Manual for the TI-83, TI-84, and TI-89 Calculators
Manual for the TI-83, TI-84, and TI-89 Calculators
to accompany
Mendenhall/Beaver/Beaver's Introduction to Probability and Statistics, 13th edition
James B. Davis
2
Contents
Chapter 1 Introduction................................................................................................ 4
Chapter 2 TI-83/84 Stat List Editor............................................................................. 6 Section 2.1 Entering and Editing Data .................................................................... 6 Section 2.2 Clearing and Deleting Lists .................................................................. 7 Section 2.3 Restoring Lists...................................................................................... 8 Section 2.4 Creating a New List .............................................................................. 9 Section 2.5 Copying a List..................................................................................... 10 Section 2.6 Sorting Data ....................................................................................... 11
Chapter 3 TI-89 Stats/List Editor.............................................................................. 13 Section 3.1 Entering and Editing Data .................................................................. 14 Section 3.2 Clearing and Deleting Lists ................................................................ 15 Section 3.3 Restoring Lists.................................................................................... 15 Section 3.4 Creating a New List ............................................................................ 16 Section 3.5 Copying a List..................................................................................... 17 Section 3.6 Sorting Data ....................................................................................... 18
Chapter 4 Describing Data with Graphs ................................................................. 21 Section 4.1 Line Charts ......................................................................................... 21 Section 4.2 Histograms Using the TI-83 and TI-84 ............................................... 26 Section 4.3 Histograms Using the TI-89 Stats/List Editor ..................................... 32
Chapter 5 Describing Data with Numerical Measures ........................................... 40 Section 5.1 1-Var Stats ......................................................................................... 40 Section 5.2 1-Var Stats with Grouped Data .......................................................... 43 Section 5.3 Box Plots ............................................................................................ 47
Chapter 6 Describing Bivariate Data ....................................................................... 52 Section 6.1 Scatterplot .......................................................................................... 52 Section 6.2 Correlation and Regression................................................................ 56
Chapter 7 Probability and Probability Distributions.............................................. 64 Section 7.1 Useful Counting Rules........................................................................ 64 Section 7.2 Probability Histograms ....................................................................... 66 Section 7.3 Probability Distributions...................................................................... 71
Chapter 8 Several Useful Discrete Distributions ................................................... 76 Section 8.1 Binomial Probability Distribution......................................................... 76 Section 8.2 Poisson Probability Distribution.......................................................... 84 Section 8.3 Hypergeometric Probability Distribution ............................................. 88
Chapter 9 The Normal Probability Distribution ...................................................... 90 Section 9.1 Normal Probability Density Function .................................................. 90 Section 9.2 Computing Probabilities ..................................................................... 92 Section 9.3 Illustrating Probabilities ...................................................................... 96 Section 9.4 Percentiles........................................................................................ 101
Chapter 10 Sampling Distributions ......................................................................... 105 Section 10.1 Random Numbers ............................................................................ 105 Section 10.2 Sampling Distributions...................................................................... 113
Chapter 11 Large-Sample Estimation ..................................................................... 116 Section 11.1 Large-Sample Confidence Interval for a Population Mean............... 116
3
Section 11.2 Section 11.3 Section 11.4
Large-Sample Confidence Interval for a Population Proportion ....... 119 Estimating the Difference between Two Population Means ............. 121 Estimating the Difference Between Two Binomial Proportion .......... 125
