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AP Stats: Spring 2025 Class Notes

 

Hello all you Manual Statisticians! Material is presented by each textbook chapter. If you do not find  what you are looking for, please let me know and I'll try to update it. Let's make this a great semester!

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Chapter 8 - Sampling Distributions

Chapter 8.1 - Statistics & Sampling Variability

• Lesson PPT - Intro to Sampling Distributions 

• New Idea: Unbiased vs. biased statistics

Chapter 8.2 - Sampling Distribution of a Sample Mean

• Lesson PPT -  Sample Means

• Sampling Distribution Activity - Class document

Chapter 8.3 - Sampling Distribution of a Sample Proportion

• Lesson PPT - Sample Proportions 

BIG Idea: Central Limit Theorem

• Video Link: Intro to Central Limit Theorem

• Video 2: Understanding CLT w/ Dr. Nic

• Video 3: Khan Academy & CLT

Real Consequences to Bias

LINK to StatTrek Video: ​Bias in Survey Sampling (10 min)

What problems can arise with surveys? Reviews surveys and sampling bias, and selection bias vs. response bias​

• Capitol Violence & Rioters: Real Consequences to Bias (NPR, January 13, 2021)

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Chapter 9 - Estimation Using a Single Sample

Chapter 9.1 - Point Estimate & Unbiased statistic

• Lesson PPT - Intro to Confidence Intervals

Chapter 9.2 - Confidence Interval for a Population Proportion

• Lesson PPT - CI for Pop. Prop. (p)

• Simulations w/ Rossman-Chance Applet

  • Video Ex: CI for Proportion on TI-84

  • Note: CI = Confidence Interval

Chapter 9.3 - Confidence Interval for a Population Mean

• Lesson PPT - CI for Pop. Mean (mu)

• Why is it called a "Student's t" or "t Distribution"? Video

• How do we compute a t-statistic? Video

• History & Purpose of t-distribution: Video 3

BIG Idea: Choosing Confidence Levels & Critical values

TEST #1 - Chapters 8 & 9

HW 9 - Test Review packet

• Test Review Answers (coming later)

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Chapter 10 - Hypothesis Testing with a Single Sample 

Chapter 10.1 - Null & Alternative Hypothesis

• Lesson PPT - Intro to Hypothesis Testing

• Video Link: Intro to Hypothesis Tests

• Why do we commonly set the alpha level at 0.05? 

  • Video link: Fisher creates norm for alpha

Chapter 10.2 - Hypothesis Testing: Type I & Type II Errors

• Lesson PPT -   Chapter 10.2

• Examples of Type I & Type II Errors

1. Ex 1: Innocent vs Guilty​

2. Ex 2: Video to Visualize Type I & Type II Errors

Chapter 10.3 - Hypothesis Tests for a Population Proportion

Chapter 10.4 - Hypothesis Tests for a Population Mean

BIG Idea: Understanding P-values​

• TED-Ed: What is a p-value? 

  • (Never saw the Fugitive?)

  • Scientists are confused: "What is a p-value?"

  • Understanding p-values​

•  Chapter 10.2 - Type I & Type II Errors

  • Ex 1: Innocent vs Guilty​

  • Ex 2: Video to Visualize Type I & Type II Errors

• Feb 22: Review/REWARD Day

• Feb 26: Chapter 10.3 - Hypothesis Tests for a Population proportion

• Feb 28/Mar 1:Review Day for Test 2 - Chapters 9 & 10

• Significance Test practice WS - Are AP stats students getting enough sleep?

• What is power in a significance test?

  • Class WS Answers​

• Test Review Answers

• TEST #2 - Chapters 9 & 10

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Chapter 11 - Hypothesis Testing with 2 Samples 

Chapter 11.1 - Two Sample Difference of Means

• Lesson PPT- Chapter 11 - Two Sample Means

Chapter 11.2 - Difference in Means w/ Paired Samples

Chapter 11.3 - Large-Sample Difference of Proportions

• Lesson PPT - Chapter 11- Two Sample Proportions

Chapter 11.4 - Interpreting and Communicating Results

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• March 14 - PI Day! Yay!

• March 22 - Article & Self Reflection - Where are you in your transformation? What is your light?

• March 28 - BIG QUIZ Chapter 11(cont.); Review/REWARD Day - TEST Retake

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Sample 30 Day Project Reports

1. Sample 1 Report (Grade = C)

2. Sample 2 Report (Grade = B-)

3. Sample 3 Report (Grade = B)

4. Sample 4 Report (Grade = A)

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Chapter 12 - Analysis of Categorical Data & GOF* Tests (*Goodness-of Fit Tests)

Chapter 12.1 - Chi-Square Tests for Goodness-of-Fit (GOF)

• Lesson PPT - Chapter 12: Intro to Chi-square & Categorical Inferential Data (Goodness of Fit)

• Class Lab: M&M's Color Distribution

• Sample Video - Intro to Chi-Square Test

Chapter 12.2 - Chi-Square Tests for Homogeneity & Independence (working w/ Two-way Tables)

• Practice video

• How do we get a Chi-square distribution? Video

• Intro to Chi-Square Distributions: Video

• Chi-Square Goodness of Fit Test: Video

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