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Appendix G NOTEs for the TI-83, 83+, 84, 84+ Calculators

Appendix G NOTEs for the TI-83, 83+, 84, 84+ Calculators

Quick Tips

Legend

  • A blank calculator button represents a button press
  • [ ] represents yellow command or green letter behind a key
  • < > represents items on the screen

To adjust the contrastPress A yellow rectangular button or label with slightly rounded corners features the white, glowing text '2nd' prominently displayed in the center, giving it a bright and clear appearance. , then hold arrow up to increase the contrast or A blue button with a white downward-pointing triangle, commonly used in user interfaces for dropdown menus or to expand/collapse content. to decrease the contrast.

To capitalize letters and wordsPress A rectangular green button features the word 'ALPHA' in prominent white capital letters, with a subtle shadow suggesting depth. to get one capital letter, or press A yellow rectangular button or label with slightly rounded corners features the white, glowing text '2nd' prominently displayed in the center, giving it a bright and clear appearance. , then A rectangular green button features the word 'ALPHA' in prominent white capital letters, with a subtle shadow suggesting depth. to set all button presses to capital letters. You can return to the top-level button values by pressing A rectangular green button features the word 'ALPHA' in prominent white capital letters, with a subtle shadow suggesting depth. again.

To correct a mistakeIf you hit a wrong button, just hit A dark gray, rectangular button with rounded corners features the word 'CLEAR' in all caps, rendered in a light gray, almost white, color with a subtle gradient and a raised, slightly glowing effect, on a darker gray background. and start again.

To write in scientific notationNumbers in scientific notation are expressed on the TI-83, 83+, 84, and 84+ using E notation, such that...

  • 4.321 E 4 = 4.321× 10 4 4.321× 10 4
  • 4.321 E –4 = 4.321× 10 –4 4.321× 10 –4

To transfer programs or equations from one calculator to another:Both calculators: Insert your respective end of the link cable cable and press A yellow rectangular button or label with slightly rounded corners features the white, glowing text '2nd' prominently displayed in the center, giving it a bright and clear appearance. , then [LINK].

Calculator receiving information:

  1. Use the arrows to navigate to and select <RECEIVE>
  2. Press A blue, glowing button with rounded corners prominently displays the word 'ENTER' in white, capitalized letters, suggesting an action or gateway. .

Calculator sending information:

  1. Press appropriate number or letter.
  2. Use up and down arrows to access the appropriate item.
  3. Press A blue, glowing button with rounded corners prominently displays the word 'ENTER' in white, capitalized letters, suggesting an action or gateway. to select item to transfer.
  4. Press right arrow to navigate to and select <TRANSMIT>.
  5. Press A blue, glowing button with rounded corners prominently displays the word 'ENTER' in white, capitalized letters, suggesting an action or gateway. .

NOTE

ERROR 35 LINK generally means that the cables have not been inserted far enough.

Both calculators: Insert your respective end of the link cable cable Both calculators: press A yellow rectangular button or label with slightly rounded corners features the white, glowing text '2nd' prominently displayed in the center, giving it a bright and clear appearance. , then [QUIT] to exit when done.

Manipulating One-Variable Statistics

NOTE

These directions are for entering data with the built-in statistical program.

Data Frequency
–2 10
–1 3
0 4
1 5
3 8
Table G1 Sample Data We are manipulating one-variable statistics.

To begin:

  1. Turn on the calculator.
     on key

  2. Access statistics mode.
     A dark gray, rounded rectangular button features the word 'STAT' in prominent, glowing white capital letters.

  3. Select <4:ClrList> to clear data from lists, if desired.
    A grey rectangular button displays the number 4. , A blue, glowing button with rounded corners prominently displays the word 'ENTER' in white, capitalized letters, suggesting an action or gateway.

  4. Enter list [L1] to be cleared.
     A yellow rectangular button or label with slightly rounded corners features the white, glowing text '2nd' prominently displayed in the center, giving it a bright and clear appearance. , [L1] , A blue, glowing button with rounded corners prominently displays the word 'ENTER' in white, capitalized letters, suggesting an action or gateway.

