

CPX 4:angle(

ANOVA(list1,list2 [,list3,.,list20]) Ans Archive Asm(assemblyprgmname) AsmComp(prgmASM1, prgmASM2) AsmPrgm augment(matrixA, matrixB)
Performs a one-way analysis of variance for comparing the means of two to 20 populations. TESTS H:ANOVA( Returns the last answer. Moves the specified variables from RAM to the user data archive memory. Executes an assembly language program.

5:Archive

Compiles an assembly language program written in ASCII y N and stores the hex version. AsmComp( Must be used as the first line of an assembly language program. Returns a matrix, which is matrixB appended to matrixA as new columns.

AsmPrgm

DISTR F:geometcdf(

Computes a probability at x, the number of the trial on which y = the first success occurs, for the discrete geometric DISTR distribution with the specified probability of success p. E:geometpdf( Gets data from the CBL 2 or CBR System and stores it in variable. I/O A:Get( Gets contents of variable on another TI-84 Plus and stores it to variable on the receiving TI-84 Plus. By default, the TI-84 I/O Plus uses the USB port if it is connected. If the USB cable 0:GetCalc( is not connected, it uses the I/O port. portflag=0 use USB port if connected; portflag=1 use USB port; portflag=2 use I/O port. Returns a list giving the date according to the current value y N of the clock. The list is in {year,month,day} format. getDate Returns an integer representing the date format that is currently set on the device. 1 = M/D/Y 2 = D/M/Y 3 = Y/M/D Returns a string of the current date in the format specified by integer, where: 1 = M/D/Y 2 = D/M/Y 3 = Y/M/D

Get(variable)

GetCalc(variable [,portflag])

getDate getDtFmt

getDtFmt

getDtStr(integer)

getDtStr(

getTime

Returns a list giving the time according to the current value y N of the clock. The list is in {hour,minute,second} format. The getTime time is returned in the 24 hour format. Returns an integer representing the clock time format that is currently set on the device. 12 = 12 hour format 24 = 24 hour format Returns a string of the current clock time in the format specified by integer, where: 12 = 12 hour format 24 = 24 hour format Returns the key code for the current keystroke, or 0, if no key is pressed. Transfers control to label.

getTmFmt

getTmStr(integer)

getTmStr(

I/O 7:getKey CTL 0:Goto

Goto label

Function or Instruction/Arguments GraphStyle(function#, graphstyle#) GridOff GridOn G-T Horiz Horizontal y
Result Sets a graphstyle for function#.
Key or Keys/Menu or Screen/Item CTL H:GraphStyle( y. GridOff y. GridOn z G-T z Horiz
Turns off grid format. Turns on grid format. Sets graph-table vertical split-screen mode. Sets horizontal split-screen mode. Draws a horizontal line at y.

DRAW 3:Horizontal

identity(dimension)
Returns a complex number. Returns the identity matrix of dimension rows x dimension columns. If condition = 0 (false), skips commandA.

yV y>

MATH 5:identity( CTL 1:If CTL 2:Then

Line(X1,Y1,X2,Y2,0)
Erases a line from (X1,Y1) to (X2,Y2).
LinReg(a+bx) [Xlistname, Fits a linear regression model to Xlistname and Ylistname Ylistname,freqlist, with frequency freqlist, and stores the regression equation regequ] to regequ. LinReg(ax+b) [Xlistname, Fits a linear regression model to Xlistname and Ylistname Ylistname,freqlist, with frequency freqlist, and stores the regression equation regequ] to regequ. LinRegTInt [Xlistname, Ylistname,freqlist, confidence level, regequ] LinRegTTest [Xlistname, Ylistname,freqlist, alternative,regequ] Performs a linear regression and computes the t confidence interval for the slope coefficient b.

CALC 8:LinReg(a+bx)

CALC 4:LinReg(ax+b) TESTS G:LinRegTInt TESTS F:LinRegTTest
Performs a linear regression and a t-test. alternative=L1 is <; alternative=0 is ; alternative=1 is >. Returns a list containing the differences between consecutive elements in list. Fills matrixname column by column with the elements from each specified listname.

@List(list)

OPS 7:@List(
List 4 matr(listname1,., listname n,matrixname) ln(value) LnReg [Xlistname, Ylistname,freqlist, regequ] log(value) logBASE(value, base) Logistic [Xlistname, Ylistname,freqlist, regequ]

OPS 0:List 4 matr(

Returns the natural logarithm of a real or complex number, expression, or list. Fits a logarithmic regression model to Xlistname and Ylistname with frequency freqlist, and stores the regression CALC equation to regequ. 9:LnReg Returns logarithm of a real or complex number, expression, or list.
Returns the logarithm of a specifed value determined from a specified base: logBASE(value, base). A: logBASE Fits a logistic regression model to Xlistname and Ylistname with frequency freqlist, and stores the regression equation to regequ.

CALC B:Logistic

Function or Instruction/Arguments Manual-Fit equname
Result Fits a linear equation to a scatter plot.

CALC D:Manual-Fit

MATHPRINT
Displays most entries and answers the way they are displayed in textbooks, such as.
Matr4list(matrix, listnameA,.,listname n) Matr4list(matrix, column#,listname) max(valueA,valueB)
Fills each listname with elements from each column in matrix. Fills a listname with elements from a specified column# in matrix. Returns the larger of valueA and valueB.

OPS A:Matr4list(

NUM 7:max(

max(list)

Returns largest real or complex element in list.

