Inference

 

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 with a packet, there are several packets available that deal with the various types of hypothesis testing. In these packets, there are many examples of these procedures.  There are several quizzes and exams provide along with several projects. 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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Sampling Distributions
10-page Packet *
A description of sampling distributions which has students actually generate some simple sampling distributions and show that the Central Limit theorem holds. There is a practice quiz here as well. This packet is an important prelude to inference. Inf01SamplingDistributions.pdf (1.4 MB)
Sampling Distributions
2-page Quiz *
A quiz that tests students on their ability to create a sampling distribution and show that the Central Lmit Theorem holds. Inf02CentLimitThmQuiz.pdf (128 KB)
Inference
26-page Packet *
This is an important packet. It covers the rudiments of inference (using z-procedures). It illustrates hypothesis testing as well as confidence intervals. Table as well as calculator procedures are covered. The unit ends with a discussion of Type I and Type II errors. Many examples and problems are given for students to solve. Inf03ZtestsConfInt.pdf (2.7 MB)
Confidence Intervals
1-page Overhead *
What is the meaning of a confidence interval? I like to put this sheet on an overhead and ask students to choose the meaning of a confidence interval. Inf04ConfInterval.pdf (40 KB)
Confidence Intervals
1-page Quiz *
A short quiz that tests students on creating and interpreting a confidence interval. Inf05ConfIntQuiz.pdf (88 KB)
z-test
1-page Quiz *
A short one-question quiz asking students to run a hypotheis test on a form that requires students to fill in pertinent information. Inf06ZTestQuiz.pdf (104 KB)
Inference
10-page Packet
A small booklet for beginning inference students that helps students to choose the right test and then use the correct formula. Inf07HypTestingDecision.pdf (1.8 MB)
Hypothesis testing
1-page Worksheet
A form that I xerox in quantity so that students learn all the essential components of a hypotheis test. Inf08HypTestingForm.pdf (80 KB)
t-tests
22-page Packet *
A detailed packet explaining t-tests and t-confidence intervals with many examples including one and two samples as well as match pairs. Calculator instructions as well are included. Inf09tTestsConfint.pdf (1.3 MB)
t-tests
2-page Quiz *
A two question quiz using t-tests. A two sample as well as matched pair problem are included. Inf10tTestsQuiz.pdf (56 KB)
Proportion Tests
11-page Packet *
A detailed packet explaining z-proportion tests and confidence intervals using both one and two samples. Calculator instructions as well are included. Inf11ProportionTests.pdf  (908 KB)
Hypothesis testing
5-page Exam *
An exam that might be best given as a take-home exam. There are 5 problems that require both t and z-procedures for inference and confidence intervals. Inf12HypTestingExam.pdf  (104 KB)
chi-square tests
8-page Packet *
An in-depth study of goodness of fit and tests of indepenence.  Calculator instructions are given as well. Inf13chiSquare.pdf  (472 KB)
chi-square tests
1-page Project
A neat project that requires students to make dice and test them for fairness. Inf14DiceAssgt.pdf  (76 KB)
chi-square tests
2-page Exam *
A 4-question exam using goodness of fit and independence tests. Inf15CategoricalTests.pdf  (116 KB)
Linear regression t-tests
3-page Packet *
A description of linear regression t-tests and confidence intervals procedures including calculator instructions. Inf16LinearRegtTest.pdf  (248 KB)
Linear regression t-tests
2-page Quiz *
A 2-question quiz focusing on linear regression t-tests and confidence intervals. Inf17LinearRegtTestQuiz.pdf  (92 KB)
Inference
1-page Worksheet
This isn't mine but I have ammended it. A description of all the conditions necessary for each inference test. Inf18Conditions.pdf (100 KB)
Project
10-page Packet
What to do after the AP exam? I like to give the students a project in which they collect data and test a hypothesis. This packet outlines the types of projects students can try and how to go about it. Inf19FinalProject.pdf (200 KB)
Inference
6-page Packet
A packet that works in conjuction with the Newton simulation below. If you have the time, this will really benefit students as the census problem from the Experimental Design section it deals with is one that they can relate to. Great if you are teaching in the block or have access to computers. Inf20NewtonProb2.pdf  (840 KB)
Sampling
Excel file
This file is used to accompany the Newton packet above. It will only work with computers that have Visual Basic installed (the newer version of Office unfortunately does not). This is the same simulation from the Experimental Design section. NewtonSimulation.xls (376 KB)

 

 
Purchase the Inference Answer Key!
Only $59.95
(for download) 
Purchase options.
Purchase entire set of answer keys for all AP Stat materials!
Only $99.95
(for download) 
Purchase options.
 
Other purchase options include ordering our AP Stat materials in paper format or on CD.  Click here for details!  


 

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