  5. Display last instruction.
     A yellow rectangular button or label with slightly rounded corners features the white, glowing text '2nd' prominently displayed in the center, giving it a bright and clear appearance. , [ENTRY]

  6. Continue clearing remaining lists in the same fashion, if desired.
     arrow left key , A yellow rectangular button or label with slightly rounded corners features the white, glowing text '2nd' prominently displayed in the center, giving it a bright and clear appearance. , [L2] , A blue, glowing button with rounded corners prominently displays the word 'ENTER' in white, capitalized letters, suggesting an action or gateway.

  7. Access statistics mode.
     A dark gray, rounded rectangular button features the word 'STAT' in prominent, glowing white capital letters.

  8. Select <1:Edit . . .>
     A blue, glowing button with rounded corners prominently displays the word 'ENTER' in white, capitalized letters, suggesting an action or gateway.

  9. Enter data. Data values go into [L1]. (You may need to arrow over to [L1]).

    • Type in a data value and enter it. (For negative numbers, use the negate (-) key at the bottom of the keypad).
       A gray button or icon featuring a dark gray minus sign enclosed in parentheses, commonly used for collapse, minimize, or subtract functions in user interfaces. , A light gray rectangular button or badge displays the number 9 in a slightly darker gray shade, centered on its surface. The button has rounded corners and a subtle shadow at the bottom, giving it a 3D effect. , A blue, glowing button with rounded corners prominently displays the word 'ENTER' in white, capitalized letters, suggesting an action or gateway.

    • Continue in the same manner until all data values are entered.

  10. In [L2], enter the frequencies for each data value in [L1].

    • Type in a frequency and enter it. (If a data value appears only once, the frequency is "1").
       A grey rectangular button displays the number 4. , A blue, glowing button with rounded corners prominently displays the word 'ENTER' in white, capitalized letters, suggesting an action or gateway.

    • Continue in the same manner until all data values are entered.

  11. Access statistics mode.
     A dark gray, rounded rectangular button features the word 'STAT' in prominent, glowing white capital letters.

  12. Navigate to <CALC>.

  13. Access <1:1-var Stats>.
     A blue, glowing button with rounded corners prominently displays the word 'ENTER' in white, capitalized letters, suggesting an action or gateway.

  14. Indicate that the data is in [L1]...
     A yellow rectangular button or label with slightly rounded corners features the white, glowing text '2nd' prominently displayed in the center, giving it a bright and clear appearance. , [L1] , comma key

  15. ...and indicate that the frequencies are in [L2].
     A yellow rectangular button or label with slightly rounded corners features the white, glowing text '2nd' prominently displayed in the center, giving it a bright and clear appearance. , [L2] , A blue, glowing button with rounded corners prominently displays the word 'ENTER' in white, capitalized letters, suggesting an action or gateway.

  16. The statistics should be displayed. You may arrow down to get remaining statistics. Repeat as necessary.

Drawing Histograms

NOTE

We will assume that the data is already entered.

We will construct two histograms with the built-in STATPLOT application. The first way will use the default ZOOM. The second way will involve customizing a new graph.

  1. Access graphing mode.
     A yellow rectangular button or label with slightly rounded corners features the white, glowing text '2nd' prominently displayed in the center, giving it a bright and clear appearance. , [STAT PLOT]

  2. Select <1:plot 1> to access plotting - first graph.
     A blue, glowing button with rounded corners prominently displays the word 'ENTER' in white, capitalized letters, suggesting an action or gateway.

  3. Use the arrows navigate go to <ON> to turn on Plot 1.
     <ON> , A blue, glowing button with rounded corners prominently displays the word 'ENTER' in white, capitalized letters, suggesting an action or gateway.

  4. Use the arrows to go to the histogram picture and select the histogram. A blue, glowing button with rounded corners prominently displays the word 'ENTER' in white, capitalized letters, suggesting an action or gateway.
  5. Use the arrows to navigate to <Xlist>.

  6. If "L1" is not selected, select it.
     A yellow rectangular button or label with slightly rounded corners features the white, glowing text '2nd' prominently displayed in the center, giving it a bright and clear appearance. , [L1] , A blue, glowing button with rounded corners prominently displays the word 'ENTER' in white, capitalized letters, suggesting an action or gateway.