NUM 0:remainder(

Reports the remainder as a whole number from a division of two lists where the divisor is not zero. Reports the remainder as a whole number from a division of two whole numbers where the divisor is a list. Reports the remainder as a whole number from a division of two lists. Executes commands until condition is true.
NUM 0:remainder( CTL 6:Repeat CTL E:Return
:Repeat condition :commands :End :commands Return
Returns to the calling program.

round(value[,#decimals])

Returns a number, expression, list, or matrix rounded to #decimals ( 9). Returns a matrix with row of matrix multiplied by value and stored in row. Returns a matrix with rowA of matrix added to rowB and stored in rowB.

NUM 2:round(

row(value,matrix,row)

MATH E:row(

row+(matrix,rowA,rowB)

MATH D:row+(

Result Returns a matrix with rowA of matrix multiplied by value, added to rowB, and stored in rowB. Returns a matrix with rowA of matrix swapped with rowB.
row+(value,matrix, rowA,rowB)
rowSwap(matrix,rowA, rowB) rref(matrix)

MATH F:row+(

MATH C:rowSwap(
Returns the reduced row-echelon form of a matrix.

MATH B:rref(

R4Pr(x,y)
Returns R, given rectangular coordinates x and y or a list of rectangular coordinates.

ANGLE 5:R4Pr(

R4Pq(x,y)
Returns q, given rectangular coordinates x and y or a list of y ; rectangular coordinates. ANGLE 6:R4Pq( TESTS E:2-SampTest
2-SampTest [listname1, Performs a two-sample test. alternative=L1 is <; listname2,freqlist1, alternative=0 is ; alternative=1 is >. drawflag=1 draws freqlist2,alternative, results; drawflag=0 calculates results. drawflag] (Data list input) 2-SampTest Sx1,n1, Sx2,n2[,alternative, drawflag] (Summary stats input) 2-SampTInt [listname1, listname2, freqlist1,freqlist2, confidence level,pooled] (Data list input) 2-SampTInt v1,Sx1,n1, Performs a two-sample test. alternative=L1 is <; alternative=0 is ; alternative=1 is >. drawflag=1 draws results; drawflag=0 calculates results. Computes a two-sample t confidence interval. pooled=1 pools variances; pooled=0 does not pool variances.
TESTS E:2-SampTest TESTS 0:2-SampTInt

v2,Sx2,n2

[,confidence level,pooled] (Summary stats input) 2-SampTTest [listname1, listname2,freqlist1, freqlist2,alternative, pooled,drawflag] (Data list input) 2-SampTTest v1,Sx1,n1, v2,Sx2,n2[,alternative, pooled,drawflag] (Summary stats input)
Computes a two-sample t confidence interval. pooled=1 pools variances; pooled=0 does not pool variances.
TESTS 0:2-SampTInt TESTS 4:2-SampTTest
Computes a two-sample t test. alternative=L1 is <; alternative=0 is ; alternative=1 is >. pooled=1 pools variances; pooled=0 does not pool variances. drawflag=1 draws results; drawflag=0 calculates results. Computes a two-sample t test. alternative=L1 is <; alternative=0 is ; alternative=1 is >. pooled=1 pools variances; pooled=0 does not pool variances. drawflag=1 draws results; drawflag=0 calculates results.

ERR:INVALID DIM Error The ERR:INVALID DIM error message may occur if you are trying to graph a function that does not involve the stat plot features. The error can be corrected by turning off the stat plots. To turn the stat plots off, press y , and then select 4:PlotsOff. Link-Receive L1 (or any file) to Restore Message Your TI-84 Plus displays the Link-Receive L1 (or any file) to Restore message if it has been disabled for testing, and not re-enabled. To restore your calculator to full functionality after testing, link to another TI-84 Plus and transfer any file to the disabled calculator, or use TI Connect software to download a file from your computer to your TI-84 Plus. To transfer a file from another TI-84 Plus: 1. On the receiving unit, press y 8 and then select RECEIVE. 2. On the sending calculator, Press y 8. 3. Select a file to send by selecting a category, and then selecting a file to send.
4. Select TRANSMIT to send the file.
Contrast Feature If the contrast setting is too dark (set to 9) or too dim (set to 0) the unit may appear as if it is malfunctioning or turned off. To adjust the contrast, press and release y, and then press and hold } or. TI-84 Plus Identification Code Your graphing calculator has a unique identification (ID) code that you should record and keep. You can use this 14 digit ID to register your calculator at education.ti.com or identify your calculator in the event that it is lost or stolen. A valid ID includes numbers 0 through 9 and the letters A through F.
You can view the calculators Operating System, Product Number, ID, and Certificate Revision Number from the About screen. To display the About screen, press y L and then select 1:About.
Your unique product ID code: _____________________________ Backups Your TI-84 Plus is similar to a computer, in that it stores files and Apps that are important to you. It is always a good idea to back up your graphing calculator device files and Apps using the TI Connect software and a USB computer cable. You can find the specific procedures for backing up your calculators device files and Apps in the TI Connect Help file. Apps TI-84 Plus Software Applications (Apps) is software that you can add to your calculator in the same way you would add software to your computer. Apps let you customize your calculator for peak performance in specific areas of study. You can find apps for the TI-84 Plus at education.ti.com. TI-Cares KnowledgeBase The TI-Cares KnowledgeBase provides 24-hour access through the Web to find answers to frequently asked questions. The TI-Cares KnowledgeBase searches its repository of known solutions and presents you with the solutions that are most likely to solve your problem. You can search the TI-Cares KnowledgeBase at education.ti.com/support.

