Inference (revised)


The inference unit is probably the most comprehensive one in this collection. After the very important concepts of sampling distribution and the central limit theorem are introduced, there are several packets available that deal with the various types of hypothesis testing and confidence intervals. In these packets, there are many examples of these procedures.  There are several quizzes and exams along the way. A continuation of the Newton problem that was initiated in the Experimental Design is also included. The problem will focus on inference; trying to predict the number of people in a town based on sampling.

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Contents of the Inference Material


Cover page: For each of the sections, I have a cover page that describes the material and what it includes. I suggest that you read it for each section. Material that is new or revised I indicated in red.


Overview. These are generally booklets or description pages where there are no problems to solve. For instance, we have one booklet on all aspects of the calculator.  Since there are no solutions, the Overview file is located only in the student version. The contents are described in the cover pages.

Teaching. These are documents that the teacher uses for face-to-face teaching. It walks students through a process like doing regression or a hypothesis test. There are several problems that teachers will do with the students in class and homework problem, found in the exercises mimic them. The contents of the teaching packet are described in the cover pages.

Exercises.  This is the bulk of the material. It contains homework problems, quizzes, and exams, and simulations to try. In the Inference section, there are two exercise files because of the great number of concepts taught. The contents of the exercise packet are described in the cover pages.

YouTube Videos and Powerpoints. Several concepts are further explained with examples using YouTube videos. These are narrated. Unnarrated versions and scripts that go with them might be used by teachers who want more control of the video. These are in Powerpoint format. Powerpoints are compatible with the Windows version of Microsoft Office 2010 and later and the Mac version of Microsoft Office 2011 and later.
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More in-depth descriptions of contents


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   Hypothesis tesing form

   Hypothesis tests decision

   Final project


A template to guide students

Every test, their inputs and outputs

Ideas for a project after the AP exam

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Teaching I and II

   1. Sampling Dist

   2. Inference

   3. Type I/II errors

   4. t-tests and CI

   5. Proportion z-tests

   6. Chi-square dist

   7. Linear reg. t-tests

Emphasizing the Central Lim. Thm.

Comprehensive z-tests packet

Their ramifications

1 sample, 2 samples, matched pairs

1 sample and 2 sample

Goodness of fit and Independence

Testing for slope

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Exercises I and II

   1. Sampling dist

   2. Central Lim Thm.

   3. Practice Quiz

   4. Quiz

   5. Confidence Int

   6. CI Interpretation

   7. Practice quiz

   8. Quiz

   9. Hypothesis tests

   10. Quiz

   11. Inference

   12. Practice exam

   13. Exam

   14. Assignment

   15. Simulation

   16. t-tests and CI

   17. Quiz

   18. Prop. tests/CI

   19. Practice exam

   20. Exam

   21. Chi-square tests

   22. Quiz

   23. Assignment

   24. Linear reg t

   25. Quiz

Creating them from small sets

Calculating probabilities

Central Limit Thm

Central Limit Thm

Using summary data and samples


Confidence Intervals

Confidence intervals

4 problems - completion of template

1 problem - hypothesis testing

Real life problem

z confidence intervals and hyp testing

z confidence intervals and hyp testing

Interpretation of Type errors

Predicting Population

10 problems - completion of templates

t-tests and CI

5 problems - completion of templates

CLT/z-tests,t-tests,proportion z-tests

CLT/z-tests,t-tests,proportion z-tests

Goodness of fit and independence

Chi-square tests

Creating fair dice out of clay

Testing for slope

Linear regression t-tests

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Excel File

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enable macros








YouTube Videos

  Central Limit Thm

  Type I and II errors (

Solution version given

   Unnarrated version & script

    availble in solutions,



By downloading the free guides, you have the right to make as many copies as you wish as long as you use them for face-to-face classroom use. Solutions cannot be posted on the Internet nor placed on a school's website except with special permission. Any questions, contact me at

Purchase the Inference Answer Key!
Only $49.95
(for download) 
Purchase options.
Purchase entire set of answer keys for all AP Stat materials!
Only $99.95
(for download) 
Purchase options.
Another purchase option includes ordering our AP Stat materials on a flash driveClick here for details!  


Click HERE to access the downloads for a previous purchase 
(must be within 7 days of original purchase)