  7. Use the arrows to navigate to <Freq>.

  8. Assign the frequencies to [L2].
     A yellow rectangular button or label with slightly rounded corners features the white, glowing text '2nd' prominently displayed in the center, giving it a bright and clear appearance. , [L2] , A blue, glowing button with rounded corners prominently displays the word 'ENTER' in white, capitalized letters, suggesting an action or gateway.

  9. Go back to access other graphs.
     A yellow rectangular button or label with slightly rounded corners features the white, glowing text '2nd' prominently displayed in the center, giving it a bright and clear appearance. , [STAT PLOT]

  10. Use the arrows to turn off the remaining plots.
  11. Be sure to deselect or clear all equations before graphing.

To deselect equations:

  1. Access the list of equations.
     A blue rectangular button or banner with a subtle gradient and a darker bottom edge. The white, glowing text 'Y=' is centrally displayed, suggesting a mathematical or functional input.

  2. Select each equal sign (=).
     A blue button with a white downward-pointing triangle, commonly used in user interfaces for dropdown menus or to expand/collapse content. A blue play button icon is centered against a slightly blurry blue rectangular background, indicating a media playback function. A blue, glowing button with rounded corners prominently displays the word 'ENTER' in white, capitalized letters, suggesting an action or gateway.

  3. Continue, until all equations are deselected.

To clear equations:

  1. Access the list of equations.
     A blue rectangular button or banner with a subtle gradient and a darker bottom edge. The white, glowing text 'Y=' is centrally displayed, suggesting a mathematical or functional input.

  2. Use the arrow keys to navigate to the right of each equal sign (=) and clear them.
     A blue button with a white downward-pointing triangle, commonly used in user interfaces for dropdown menus or to expand/collapse content. A blue play button icon is centered against a slightly blurry blue rectangular background, indicating a media playback function. A dark gray, rectangular button with rounded corners features the word 'CLEAR' in all caps, rendered in a light gray, almost white, color with a subtle gradient and a raised, slightly glowing effect, on a darker gray background.

  3. Repeat until all equations are deleted.

To draw default histogram:

  1. Access the ZOOM menu.
     A blue, rectangular button with rounded corners features the word 'ZOOM' in white, stylized, slightly blurry capital letters, giving it a somewhat digital or glassy appearance.

  2. Select <9:ZoomStat>.
     A light gray rectangular button or badge displays the number 9 in a slightly darker gray shade, centered on its surface. The button has rounded corners and a subtle shadow at the bottom, giving it a 3D effect.

  3. The histogram will show with a window automatically set.

To draw custom histogram:

  1. Access window mode to set the graph parameters.
     A blue, rounded rectangular button with the word 'WINDOW' in white, glowing letters.
    • X min =–2.5 X min =–2.5
    • X max =3.5 X max =3.5
    • X scl =1 X scl =1 (width of bars)
    • Y min =0 Y min =0
    • Y max =10 Y max =10
    • Y scl =1 Y scl =1 (spacing of tick marks on y-axis)
    • X res =1 X res =1
  3. Access graphing mode to see the histogram.
     A blue, rounded rectangular button with the word 'GRAPH' in glowing white capital letters is prominently displayed against a darker background, suggesting a clickable element for data visualization.

To draw box plots:

  1. Access graphing mode.
     A yellow rectangular button or label with slightly rounded corners features the white, glowing text '2nd' prominently displayed in the center, giving it a bright and clear appearance. , [STAT PLOT]

  2. Select <1:Plot 1> to access the first graph.
     A blue, glowing button with rounded corners prominently displays the word 'ENTER' in white, capitalized letters, suggesting an action or gateway.

  3. Use the arrows to select <ON> and turn on Plot 1.
     A blue, glowing button with rounded corners prominently displays the word 'ENTER' in white, capitalized letters, suggesting an action or gateway.

  4. Use the arrows to select the box plot picture and enable it.
     A blue, glowing button with rounded corners prominently displays the word 'ENTER' in white, capitalized letters, suggesting an action or gateway.

  5. Use the arrows to navigate to <Xlist>.

  6. If "L1" is not selected, select it.
     A yellow rectangular button or label with slightly rounded corners features the white, glowing text '2nd' prominently displayed in the center, giving it a bright and clear appearance. , [L1] , A blue, glowing button with rounded corners prominently displays the word 'ENTER' in white, capitalized letters, suggesting an action or gateway.