STAT TESTS menu 216 statistical distribution functions See distribution functions 35 statistical plotting 204 Boxplot (regular box plot) 206 defining 207 from a program 209 Histogram 205 ModBoxplot (modified box plot) 205 NormProbPlot (normal probability plot) 206 tracing 209 turning on/off stat plots 69, 208 viewing window 209 xyLine 205 statistical variables table 202 Stats input option 214, 215 stdDev( (standard deviation) 175, 378 Stop 280, 378 Store (!) 20, 378 StoreGDB 134, 378 StorePic 133, 378 storing graph databases (GDBs) 134 graph pictures 133 variable values 20 String4Equ( (string-to-equation conversions) 264, 378 strings concatenation (+) 263, 384 converting 263 defined 260 displaying contents 262 entering 260 functions in CATALOG 262 indicator () 260 length (length( ) 264 length (length( ) 367 storing 261 variables 261 student-t distribution probability (tcdf( ) 237 probability (tcdf( ) 379 student-t distribution probability density function (tpdf( ) 237 probability density function (tpdf( ) 379 sub( (substring) 265, 378 subroutines 280 subtraction () 35, 384 sum( (summation) 175, 378 system variables 386
T (transpose matrix) 154, 382 TABLE SETUP screen 115 tables description 117 variables 115, 116 tan( (tangent) 35, 378 tan/( (arctangent) 35, 378 tangent (tan( ) 35 tangent (tan( ) 378
tangent lines, drawing 125 Tangent( (draw line) 125, 378 tanh( (hyperbolic tangent) 266, 378 tanh/( (hyperbolic arctangent) 266, 378 TblStart (table start variable) 115 tcdf( (student-t distribution probability) 237, 379 TEST (relational menu) 61 TEST LOGIC (Boolean menu) 62 Text( instruction 128, 141, 379 placing on a graph 128, 141 Then 275, 365 thick graph style 70 TI Connect 348 TI-84 Plus key code diagram 285 keyboard 1 Time axes format 106, 379 time value of money (TVM) C/Y variable (number of compounding periods per year) 256 calculating 248 formulas 392 FV variable (future value) 256 I% variable (annual interest rate) 256 N variable (number of payment periods) 256 P/Y variable (number of payment periods per year) 256 PMT variable (payment amount) 256 PV variable (present value) 256 TVM Solver 246 tvm_FV (future value) 250, 379 tvm_I% (interest rate) 379 tvm_I% (interest rate) 249 tvm_N (# payment periods) 249, 379 tvm_Pmt (payment amount) 249, 379 tvm_PV (present value) 249, 380 variables 255 timeCnv( ), convert time 379 TInterval (one-sample t confidence interval) 379 TInterval (one-sample t confidence interval) 224 tpdf( (student-t distribution probability density function) 237, 379 TRACE cursor 78 entering numbers during 78, 95, 99, 107 expression display 75, 78 Trace instruction in a program 79, 379 transmitting error conditions 356 from a TI-from a TI-83 Plus Silver Edition or TI-83 Plus 355 from a TI-84 Plus Silver Edition or TI-84 Plus 355 stopping 350 to a TI-84 Plus Silver Edition or TI-84 Plus 350 transpose matrix (T) 154, 382 trigonometric functions 35 T-Test (one-sample t test) 219, 379 turn clock off, ClockOff 359 turn clock on, ClockOn 359 turning on and off Index 421

147 y Z

Continuing an Expression You can use Ans as the first entry in the next expression without entering the value again or pressing y Z. On a blank line on the home screen, enter the function. The TI-84 Plus pastes the variable name Ans to the screen, then the function.
Storing Answers To store an answer, store Ans to a variable before you evaluate another expression.
Calculate the area of a circle of radius 5 meters. Next, calculate the volume of a cylinder of radius 5 meters and height 3.3 meters, and then store the result in the variable V. yB 5 33 V

TI-84 Plus Menus

Using a TI-84 Plus Menu You can access most TI-84 Plus operations using menus. When you press a key or key combination to display a menu, one or more menu names appear on the top line of the screen. The menu name on the left side of the top line is highlighted. Up to seven items in that menu are displayed, beginning with item 1, which also is highlighted. A number or letter identifies each menu items place in the menu. The order is 1 through 9, then 0, then A, B, C, and so on. The LIST NAMES, PRGM EXEC, and PRGM EDIT menus only label items 1 through 9 and 0. When the menu continues beyond the displayed items, a down arrow ($) replaces the colon next to the last displayed item. When a menu item ends in an ellipsis (.), the item displays a secondary menu or editor when you select it.
When an asterisk () appears to the left of a menu item, that item is stored in user data archive (Chapter 18).
To display any other menu listed on the top line, press ~ or | until that menu name is highlighted. The cursor location within the initial menu is irrelevant. The menu is displayed with the cursor on the first item. Displaying a Menu While using your TI-84 Plus, you often will need to access items from its menus. When you press a key that displays a menu, that menu temporarily replaces the screen where you are working. For example, when you press , the MATH menu is displayed as a full screen.
After you select an item from a menu, the screen where you are working usually is displayed again.
Moving from One Menu to Another Some keys access more than one menu. When you press such a key, the names of all accessible menus are displayed on the top line. When you highlight a menu name, the items in that menu are displayed. Press ~ and | to highlight each menu name.
Scrolling a Menu To scroll down the menu items, press. To scroll up the menu items, press }. To page down six menu items at a time, press . To page up six menu items at a time, press }. The green arrows on the graphing calculator, between and }, are the page-down and page-up symbols. To wrap to the last menu item directly from the first menu item, press }. To wrap to the first menu item directly from the last menu item, press.

