AP Statistics

I love stats... it's the best course!!

AP Stats Chapter 1:

• Preface-What is Statistics and defining New Terms?

• Unit 1.1 Understanding Data with BoxPlots

• Unit 1.2 Normal Distribution and Relative Standing

• Ch1 Practice Test

• Pre-Chapter Review

• Chapter 1 Review

PPT

• 1.1
• 1.2

Box Plots, Normal Distributions, and Basic Terminology

In this Unit, students will learn to:

• Understand the meaning of Quantitative vs Categorical Variables
• Represent Data of a Univariate Variable using Boxplots Make and Identifying Outliers
• Analyzing Distributions of Boxplots with Measures of Central Tendencies: Min, Max, Q1, Q3, Median, IQR, and Range
• Understand how Mean and Standard Deviations are used to describe distributions that are normally distributed

AP Statistics Chapter 2:

• Unit 2.1 Finding Z-Scores and RElative Standing with Normal Distributions
• HW 2.1 and SOL
• Unit 2.2 Calculating Probabilities with Normal Distributions
• HW 2.2 and SOL
• Chapter 2 Review

PPT

• 2.1
• 2.2

Normal Distributions and Z-scores

In this Unit, students will learn to:

• Compute the measures of relative standning of individuals in a normal distribution
• Use Z-scores and percentiles to calculate probabilities with Normal Distributions
• Apply the Empirical rule of 68-95-99.7 for problems that involves normal distributions
• Use the normalcdf function on your calculator to calculate probabilities

AP Statistics Chapter 3:

• Unit 3.1 Correlations Between Two Quantitative Variables
• HW 3.1 and SOL

• Unit 3.2 Least -Squares Regression Line and Residuals
• HW 3.2 and SOL
• Unit 3.3 Assessing LSRL using Residual Plots and Std Dev of Residuals
• HW 3.3 and SOL
• Chapter 3 Review

PPT

• 3.1
• 3.2
• 3.3
• C3R

Least Square Regression Line

In this chapter, students will learn to:

• Find the correlation between two bivariate variabbles and generate a LSRL between them
• Deriving the LSRL, where "x" is used to predict "y"
• Using Residual Plots, Coefficient of Determination, and Std Deviations of Residuals to assess a LSRL
• Interpreting the Slope, Y-intercept, Coefficient of Determination of a LSRL in CONTEXT
• Using Scatterplots to estimate the value of the correlation coefficient
• Testing a LSRL against the "average" line

AP Statistics Chapter 4:

• Unit 4.1 Different Types of Regressions
• HW 4.1 and SOL
• Unit 4.2 Two Way Tables and Relationships Between Categorical Variables
• HW 4.2 and SOL
• Unit 4.3 Defining Causation and Identifying Lurking & Confounding Vaiables
• HW 4.3 and SOL
• Chapter 4 Review

PPT

• 4.1
• 4.2
• 4.3
• C4R

Different Types of REgression Models and Confounding/Lurking Variables

In this chapter, students will learn to:

• Identify which type of regression model is best for a data set: ie Quadratic, Cubic, Quartic, Logarithmic, Power, or Exponential Regression
• Using Residual Plots, Correlation of Coefficient, and Std Dev of Residuals to decide which regression model is best
• Use two way tables and marginalization
• Define Simpson's Paradox
• Identify the requirements to establish causation

AP Statistics Chapter 5:

• Unit 5.1 Data Collection: How to Select a Random Sample

• Unit 5.2 Designing an Experiment

• Unit 5.3 Designing Simulations

• Chapter 5 Review

PPT

• 5.1
• 5.2
• 5.3
• C5R

Data Collection and Experimental Design

In this chapter, students will learn to:

• Distinguish and identify the characteristics of observational studies vs experiments
• Identify different sampling methods and the advantages of each
• Identify bias
• Distinguish between the purposes of randomization and blocking in an experimental design

AP Statistics Chapter 6:

• Unit 6.1 Simulations and Probability Experiments

• Unit 6.2 Independent Events and Conditional Probability

• Unit 6.3 General Probability Rules

• Chapter 6 Condensed

• Chapter 6 Review

PPT

• 6.1
• 6.2
• 6.3
• C6R

Probability Rules

In this chapter, students will learn:

• Design and perform probability simulations
• Define probability concepts: Independent vs Dependent events, Joint events, union, complement events
• Solve probability problems with Bayes's rule

AP Statistics Chapter 7:

• Unit 7.1 Continuous Random Variables: Formulas for Converting and Combinging Random Variables

• Unit 7.2 Discrete Random Variables Finding Means and Variance
• Ch 7 Condensed Lesson on Random Variables

• Chapter 7 Review

PPT

• 7.1
• 7.2
• 7.3
• C7R

Random Variables

In this chapter, students will learn to:

• Distinguish between a discrete vs random variable
• Explain what a probability distribution for a random variable is
• Calculate the mean and variance of a discrete random variable
• Calculate the mean and variance of distributions formed by combining two random variables

AP Statistics Chapter 8:

• Unit 8.1 Binomial Distributions

• Unit 8.2 Geometric Distributions

• Chapter 8 Review

PPT

• 8.1
• 8.2
• C8R

Binomial and Geometric Distributions

In this chapter, students will learn to:

• Explain what a Binomial Distribution is
• Calculate the mean and variance of a binomial random variable
• Solve problems involving geometric settings

AP Statistics Chapter 9:

• Unit 9.1 Mean and Std Error of a Sampling Distribution

• Unit 9.2 Mean and Std Error of a Sampling Proportion

• Unit 9.3 Defining and Conditions for the Central Limit Thm.
• Chapter 9 Condensed Lesson

• Chapter 9 Review

PPT

• 9.1
• 9.2
• 9.3

Sampling Distributions

In this chapter, students will learn to:

• Define Sampling Distribution, Contrast bias and variability
• Describe the sampling distribution of a sample proportion
• Describe the Sampling distribution of a sample mean
• State Central Limit Theorem

AP Statistics Chapter 10:

• Unit 10.1 Confidence Interval for the Mean of a a Z-Distribution

• Unit 10.2 Confidence Interval for the Mean of a T-Distribution

• Unit 10.3 Confidence Interval for the Proportion of a Z-Distribution

• Review Set 1
• Review Set 2
• Chapter 10 Review

PPT

• 10.1
• 10.2
• 10.3

Confidence Intervals

In this chapter, students will learn:

• Describe statistcal inference & margin of error
• Describe and construct a confidence interval for a population mean and for a population proportion
• Distinguish the difference between t-distribution and Normal distribution

AP Statistics Chapter 11:

• Unit 11.1 Performing a Significance Test for a Z-Distribution and T-Distribution

• Unit 11.2 Performing a Significance Test for the Proportion of a Z-Distribution

• Unit 11.3 and 11.4 Type 1 and Type 2 Errors, Power and Beta

• Chapter 11 Condensed Lesson

• Chapter 11 Review

PPT

• 11.1
• 11.2
• 11.3
• 11.4
• 11.4b

Significance Test and Testing a Claim

In this chapter, students will learn:

• Use a Sample to Test a Claim from the Null Hypothesis
• Define and Derive a Null Hypothesis and the Alternative Hypothesis
• Understand how the P-value of a Sample is used to compare with a significance level and deciding to either Reject or Fail to Reject a Null Hypothesis
• Identifying a Type 1 Error and Type 2 Error in Context and then comparing which error is more detrimental
• Using the Sampling Distribution of Sample means to calculate the probability of a Type 1 and Type 2 Error

AP Statistics Chapter 12:

• Unit 12.1 Confidence Interval for the Difference of Two Population Means Using a Z-Distribution

• Unit 12.2 Confidence Interval for the Difference of Two Population means using a T-Distribution

• T-test Applet from UBC

• Hypothesis Tests for Two Tail Scenarios
• How to Program InvT into your Ti83
• Chapter 12 Review

PPT

• 12.1
• 12.2

Confidence Interval for the Difference of Two Population Means or Proportion

In this chapter, students will learn:

• Conduct a signficance test by mean and proportion
• Determine when to use a One Tail vs Two Tail Hypotehsis test
• Learn to calculate a the Probability of a Type I and Type II eorro

AP Statistics Chapter 13:

• Unit 13.1 Performing a Significance Test on Two Population Means Using T or Z-Distributions

• Unit 13.2 Performing a Significance test of Two Popluation Proportions

• Chapter 13 Review

PPT

• 13.1
• 13.2
• 13R

Performing a Significance Test of the Difference of Two Population Means or Proportions
In this chapter, students will learn:

• Conduct a signficance test comparing two population means and two population proportions
• You will also learn to conduct these tests using a T-distribution, where the sample population is not given.

AP Statistics Chapter 14:

• Unit 14.1 Test Goodness of Fit

• Unit 14.2 Test for Homogeniety or Association

• Chapter 14 Review

PPT

• 14.1
• 14.2
• 14R

Chi-Squares

In this chapter, students will learn:
• to develop a project plan that involves collecting, displaying , and analysing data
• to select a sample from a population
• to understand the various aspects of collecting data

AP Statistics Chapter 15:

• Unit 15.1 Test for the Slope and Y-intercept of a Regression Line

• Chapter 15 Review

PPT

• 15.1
• 15R

Regressions

In this chapter, students will learn:
• to develop a project plan that involves collecting, displaying , and analysing data
• to select a sample from a population
• to understand the various aspects of collecting data