  7. Use the arrows to navigate to <Freq>.

  8. Indicate that the frequencies are in [L2].
     A yellow rectangular button or label with slightly rounded corners features the white, glowing text '2nd' prominently displayed in the center, giving it a bright and clear appearance. , [L2] , A blue, glowing button with rounded corners prominently displays the word 'ENTER' in white, capitalized letters, suggesting an action or gateway.

  9. Go back to access other graphs.
     A yellow rectangular button or label with slightly rounded corners features the white, glowing text '2nd' prominently displayed in the center, giving it a bright and clear appearance. , [STAT PLOT]

  10. Be sure to deselect or clear all equations before graphing using the method mentioned above.

  11. View the box plot.
     A blue, rounded rectangular button with the word 'GRAPH' in glowing white capital letters is prominently displayed against a darker background, suggesting a clickable element for data visualization. , [STAT PLOT]

Linear Regression

Sample Data

The following data is real. The percent of declared ethnic minority students at De Anza College for selected years from 1970–1995 was:

Year Student Ethnic Minority Percentage
1970 14.13
1973 12.27
1976 14.08
1979 18.16
1982 27.64
1983 28.72
1986 31.86
1989 33.14
1992 45.37
1995 53.1
Table G2 The independent variable is "Year," while the independent variable is "Student Ethnic Minority Percent."
This is a scatterplot for the data provided. Year is plotted on the horizontal axis and percent is plotted on the vertical axis. The points show a strong, curved, upward trend.
Figure G1 Student Ethnic Minority Percentage By hand, verify the scatterplot above.

NOTE

The TI-83 has a built-in linear regression feature, which allows the data to be edited.The x-values will be in [L1]; the y-values in [L2].

To enter data and do linear regression:

  1. ON Turns calculator on.
     on key

  2. Before accessing this program, be sure to turn off all plots.

    • Access graphing mode.
       A yellow rectangular button or label with slightly rounded corners features the white, glowing text '2nd' prominently displayed in the center, giving it a bright and clear appearance. , [STAT PLOT]

    • Turn off all plots.
       A grey rectangular button displays the number 4. , A blue, glowing button with rounded corners prominently displays the word 'ENTER' in white, capitalized letters, suggesting an action or gateway.

  3. Round to three decimal places. To do so:

    • Access the mode menu.
       A dark gray, rounded rectangular button or label with a white, glossy, all-caps text that reads 'MODE' in the center. The text has a slight blur or glow effect, making it stand out against the darker background. , [STAT PLOT]

    • Navigate to <Float> and then to the right to <3>.
       A blue button with a white downward-pointing triangle, commonly used in user interfaces for dropdown menus or to expand/collapse content. A blue play button icon is centered against a slightly blurry blue rectangular background, indicating a media playback function.

    • All numbers will be rounded to three decimal places until changed.
       A blue, glowing button with rounded corners prominently displays the word 'ENTER' in white, capitalized letters, suggesting an action or gateway.

  4. Enter statistics mode and clear lists [L1] and [L2], as describe previously.
     A dark gray, rounded rectangular button features the word 'STAT' in prominent, glowing white capital letters. , A grey rectangular button displays the number 4.

  5. Enter editing mode to insert values for x and y.
     A dark gray, rounded rectangular button features the word 'STAT' in prominent, glowing white capital letters. , A blue, glowing button with rounded corners prominently displays the word 'ENTER' in white, capitalized letters, suggesting an action or gateway.

  6. Enter each value. Press A blue, glowing button with rounded corners prominently displays the word 'ENTER' in white, capitalized letters, suggesting an action or gateway. to continue.

To display the correlation coefficient:

  1. Access the catalog.
     A yellow rectangular button or label with slightly rounded corners features the white, glowing text '2nd' prominently displayed in the center, giving it a bright and clear appearance. , [CATALOG]

  2. Arrow down and select <DiagnosticOn>
     A blue button with a white downward-pointing triangle, commonly used in user interfaces for dropdown menus or to expand/collapse content. ... , A blue, glowing button with rounded corners prominently displays the word 'ENTER' in white, capitalized letters, suggesting an action or gateway. , A blue, glowing button with rounded corners prominently displays the word 'ENTER' in white, capitalized letters, suggesting an action or gateway.