TEST LOGIC (Boolean) Operations
TEST LOGIC Menu To display the TEST LOGIC menu, press y : ~.
This operator. Returns a 1 (true) if.

TEST 1: and 2: or 3: xor

Both values are nonzero (true). At least one value is nonzero (true). Only one value is zero (false). The value is zero (false).

4: not(

Boolean Operators Boolean operators are often used in programs to control program flow and in graphing to control the graph of the function over specific values. Values are interpreted as zero (false) or nonzero (true). and, or, xor
and, or, and xor (exclusive or) return a value of 1 if an expression is true or 0 if an expression is false, according to the table below. valueA and valueB can be real numbers, expressions, or lists.
valueA and valueB valueA or valueB valueA xor valueB valueA valueB and returns returns returns returns or xor 1 0
not( returns 1 if value (which can be an expression) is 0. not(value)
Using Boolean Operations Boolean logic is often used with relational tests. In the following program, the instructions store 4 into C.
Chapter 3: Function Graphing
Getting Started: Graphing a Circle
Getting Started is a fast-paced introduction. Read the chapter for details. Graph a circle of radius 10, centered on the origin in the standard viewing window. To graph this circle, you must enter separate formulas for the upper and lower portions of the circle. Then use ZSquare (zoom square) to adjust the display and make the functions appear as a circle. 1. In Func mode, press o to display the Y= editor. Press y C 100 to enter the expression Y=(100NX 2), which defines the top half of the circle.
The expression Y=L(100NX 2) defines the bottom half of the circle. On the TI-84 Plus, you can define one function in terms of another. To define Y2=LY1, press to enter the negation sign. Press ~ to display the VARS Y-VARS menu. Then press to select 1:Function. The FUNCTION secondary menu is displayed. Press 1 to select 1:Y1.
2. Press q 6 to select 6:ZStandard. This is a quick way to reset the window variables to the standard values. It also graphs the functions; you do not need to press s. Notice that the functions appear as an ellipse in the standard viewing window. 3. To adjust the display so that each pixel represents an equal width and height, press q 5 to select 5:ZSquare. The functions are replotted and now appear as a circle on the display.
4. To see the ZSquare window variables, press p and notice the new values for Xmin, Xmax, Ymin, and Ymax.

Defining Graphs

TI-84 PlusGraphing Mode Similarities Chapter 3 specifically describes function graphing, but the steps shown here are similar for each TI-84 Plus graphing mode. Chapters 4, 5, and 6 describe aspects that are unique to parametric graphing, polar graphing, and sequence graphing.
Defining a Graph To define a graph in any graphing mode, follow these steps. Some steps are not always necessary. 1. Press z and set the appropriate graph mode. 2. Press o and enter, edit, or select one or more functions in the Y= editor. 3. Deselect stat plots, if necessary. 4. Set the graph style for each function. 5. Press p and define the viewing window variables. 6. Press y. and select the graph format settings. Displaying and Exploring a Graph After you have defined a graph, press s to display it. Explore the behavior of the function or functions using the TI-84 Plus tools described in this chapter. Saving a Graph for Later Use You can store the elements that define the current graph to any of 10 graph database variables (GDB1 through GDB9, and GDB0; Chapter 8). To recreate the current graph later, simply recall the graph database to which you stored the original graph. These types of information are stored in a GDB. Y= functions Graph style settings

Setting the Viewing Window Variables
The TI-84 Plus Viewing Window The viewing window is the portion of the coordinate plane defined by Xmin, Xmax, Ymin, and Ymax. Xscl (X scale) defines the distance between tick marks on the x-axis. Yscl (Y scale) defines the distance between tick marks on the y-axis. To turn off tick marks, set Xscl=0 and Yscl=0.
Displaying the Window Variables To display the current window variable values, press p. The window editor above and to the right shows the default values in Func graphing mode and Radian angle mode. The window variables differ from one graphing mode to another.
Xres sets pixel resolution (1 through 8) for function graphs only. The default is 1.
At Xres=1, functions are evaluated and graphed at each pixel on the x-axis. At Xres=8, functions are evaluated and graphed at every eighth pixel along the x-axis.
Note: Small Xres values improve graph resolution but may cause the TI-84 Plus to draw
graphs more slowly. Changing a Window Variable Value To change a window variable value from the window editor, follow these steps. 1. Press or } to move the cursor to the window variable you want to change. 2. Edit the value, which can be an expression. Enter a new value, which clears the original value. Move the cursor to a specific digit, and then edit it.
3. Press , , or }. If you entered an expression, the TI-84 Plus evaluates it. The new value is stored.
Note: Xmin<Xmax and Ymin<Ymax must be true in order to graph.
Storing to a Window Variable from the Home Screen or a Program To store a value, which can be an expression, to a window variable, begin on a blank line and follow these steps. 1. Enter the value you want to store. 2. Press. 3. Press to display the VARS menu. 4. Select 1:Window to display the Func window variables (X/Y secondary menu). Press ~ to display the Par and Pol window variables (T/q secondary menu).
Press ~ ~ to display the Seq window variables (U/V/W secondary menu).
5. Select the window variable to which you want to store a value. The name of the variable is pasted to the current cursor location. 6. Press to complete the instruction. When the instruction is executed, the TI-84 Plus stores the value to the window variable and displays the value.