Chapter 12 Large-Sample Tests of Hypotheses..................................................... 128 Section 12.1 A Large-Sample Test about a Population Mean .............................. 128 Section 12.2 A Large-Sample Test of Hypothesis for the Difference between Two Population Means...................................................................................................... 131 Section 12.3 A Large-Sample Test of the Hypothesis for a Binomial Proportion .. 135 Section 12.4 A Large-Sample Test of Hypothesis for the Difference Between Two Binomial Proportion ................................................................................................... 138
Chapter 13 Inferences From Small Samples .......................................................... 141 Section 13.1 Small-Sample Inferences Concerning a Population Mean............... 141 Section 13.2 Small-Sample Inference for the Difference Between Two Population Means: Independent Random Samples .................................................................... 147 Section 13.3 Small-Sample Inference for the Difference Between Two Population Means: A Paired-Difference Test .............................................................................. 155 Section 13.4 Inferences Concerning A Population Variance................................. 158 Section 13.5 Comparing Two Population Variances ............................................. 162
Chapter 14 The Analysis of Variance ...................................................................... 168 Section 14.1 The Analysis of Variance for a Completely Randomized Design ..... 168 Section 14.2 The Analysis of Variance for a Randomized Block Design .............. 174 Section 14.3 The Analysis of Variance for an a?b Factorial Experiment .............. 179
Chapter 15 Linear Regression and Correlation...................................................... 183 Section 15.1 Inference for Simple Linear Regression and Correlation ................. 183 Section 15.2 Diagnostic Tools for Checking the Regression Assumptions........... 193
Chapter 16 Multiple Regression Analysis............................................................... 198
Chapter 17 Analysis of Categorical Data ................................................................ 204 Section 17.1 Testing Specified Cell Probabilities: The Goodness-of-Fit Test ....... 204 Section 17.2 Tests of Independence and Homogeneity........................................ 207
4
Chapter 1 Introduction
Welcome. This manual supports your use of the TI-83, TI-84, and TI-89 graphing calculators in learning statistics with Introduction to Probability and Statistics, 13th edition, by William Mendenhall, Robert J. Beaver, and Barbara M. Beaver. The TI-83 and TI-84 operate in the same way, except that the TI-84 has a bit more statistical capability. The TI-89 using the Statistics with List Editor application has more capability than the TI-83 and TI-84, especially with the advanced topics. The TI-89 has much in common with the TI-83 and TI-84, but does operate differently. For the TI-89, it may be necessary to download the Statistics with List Editor application from the Texas Instrument site: education.. The TI-84 used for this manual has the TI-84 Plus family Operating System v 2.41. It can be downloaded from education.. Also, if you have not already done so, you may want to download one or more of the guide books: z TI-83 Graphing Calculator Guidebook z TI-83 Plus / TI-83 Silver Edition Guidebook z TI-84 Plus / TI-84 Plus Silver Edition Guidebook z TI-89 / TI-92 Plus Guidebook z TI-89 Titanium Graphing Calculator Guidebook z Statistics With List Editor Guidebook For TI-89 / TI-92 Plus / Voyage 200
TI-83/84
When graphing with the TI-83 and TI-84, it is important that plots, functions, and drawings that are not meant to be graphed be turned off or cleared. 1) All the plots, except the one to be used, should be Off.
a) To turn off all the plots:
i) Go the STAT PLOTS menu by pressing 2ND [STAT PLOT] .
ii) Select 4:PlotsOff. Press ENTER .
iii) With PlotsOff in the home screen, press ENTER . The calculator responds with Done.
b) Return to the STAT PLOTS menu to turn on a stat plot if one is being used. 2) The Y= Editor should be cleared of all unused functions and extraneous symbols.
i) To go to the Y= Editor, press Y = .
ii) To clear a function, move the cursor to that function and press CLEAR .
3) Drawings may need to be cleared.
5
a) Press 2ND [DRAW ] .
b) In the DRAW menu, the selection is 1:ClrDraw. Press ENTER .
c) With ClrDraw in the home screen, press ENTER The calculator responds with Done.
TI-89
The TI-89 Statistics with List Editor application used for this manual has output variables pasted to end of the list editor when appropriate. To check this: 1) Press F1 Tools.
2) Move the cursor to 9:Format. Press ENTER . 3) In the FORMATS window, Yes should be selected at Results?Editor. 4) Press ENTER . When graphing with the TI-89, it is important that plots and functions that are not meant to be graphed be turned off. 1) To turn off all the plots in the Plot Setup window:
a) Press F2 Plots in the Statistics with List Editor application.
b) Move the cursor to 3: PlotsOff. Press ENTER . This clears the plot checks in the Plot Setup window.
2) To uncheck all the functions in the Y= editor: a) Press F2 Plots.
b) Move the cursor to 4: FnOff. Press ENTER . This clears the function checks in the Y= editor.
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