  3. r r and r 2 r 2 will be displayed during regression calculations.

  4. Access linear regression.
     A dark gray, rounded rectangular button features the word 'STAT' in prominent, glowing white capital letters. A blue play button icon is centered against a slightly blurry blue rectangular background, indicating a media playback function.

  5. Select the form of y = a + bx.
     A light grey rectangular button or tab with the dark grey numeral '8' centered on it. The button has slightly rounded corners and a subtle shadow underneath. , A blue, glowing button with rounded corners prominently displays the word 'ENTER' in white, capitalized letters, suggesting an action or gateway.


The display will show:

LinReg

  • y = a + bx
  • a = –3176.909
  • b = 1.617
  • r = 2 0.924
  • r = 0.961


This means the Line of Best Fit (Least Squares Line) is:

  • y = –3176.909 + 1.617x
  • Percent = –3176.909 + 1.617 (year #)

The correlation coefficient r = 0.961

To see the scatter plot:

  1. Access graphing mode.
     A yellow rectangular button or label with slightly rounded corners features the white, glowing text '2nd' prominently displayed in the center, giving it a bright and clear appearance. , [STAT PLOT]

  2. Select <1:plot 1> To access plotting - first graph.
     A blue, glowing button with rounded corners prominently displays the word 'ENTER' in white, capitalized letters, suggesting an action or gateway.

  3. Navigate and select <ON> to turn on Plot 1.
     <ON> A blue, glowing button with rounded corners prominently displays the word 'ENTER' in white, capitalized letters, suggesting an action or gateway.

  4. Navigate to the first picture.

  5. Select the scatter plot.
     A blue, glowing button with rounded corners prominently displays the word 'ENTER' in white, capitalized letters, suggesting an action or gateway.

  6. Navigate to <Xlist>.
  7. If [L1] is not selected, press A yellow rectangular button or label with slightly rounded corners features the white, glowing text '2nd' prominently displayed in the center, giving it a bright and clear appearance. , [L1] to select it.

  8. Confirm that the data values are in [L1].
     <ON> A blue, glowing button with rounded corners prominently displays the word 'ENTER' in white, capitalized letters, suggesting an action or gateway.

  9. Navigate to <Ylist>.

  10. Select that the frequencies are in [L2].
     A yellow rectangular button or label with slightly rounded corners features the white, glowing text '2nd' prominently displayed in the center, giving it a bright and clear appearance. , [L2] , A blue, glowing button with rounded corners prominently displays the word 'ENTER' in white, capitalized letters, suggesting an action or gateway.

  11. Go back to access other graphs.
     A yellow rectangular button or label with slightly rounded corners features the white, glowing text '2nd' prominently displayed in the center, giving it a bright and clear appearance. , [STAT PLOT]

  12. Use the arrows to turn off the remaining plots.
  13. Access window mode to set the graph parameters.
     A blue, rounded rectangular button with the word 'WINDOW' in white, glowing letters.
    • X min =1970 X min =1970
    • X max =2000 X max =2000
    • X scl =10 X scl =10 (spacing of tick marks on x-axis)
    • Y min =−0.05 Y min =−0.05
    • Y max =60 Y max =60
    • Y scl =10 Y scl =10 (spacing of tick marks on y-axis)
    • X res =1 X res =1
  14. Be sure to deselect or clear all equations before graphing, using the instructions above.
  15. Press the graph button to see the scatter plot. A blue, rounded rectangular button with the word 'GRAPH' in glowing white capital letters is prominently displayed against a darker background, suggesting a clickable element for data visualization.

To see the regression graph:

  1. Access the equation menu. The regression equation will be put into Y1.
     A blue rectangular button or banner with a subtle gradient and a darker bottom edge. The white, glowing text 'Y=' is centrally displayed, suggesting a mathematical or functional input.

  2. Access the vars menu and navigate to <5: Statistics>.
     vars key , A grey rectangular banner or button displays the number '5' in dark grey text, set against a light grey background with a subtle shadow effect, indicating a numerical value or selection.

