Introduction to Applied Statistics: Lecture Notes

Chapter 1 - Introduction to Statistics

• Definitions
• Notes
• Generating Random Numbers on the TI-82

Chapter 2 - Describing, Exploring, and Comparing Data

• Definitions
• Grouped Frequency Distributions
• Introduction to Statistics and Lists on the TI-82
• Creating Histograms, Box Plots, and Grouped Frequency Distributions on the TI-82
• Creating an Ogive on the TI-82
• Creating Pie Charts on the TI-82
• Measures of Central Tendency (Averages)
• Measures of Variation
• Measures of Position
• Using the TI-82 to find all kinds of 1-Variable Statistics

Chapter 3 - Probability

• Definitions
• Introduction to Probability
• Addition and Multiplication Rules
• Conditional Probability
• Counting Principles

Chapter 4 - Probability Distributions

• Definitions
• Probability Distributions
• Binomial Probabilities
• Other Distributions: Multinomial, Poisson, HyperGeometric

Chapter 5 - Normal Probability Distributions

• Definitions
• Introduction to Normal Probabilities
• Table - Standard Normal Probabilities
• Checking Normality on the TI-82
• Central Limit Theorem
• Approximating the Binomial with the Normal
• How Important is the Normal Distribution?

Chapter 6 - Estimates and Sample Sizes

• Definitions
• Introduction to Estimation
• Estimating the Population Mean
• Table - Student's T Probabilities
• Estimating the Population Proportion
• Sample Size Determination

Chapter 7 - Hypothesis Testing

• Definitions
• Foundation of Hypothesis Testing
• Understanding the Type of Test
• Steps to Hypothesis Testing
• Probability Values
• Using a Confidence Interval to Test a Claim
• Testing a single mean
• Example of testing a single mean: Does pi = 3.2?
• Testing a single proportion
• The chi-square distribution
• Table - Chi-Square Probabilities
• Testing a single variance

Chapter 8 - Inferences from Two Samples

• Definitions

• Testing Two Means, Dependent Case: The Mean of the Differences
• Testing Two Variances
• Testing Two Means, Independent Case: The Difference of the Means
• Testing Two Proportions

Chapter 9 - Correlation and Regression

• Definitions
• Creating Scatter Plots and Regression Lines on the TI82
• Correlation
• Finding the Correlation Coefficient and Regression Equation on the TI82
• Regression
• Coefficient of Determination

Chapter 10 - Multinomial Experiments and Contingency Tables

• Definitions
• Chi-square Goodness of Fit Test
• Performing a Goodness of Fit Test on the TI82
• Test for Independence
• Performing a Test for Independence on the TI82

Chapter 11 - Analysis of Variance

• Definitions
• One-Way Analysis of Variance
• Performing a One-Way ANOVA on the TI82
• Where do the Differences Lie if the Means Aren't Equal?
• Two-Way Analysis of Variance
• Performing a Two-Way ANOVA on the TI82