Table of Contents
Introduction to Statistics (and TI Calculators) 1
Key Differences between calculator models 1
Keyboard and Notation 2
Setting the Correct Mode 3
Screen Contrast Adjustment and Battery Check 4
A Special Word about the TI-89 Titanium 4
Random Samples 5
Home Screen Calculations and Storing Results 7
Storing Lists of Data 9
Deleting Lists 13
What Can Go Wrong? 15
Summarizing and Graphing Data 16
Creating a Histogram - TI-83/84 16
Creating a Histogram - TI-89 18
Changing the Number of Bars 19
Histograms for Tabulated Data 20
Frequency Polygons 21
Dotplots and Stemplots 22
Pareto Charts 23
Pie Charts 23
Time Series Graphs 24
What Can Go Wrong? 24
Statistics for Describing, Exploring and Comparing Data 26
Measures of Center 26
Measures of Variation 28
Measures of Relative Standing 30
Boxplots and Five-Number Summary 31
What Can Go Wrong? 32
Probability 33
Two Useful Functions 33
Probabilities Through Simulation 34
Counting 37
What Can Go Wrong? 38
Probability Distributions 39
Probability Distributions by Tables 39
Binomial Distribution 41
Poisson Distribution 43
What Can Go Wrong? 44
Normal Probability Distributions 45
Finding Probabilities for a Normal Random Variable 45
Sketching Normal Areas 47
Finding Values of a Normal R. V. (Inverse Normal Problems) 47
Central Limit Theorem 49
Normal Approximation of a Binomial Distribution 50
Normal Quantile Plots 51
Generating Random Values from a Normal Distribution 52
What Can Go Wrong? 53
Estimates and Sample Sizes 54
Estimating a Population Proportion 54
Estimating a Population Mean: [Sigma] Known 56
Estimating a Population Mean: [Sigma] Not Known 58
Estimating a Population Variance 60
What Can Go Wrong? 61
Hypothesis Testing 62
Testing a Claim about a Proportion 62
Testing a Claim about a Mean: [Sigma] Known 64
Testing a Claim about a Mean: [Sigma] Not Known 65
Testing a Claim about a Standard Deviation or Variance 66
What Can Go Wrong? 67
Inferences from Two Samples 68
Inferences about Two Proportions 68
Inferences about Two Means: Independent Samples 69
Inferences about Two Means: Matches Pairs 72
Comparing Variances in Two Samples 73
What Can Go Wrong? 74
Correlation and Regression 75
Simple Linear Regression and Correlation 75
Multiple Regression 79
Multinomial Experiments and Contingency Tables 84
Multinomial Experiments: Goodness-of-Fit 84
Contingency Tables 86
What Can Go Wrong? 89
Analysis of Variance 90
One-Way ANOVA 90
One-Way ANOVA 91
Graphing a Means Plot 93
Nonparametric Statistics 95
Sign Test 95
Wilcoxon Signed-Ranks Test for Matched Pairs 97
Wilcoxon Rank-Sum Test for Two Samples 99
Kruskal-Wallis Test 100
Rank Correlation 101
Runs Test for Randomness 102
Statistical Process Control 103
Run Charts 103
Monitoring Variation: the R Chart 104
Monitoring Process Mean: the X Chart 104
Attributes: the P Chart 105
Appendix 106
Loading Data or Programs - TI-83/84 106
Using the Data Apps - TI-83/84 107
Grouping and Ungrouping - TI-83/84 108
Using .txt files 109
Index 110