You can enter the function name from the keyboard.
To enter the function name u, press y [u] (above ). To enter the function name v, press y [v] (above ). To enter the function name w, press y [w] (above ).
Generally, sequences are either nonrecursive or recursive. Sequences are evaluated only at consecutive integer values. n is always a series of consecutive integers, starting at zero or any positive integer. Nonrecursive Sequences In a nonrecursive sequence, the nth term is a function of the independent variable n. Each term is independent of all other terms. For example, in the nonrecursive sequence below, you can calculate u(5) directly, without first calculating u(1) or any previous term.
The sequence equation above returns the sequence 2, 4, 6, 8, 10, for n = 1, 2, 3, 4, 5, .
Note: You may leave blank the initial value u(nMin) when calculating nonrecursive

sequences.

Recursive Sequences In a recursive sequence, the nth term in the sequence is defined in relation to the previous term or the term that precedes the previous term, represented by u(nN1) and u(nN2). A recursive sequence may also be defined in relation to n, as in u(n)=u(nN1)+n. For example, in the sequence below you cannot calculate u(5) without first calculating u(1), u(2), u(3), and u(4).
Using an initial value u(nMin) = 1, the sequence above returns 1, 2, 4, 8, 16,.
Note: On the TI-84 Plus, you must type each character of the terms. For example, to enter u(nN1), press y [u] .
Recursive sequences require an initial value or values, since they reference undefined terms. If each term in the sequence is defined in relation to the previous term, as in u(nN1), you must specify an initial value for the first term.
If each term in the sequence is defined in relation to the term that precedes the previous term, as in u(nN2), you must specify initial values for the first two terms.
Enter the initial values as a list enclosed in braces ({ }) with commas separating the values.
The value of the first term is 0 and the value of the second term is 1 for the sequence
Setting Window Variables To display the window variables, press p. These variables define the viewing window. The values below are defaults for Seq graphing in both Radian and Degree angle modes. nMin=1 nMax=10 PlotStart=1 PlotStep=1 Xmin=L10

PRGM I/O Menu Output( Instruction For the Output( instruction: In Horiz mode, row must be {4; column must be {16. In G-T mode, row must be {8; column must be {16.
Output(row,column,"text") Note: The Output( instruction can only be used within a program.
Setting a Split-Screen Mode from the Home Screen or a Program To set Horiz or G-T from a program, follow these steps. 1. Press z while the cursor is on a blank line in the program editor. 2. Select Horiz or G-T. The instruction is pasted to the cursor location. The mode is set when the instruction is encountered during program execution. It remains in effect after execution.
Note: You also can paste Horiz or G-T to the home screen or program editor from the

CATALOG (Chapter 15).

Chapter 10: Matrices
Getting Started: Systems of Linear Equations
Getting Started is a fast-paced introduction. Read the chapter for details. Find the solution of X + 2Y + 3Z = 3 and 2X + 3Y + 4Z = 3. On the TI-84 Plus, you can solve a system of linear equations by entering the coefficients as elements in a matrix, and then using rref( to obtain the reduced row-echelon form. 1. Press y. Press ~ ~ to display the MATRX EDIT menu. Press 1 to select 1: [A]. 2. Press to define a 24 matrix. The rectangular cursor indicates the current element. Ellipses (.) indicate additional columns beyond the screen. 3. Press 1 to enter the first element. The rectangular cursor moves to the second column of the first row.
4. Press 3 to complete the first row for X + 2Y + 3Z = 3. 5. Press to enter the second row for 2X + 3Y + 4Z = 3. 6. Press y 5 to return to the home screen. If necessary, press to clear the home screen. Press y ~ to display the MATRX MATH menu. Press } to wrap to the end of the menu. Select B:rref( to copy rref( to the home screen. 7. Press y 1 to select 1: [A] from the MATRX NAMES menu. Press . The reduced row-echelon form of the matrix is displayed and stored in Ans. 1X N 1Z = L3 1Y + 2Z = 3 therefore therefore X = L3 + Z Y = 3 N 2Z

Defining a Matrix

What Is a Matrix? A matrix is a two-dimensional array. You can display, define, or edit a matrix in the matrix editor. The TI-84 Plus has 10 matrix variables, [A] through [J]. You can define a matrix directly in an expression. A matrix, depending on available memory, may have up to 99 rows or columns. You can store only real numbers in TI-84 Plus matrices.

| or ~ or }

Function Switches to editing context; activates the edit cursor on the bottom line Switches to editing context; clears the value on the bottom line Switches to editing context; clears the value on the bottom line; copies the character to the bottom line Nothing Nothing

Any entry character

Editing a Matrix Element In editing context, an edit cursor is active on the bottom line. To edit a matrix element value, follow these steps. 1. Select the matrix from the MATRX EDIT menu, and then enter or accept the dimensions. 2. Press |, }, ~, and to move the cursor to the matrix element you want to change. 3. Switch to editing context by pressing , , or an entry key. 4. Change the value of the matrix element using the editing-context keys described below. You may enter an expression, which is evaluated when you leave editing context.
Note: You can press to restore the value at the rectangular cursor if you

make a mistake.