  3. Navigate to <EQ>.

  4. <1: RegEQ> contains the regression equation which will be entered in Y1.
     A blue, glowing button with rounded corners prominently displays the word 'ENTER' in white, capitalized letters, suggesting an action or gateway.

  5. Press the graphing mode button. The regression line will be superimposed over the scatter plot.
     A blue, rounded rectangular button with the word 'GRAPH' in glowing white capital letters is prominently displayed against a darker background, suggesting a clickable element for data visualization.

To see the residuals and use them to calculate the critical point for an outlier:

  1. Access the list. RESID will be an item on the menu. Navigate to it.
     A yellow rectangular button or label with slightly rounded corners features the white, glowing text '2nd' prominently displayed in the center, giving it a bright and clear appearance. , [LIST], <RESID>

  2. Confirm twice to view the list of residuals. Use the arrows to select them.
     A blue, glowing button with rounded corners prominently displays the word 'ENTER' in white, capitalized letters, suggesting an action or gateway. , A blue, glowing button with rounded corners prominently displays the word 'ENTER' in white, capitalized letters, suggesting an action or gateway.

  3. The critical point for an outlier is: 1.9VSSEn-21.9VSSEn-2 where:
    • n n = number of pairs of data
    • SSE SSE = sum of the squared errors
    • Σresidual2Σresidual2

  4. Store the residuals in [L3].
     A dark gray, rounded rectangular button with the white text 'STOP' on the left and a white right-pointing triangle (play/fast-forward icon) on the right. , A yellow rectangular button or label with slightly rounded corners features the white, glowing text '2nd' prominently displayed in the center, giving it a bright and clear appearance. , [L3] , A blue, glowing button with rounded corners prominently displays the word 'ENTER' in white, capitalized letters, suggesting an action or gateway.

  5. Calculate the Σresidual2n-2Σresidual2n-2. Note that n-2=8n-2=8
    A yellow rectangular button or label with slightly rounded corners features the white, glowing text '2nd' prominently displayed in the center, giving it a bright and clear appearance. , [L3] , x-squared key , A blue, rounded rectangular button featuring a white division symbol (÷) in the center, casting a subtle shadow below. , A light grey rectangular button or tab with the dark grey numeral '8' centered on it. The button has slightly rounded corners and a subtle shadow underneath.

  6. Store this value in [L4].
     A dark gray, rounded rectangular button with the white text 'STOP' on the left and a white right-pointing triangle (play/fast-forward icon) on the right. , A yellow rectangular button or label with slightly rounded corners features the white, glowing text '2nd' prominently displayed in the center, giving it a bright and clear appearance. , [L4] , A blue, glowing button with rounded corners prominently displays the word 'ENTER' in white, capitalized letters, suggesting an action or gateway.

  7. Calculate the critical value using the equation above.
     number 1 key , A minimalist, light grey rounded rectangle features a solitary, tiny black square positioned precisely in its center. The simple graphic suggests a focus point or a very small indicator. , A light gray rectangular button or badge displays the number 9 in a slightly darker gray shade, centered on its surface. The button has rounded corners and a subtle shadow at the bottom, giving it a 3D effect. , A rectangular blue button with rounded corners features a prominent white 'X' symbol, suggesting a close, cancel, or delete function on a user interface. , A yellow rectangular button or label with slightly rounded corners features the white, glowing text '2nd' prominently displayed in the center, giving it a bright and clear appearance. , [V] , A yellow rectangular button or label with slightly rounded corners features the white, glowing text '2nd' prominently displayed in the center, giving it a bright and clear appearance. , [LIST] A blue play button icon is centered against a slightly blurry blue rectangular background, indicating a media playback function. , A blue play button icon is centered against a slightly blurry blue rectangular background, indicating a media playback function. , A grey rectangular banner or button displays the number '5' in dark grey text, set against a light grey background with a subtle shadow effect, indicating a numerical value or selection. , A yellow rectangular button or label with slightly rounded corners features the white, glowing text '2nd' prominently displayed in the center, giving it a bright and clear appearance. , [L4] , closing parenthesis key , closing parenthesis key , A blue, glowing button with rounded corners prominently displays the word 'ENTER' in white, capitalized letters, suggesting an action or gateway.