5. Press , }, or to move to another element.

Editing-Context Keys

Key Function Moves the edit cursor within the value Stores the value displayed on the bottom line to the matrix element; switches to viewing context and moves the rectangular cursor within the column Stores the value displayed on the bottom line to the matrix element; switches to viewing context and moves the rectangular cursor to the next row element Clears the value on the bottom line Copies the character to the location of the edit cursor on the bottom line Activates the insert cursor Deletes the character under the edit cursor on the bottom line
Using Matrices with Expressions
Using a Matrix in an Expression To use a matrix in an expression, you can do any of the following. Copy the name from the MATRX NAMES menu. Recall the contents of the matrix into the expression with y K (Chapter 1). Enter the matrix directly (see below).
Entering a Matrix in an Expression You can enter, edit, and store a matrix in the matrix editor. You also can enter a matrix directly in an expression. To enter a matrix in an expression, follow these steps. 1. Press y [ [ ] to indicate the beginning of the matrix. 2. Press y [ [ ] to indicate the beginning of a row. 3. Enter a value, which can be an expression, for each element in the row. Separate the values with commas. 4. Press y [ ] ] to indicate the end of a row. 5. Repeat steps 2 through 4 to enter all of the rows.
6. Press y [ ] ] to indicate the end of the matrix.
Note: The closing ]] are not necessary at the end of an expression or preceding !.

can store data for statistical calculations. Also, you can store data to list names that you create (Chapter 11). Setting Up a Statistical Analysis To set up a statistical analysis, follow these steps. Read the chapter for details. 1. Enter the statistical data into one or more lists. 2. Plot the data. 3. Calculate the statistical variables or fit a model to the data. 4. Graph the regression equation for the plotted data. 5. Graph the residuals list for the given regression model. Displaying the Stat List Editor The stat list editor is a table where you can store, edit, and view up to 20 lists that are in memory. Also, you can create list names from the stat list editor. To display the stat list editor, press , and then select 1:Edit from the STAT EDIT menu.
The top line displays list names. L1 through L6 are stored in columns 1 through 6 after a memory reset. The number of the current column is displayed in the top-right corner. The bottom line is the entry line. All data entry occurs on this line. The characteristics of this line change according to the current context. The center area displays up to seven elements of up to three lists; it abbreviates values when necessary. The entry line displays the full value of the current element.
Using the Stat List Editor
Entering a List Name in the Stat List Editor To enter a list name in the stat list editor, follow these steps. 1. Display the Name= prompt in the entry line in either of two ways. Move the cursor onto the list name in the column where you want to insert a list, and then press y 6. An unnamed column is displayed and the remaining lists shift right one column. Press } until the cursor is on the top line, and then press ~ until you reach the unnamed column.
Note: If list names are stored to all 20 columns, you must remove a list name to
make room for an unnamed column. The Name= prompt is displayed and alpha-lock is on.
2. Enter a valid list name in any of four ways. Select a name from the LIST NAMES menu (Chapter 11). Enter L1, L2, L3, L4, L5, or L6 from the keyboard. Enter an existing user-created list name directly from the keyboard. Enter a new user-created list name.
3. Press or to store the list name and its elements, if any, in the current column of the stat list editor.
To begin entering, scrolling, or editing list elements, press. The rectangular cursor is displayed.

5. Press to select 8:TInterval. The inferential stat editor for TInterval is displayed. If Data is not selected for Inpt:, press | to select Data. Press and [H] [G] [H] [T] at the List: prompt (alpha-lock is on). Press 99 to enter a 99 percent confidence level at the C-Level: prompt.
6. Press to move the cursor onto Calculate, and then press. The confidence interval is calculated, and the TInterval results are displayed on the home screen.
Interpret the results. The first line, (159.74,173.94), shows that the 99 percent confidence interval for the population mean is between about 159.74 centimeters and 173.94 centimeters. This is about a 14.2 centimeters spread. The.99 confidence level indicates that in a very large number of samples, we expect 99 percent of the intervals calculated to contain the population mean. The actual mean of the population sampled is 165.1 centimeters, which is in the calculated interval. The second line gives the mean height of the sample v used to compute this interval. The third line gives the sample standard deviation Sx. The bottom line gives the sample size n. To obtain a more precise bound on the population mean m of womens heights, increase the sample size to 90. Use a sample mean v of 163.8 and sample standard deviation Sx
of 7.1 calculated from the larger random sample. This time, use the Stats (summary statistics) input option. 7. Press | 8 to display the inferential stat editor for TInterval. Press ~ to select Inpt:Stats. The editor changes so that you can enter summary statistics as input. 8. Press to store 163.8 to v. Press to store 7.1 to Sx. Press 90 to store 90 to n.
9. Press to move the cursor onto Calculate, and then press to calculate the new 99 percent confidence interval. The results are displayed on the home screen.
If the height distribution among a population of women is normally distributed with a mean m of 165.1 centimeters and a standard deviation s of 6.35 centimeters, what height is exceeded by only 5 percent of the women (the 95th percentile)? 10. Press to clear the home screen. Press y = to display the DISTR (distributions) menu.
11. Press 3 to paste invNorm( to the home screen. Press 35 .95 is the area, 165.1 is m, and 6.35 is s.
The result is displayed on the home screen; it shows that five percent of the women are taller than 175.5 centimeters. Now graph and shade the top 5 percent of the population. 12. Press p and set the window variables to these values.

Z-Test (one-sample z test; item 1) performs a hypothesis test for a single unknown
population mean m when the population standard deviation s is known. It tests the null hypothesis H0: m=m0 against one of the alternatives below. Ha: mm0 (m:m0) Ha: m<m0 (m:<m0) Ha: m>m0 (m:>m0)

In the example:

L1={299.4 297.298.9 300.2 297} Data Input: Stats

Calculated results:

Drawn results:
Note: All STAT TESTS examples assume a fixed-decimal mode setting of 4 (Chapter 1). If you set the decimal mode to Float or a different fixed-decimal setting, your output may differ from the output in the examples.

T-Test

T-Test (one-sample t test; item 2) performs a hypothesis test for a single unknown
population mean m when the population standard deviation s is unknown. It tests the null hypothesis H0: m=m0 against one of the alternatives below. Ha: mm0 (m:m0) Ha: m<m0 (m:<m0) Ha: m>m0 (m:>m0)
TEST={91.9 97.8 111.4 122.3 105.4 95} Data Input: Stats

Data Calculated results:

2-SampZTest
2-SampZTest (two-sample z test; item 3) tests the equality of the means of two
populations (m1 and m2) based on independent samples when both population standard deviations (s1 and s2) are known. The null hypothesis H0: m1=m2 is tested against one of the alternatives below. Ha: m1m2 (m1:m2) Ha: m1<m2 (m1:<m2) Ha: m1>m2 (m1:>m2)
LISTA={140} LISTB={146} Data Input: Stats

2-SampTTest

2-SampTTest (two-sample t test; item 4) tests the equality of the means of two
populations (m1 and m2) based on independent samples when neither population standard deviation (s1 or s2) is known. The null hypothesis H0: m1=m2 is tested against one of the alternatives below. Ha: m1m2 (m1:m2) Ha: m1<m2 (m1:<m2) Ha: m1>m2 (m1:>m2)
SAMP1={12.207 16.869 25.05 22.429 8.456 10.589} SAMP2={11.074 9.686 12.064 9.351 8.182 6.642} Data Input: Stats

Data Drawn results:

1-PropZTest
1-PropZTest (one-proportion z test; item 5) computes a test for an unknown proportion of successes (prop). It takes as input the count of successes in the sample x and the count of observations in the sample n. 1-PropZTest tests the null hypothesis H0: prop=p0 against one of the alternatives below.

v, Sx, n s1 s2

List1, List2

Freq1, Freq2

v1, Sx1, n1, v2, Sx2, n2 Summary statistics (mean, standard deviation, and sample size)

Pooled

Specifies whether variances are to be pooled for 2-SampTTest and 2-SampTInt. No instructs the TI-84 Plus not to pool the variances. Yes instructs the TI-84 Plus to pool the variances.
Input p0 x n x1 x2 n1 n2 C-Level
Description The expected sample proportion for 1-PropZTest. Must be a real number, such that 0 < p0 < 1. The count of successes in the sample for the 1-PropZTest and 1-PropZInt. Must be an integer | 0. The count of observations in the sample for the 1-PropZTest and 1-PropZInt. Must be an integer > 0. The count of successes from sample one for the 2-PropZTest and 2-PropZInt. Must be an integer | 0. The count of successes from sample two for the 2-PropZTest and 2-PropZInt. Must be an integer | 0. The count of observations in sample one for the 2-PropZTest and 2-PropZInt. Must be an integer > 0. The count of observations in sample two for the 2-PropZTest and 2-PropZInt. Must be an integer > 0. The confidence level for the interval instructions. Must be 0 and < 100. If it is 1, it is assumed to be given as a percent and is divided by 100. Default=0.95. The matrix name that represents the columns and rows for the observed values of a two-way table of counts for the c2-Test and

Observed (Matrix)

c2GOF-Test. Observed must contain all integers | 0. Matrix
dimensions must be at least 22. Expected (Matrix) The matrix name that specifies where the expected values should be stored. Expected is created upon successful completion of the c2-Test and c2GOF-Test.

Input df

Description df (degree of freedom) represents (number of sample categories) - (number of estimated parameters for the selected distribution + 1). The names of the lists containing the data for LinRegTTest and LinRegTInt. Defaults are L1 and L2, respectively. The dimensions of Xlist and Ylist must be the same. The prompt for the name of the Y= variable where the calculated regression equation is to be stored. If a Y= variable is specified, that equation is automatically selected (turned on). The default is to store the regression equation to the RegEQ variable only.

Quitting EasyData

1. To quit EasyData, select Quit (press s). The Ready to quit? screen is displayed, which indicates that the collected data has been transferred to lists L1 through L4 on the TI-84 Plus. 2. Press OK (press s) to quit. EasyData Settings
Changing EasyData settings
EasyData displays the most commonly used settings before data collection begins.
To change a predefined setting: 1. From the main screen in the EasyData App, choose Setup and select 2: Time Graph. The current settings are displayed on the calculator.
Note: If using a motion detector, settings for 3: Distance Match and 4: Ball Bounce in the Setup menu are preset and cannot be changed.
2. Select Next (press q) to move to the setting you want to change. Press to clear a setting. 3. Repeat to cycle through the available options. When the option is correct, select Next to move to the next option. 4. To change a setting, enter 1 or 2 digits, and then select Next (press q). 5. When all the settings are correct, select OK (press s) to return to the main menu. 6. Select Start (press q) to begin collecting data.
Restoring EasyData to the default settings
The default settings are appropriate for a wide variety of sampling situations. If you are unsure of the best settings, begin with the default settings, and then adjust the settings for your specific activity. To restore the default settings in EasyData while a data collection device is connected to the TI-84 Plus, choose File and select 1:New.
Starting and Stopping Data Collection

Starting Data Collection

To start sampling, select Start (press q). Sampling will automatically stop when the number of samples set in the Time Graph Settings menu is reached. The TI-84 Plus will then display a graph of the sampled data.