  8. Verify that the calculator displays: 7.642669563. This is the critical value.
  9. Compare the absolute value of each residual value in [L3] to 7.64. If the absolute value is greater than 7.64, then the (x, y) corresponding point is an outlier. In this case, none of the points is an outlier.

To obtain estimates of y for various x-values:There are various ways to determine estimates for "y." One way is to substitute values for "x" in the equation. Another way is to use the A blue, rectangular button with rounded corners, featuring the word 'TRACE' in white, glowing capital letters with a slight blur effect. on the graph of the regression line.

TI-83, 83+, 84, 84+ instructions for distributions and tests

Distributions

Access DISTR (for "Distributions").

For technical assistance, visit the Texas Instruments website at http://www.ti.com and enter your calculator model into the "search" box.

Binomial Distribution

  • binompdf(n,p,x) corresponds to P(X = x)
  • binomcdf(n,p,x) corresponds to P(X ≤ x)
  • To see a list of all probabilities for x: 0, 1, . . . , n, leave off the "x" parameter.

Poisson Distribution

  • poissonpdf(λ,x) corresponds to P(X = x)
  • poissoncdf(λ,x) corresponds to P(X ≤ x)

Continuous Distributions (general)

  • −∞ −∞ uses the value –1EE99 for left bound
  • ∞ ∞ uses the value 1EE99 for right bound

Normal Distribution

  • normalpdf(x,μ,σ) yields a probability density function value (only useful to plot the normal curve, in which case "x" is the variable)
  • normalcdf(left bound, right bound, μ, σ) corresponds to P(left bound < X < right bound)
  • normalcdf(left bound, right bound) corresponds to P(left bound < Z < right bound) – standard normal
  • invNorm(p,μ,σ) yields the critical value, k: P(X < k) = p
  • invNorm(p) yields the critical value, k: P(Z < k) = p for the standard normal

Student's t-Distribution

  • tpdf(x,df) yields the probability density function value (only useful to plot the student-t curve, in which case "x" is the variable)
  • tcdf(left bound, right bound, df) corresponds to P(left bound < t < right bound)

Chi-square Distribution

  • Χ2pdf(x,df) yields the probability density function value (only useful to plot the chi2 curve, in which case "x" is the variable)
  • Χ2cdf(left bound, right bound, df) corresponds to P(left bound < Χ2 < right bound)

F Distribution

  • Fpdf(x,dfnum,dfdenom) yields the probability density function value (only useful to plot the F curve, in which case "x" is the variable)
  • Fcdf(left bound,right bound,dfnum,dfdenom) corresponds to P(left bound < F < right bound)

Tests and Confidence Intervals

Access STAT and TESTS.

For the confidence intervals and hypothesis tests, you may enter the data into the appropriate lists and press DATA to have the calculator find the sample means and standard deviations. Or, you may enter the sample means and sample standard deviations directly by pressing STAT once in the appropriate tests.

Confidence Intervals

  • ZInterval is the confidence interval for mean when σ is known.
  • TInterval is the confidence interval for mean when σ is unknown; s estimates σ.
  • 1-PropZInt is the confidence interval for proportion.

NOTE

The confidence levels should be given as percents (ex. enter "95" or ".95" for a 95% confidence level).

Hypothesis Tests

  • Z-Test is the hypothesis test for single mean when σ is known.
  • T-Test is the hypothesis test for single mean when σ is unknown; s estimates σ.
  • 2-SampZTest is the hypothesis test for two independent means when both σ's are known.
  • 2-SampTTest is the hypothesis test for two independent means when both σ's are unknown.
  • 1-PropZTest is the hypothesis test for single proportion.
  • 2-PropZTest is the hypothesis test for two proportions.
  • Χ2-Test is the hypothesis test for independence.
  • Χ2GOF-Test is the hypothesis test for goodness-of-fit (TI-84+ only).
  • LinRegTTEST is the hypothesis test for Linear Regression (TI-84+ only).

NOTE

Input the null hypothesis value in the row below "Inpt." For a test of a single mean, "μ∅" represents the null hypothesis. For a test of a single proportion, "p∅" represents the null hypothesis. Enter the alternate hypothesis on the bottom row.