Stopping Data Collection

To stop sampling before it automatically stops, select Stop (press and hold q) at any time during the sampling process. When sampling stops, a graph of the sampled data is displayed. Saving Collected Data Collected data is automatically transferred to the TI-84 Plus and stored in lists L1 through L4 when data collection is complete. When you exit the EasyData App, a prompt reminds you of the lists in which time, distance, velocity, and acceleration are stored.
For more information about the EasyData app, refer to the Texas Instrument Web site at: education.ti.com/guides.
Chapter 15: CATALOG, Strings, Hyperbolic Functions
Browsing the TI-84 Plus CATALOG
What Is the CATALOG? The CATALOG is an alphabetical list of all functions and instructions on the TI-84 Plus. You also can access each CATALOG item from a menu or the keyboard, except: The six string functions The six hyperbolic functions The solve( instruction without the equation solver editor (Chapter 2) The inferential stat functions without the inferential stat editors (Chapter 13)

Y= functions off

Window variable values such as Xmin=L10, Xmax=10, Xscl=1, Yscl=1, and Xres=1

STAT PLOTS off

Format settings such as CoordOn (graphing coordinates on); AxesOn; and ExprOn (expression on)

rand seed value to 0

Displaying the RAM ARCHIVE ALL Menu To display the RAM ARCHIVE ALL menu on the TI-84 Plus, follow these steps. 1. Press y L to display the MEMORY menu. 2. Select 7:Reset to display the RAM ARCHIVE ALL menu.
Resetting RAM Memory Resetting all RAM restores RAM system variables to factory settings and deletes all nonsystem variables and all programs. Resetting RAM defaults restores all system variables to default settings without deleting variables and programs in RAM. Resetting all RAM or resetting defaults does not affect variables and applications in user data archive.
Note: Before you reset all RAM memory, consider restoring sufficient available memory
by deleting only selected data. To reset all RAM memory or RAM defaults on the TI-84 Plus, follow these steps.
1. From the RAM ARCHIVE ALL menu, select 1:All RAM to display the RESET RAM menu or 2:Defaults to display the RESET DEFAULTS menu.
2. If you are resetting RAM, read the message below the RESET RAM menu. To cancel the reset and return to the HOME screen, press. To erase RAM memory or reset defaults, select 2:Reset. Depending on your choice, the message RAM cleared or Defaults set is displayed on the home screen.
Resetting Archive Memory When resetting archive memory on the TI-84 Plus, you can choose to delete from user data archive all variables, all applications, or both variables and applications. To reset all or part of user data archive memory, follow these steps. 1. From the RAM ARCHIVE ALL menu, press ~ to display the ARCHIVE menu.
2. Select one of the following:
1:Vars to display the RESET ARC VARS menu.
2:Apps to display the RESET ARC APPS menu.
3:Both to display the RESET ARC BOTH menu.
3. Read the message below the menu. To cancel the reset and return to the HOME screen, press.
To continue with the reset, select 2:Reset. A message indicating the type of archive memory cleared will be displayed on the HOME screen.
Resetting All Memory When resetting all memory on the TI-84 Plus, RAM and user data archive memory is restored to factory settings. All nonsystem variables, applications, and programs are deleted. All system variables are reset to default settings. Before you reset all memory, consider restoring sufficient available memory by deleting only selected data. To reset all memory on the TI-84 Plus, follow these steps. 1. From the RAM ARCHIVE ALL menu, press ~ ~ to display the ALL menu.
2. Select 1:All Memory to display the RESET MEMORY menu.
3. Read the message below the RESET MEMORY menu. To cancel the reset and return to the HOME screen, press.
To continue with the reset, select 2:Reset. The message MEM cleared is displayed on the HOME screen.

When the message is displayed, it will indicate the largest single space of memory available for storing a variable and an application. To resolve the problem, use the GarbageCollect command to optimize memory. If memory is still insufficient, you must delete variables or applications to increase space.
Chapter 19: Communication Link
Getting Started: Sending Variables
Getting Started is a fast-paced introduction. Read the chapter for details. Create and store a variable and a matrix, and then transfer them to another TI-84 Plus. 1. On the home screen of the sending unit, press Q. Press to store 5.5 to Q. 2. Press y H y H y I y H y I y I y > 1. Press to store the matrix to [A]. 3. On the sending unit, press y L to display the MEMORY menu.
4. On the sending unit, press 2 to select 2:Mem Mgmt/Del. The MEMORY MANAGEMENT menu is displayed.
5. On the sending unit, press 5 to select 5:Matrix. The MATRIX editor screen is displayed. 6. On the sending unit, press to archive [A]. An asterisk () will appear, signifying that [A] is now archived. 7. Connect the graphing calculators with the USB unit-to-unit cable. Push both ends in firmly. 8. On the receiving unit, press y 8 ~ to display the RECEIVE menu. Press 1 to select 1:Receive. The message Waiting. is displayed and the busy indicator is on. 9. On the sending unit, press y 8 to display the SEND menu. 10. Press 2 to select 2:AllN. The AllN SELECT screen is displayed. 11. Press until the selection cursor ( 4 ) is next to [A] MATRX. Press. 12. Press until the selection cursor is next to Q REAL. Press. A square dot next to [A] and Q indicates that each is selected to send.
13. On the sending unit, press ~ to display the TRANSMIT menu. 14. On the sending unit, press 1 to select 1:Transmit and begin transmission. The receiving unit displays the message Receiving.When the items are transmitted, both units display the name and type of each transmitted variable.

TI-84 Plus LINK

This chapter describes how to communicate with compatible TI units. The TI-84 Plus has a USB port to connect and communicate with another TI-84 Plus or TI-84 Plus Silver Edition. A USB unit-to-unit cable is included with the TI-84 Plus. The TI-84 Plus also has an I/O port using a I/O unit-to-unit cable to communicate with: TI-83 Plus Silver Edition TI-83 Plus TI-83 TI-82 TI-73 CBL 2 or a CBR