This is a PowerPoint presentation I use at the end of AP Statistics for whole-course review and as practice tool for the AP Exam. The presentation contains 52 slides with 6 practice items from the 1999 AP exam (including solutions and scoring guides), and a review of high-level concepts including: Distributions, Regression, The mechanics of finding linear, polynomial, and exponential models, Experiments and Studies, Probability, Random Variables, Inference, and Assumptions.
The referenced text
This is a PowerPoint presentation designed for whole-course review and as practice tool for the AP Statistics Exam. The presentation contains 56 slides with 6 practice items drawn from the 2000 AP exam (including solutions and scoring guides), and a review of high-level concepts including: Distributions, Regression, The mechanics of finding linear, polynomial, and exponential models, Experiments and Studies, Probability, Random Variables, Inference, and Assumptions.
The referenced text is: The P
Objectives:
-Given a two-variable data set, construct and interpret a scatterplot.
-Identify variables as explanatory or response variables.
-Describe an association in terms of:
*Direction
*Shape (or form)
*Strength
Reference Text:
The Practice of Statistics, First Edition.
Yates, Moore, McCabe
http://www.whfreeman.com/Catalog/static/whf/yates/
Objectives:
-State whether a variable is categorical or quantitative.
-Manually create a dotplot and a histogram that represent given data.
-Describe a distribution in terms of center, spread and shape.
Reference Text:
The Practice of Statistics, First Edition.
Yates, Moore, McCabe
http://www.whfreeman.com/Catalog/static/whf/yates/
Probability Basics
Objectives:
-Write the sample space for a set of events.
Count the outcomes in a sample space by using:
**A branching (tree) diagram.
**The multiplication principle.
-Apply the basic rules of probability to solve problems.
-Describe what is meant by the complement of an event.
-Describe what it means to say that two events are disjoint.
**Use the addition rule for disjoint events to answer “or” probability questions.
Reference Text:
The Practice of Statistics, First Edition.
Simple Random Samples
Objectives:
-Describe the difference between a population and a sample.
-Describe the difference between a census and a survey.
-Describe what is meant by bias in a sample.
-Describe what is meant by a:
*Voluntary Response Sample.
*Convenience Sample.
*Simple Random Sample.
-Use a Table of Random Digits to construct a Simple Random Sample of specified size from a population.
Reference Text:
The Practice of Statistics, First Edition.
Yates, Moore, McCabe
http://www.whfreem
Objectives:
-State mean and standard deviation for The Standard Normal Distribution
-Given a raw score from a normal distribution, find the standardized “z-score”
-Use the Table of Standard Normal Probabilities to find the area under a given section of the Standard Normal curve.
Reference Text:
The Practice of Statistics, First Edition.
Yates, Moore, McCabe
http://www.whfreeman.com/Catalog/static/whf/yates/
Conditional Probability
Objectives:
-Recognize whether a conditional probability problem calls for the use of the “or” case rules or the “and” case rules.
-Apply the “or” case rules for disjoint and dependent cases.
-Apply the “and” case rules for independent and dependent cases.
Reference Text:
The Practice of Statistics, First Edition.
Yates, Moore, McCabe
http://www.whfreeman.com/Catalog/static/whf/yates/
Objectives:
-Define specific measures of center and spread in a distribution
-Recognize notation for mean, median, and the 5-number summary of data
-Calculate same manually and on TI
-Determine outliers by the 1.5 IQR rule
-Draw boxplots manually and on TI
-Describe RESISTANCE as it applies to mean and median
Reference Text:
The Practice of Statistics, First Edition.
Yates, Moore, McCabe
http://www.whfreeman.com/Catalog/static/whf/yates/
The Central Limit Theorem
Objectives:
-Perform an activity that demonstrates the effect of the Central Limit Theorem.
-Write a statement of The Central Limit Theorem.
Reference Text:
The Practice of Statistics, First Edition.
Yates, Moore, McCabe
http://www.whfreeman.com/Catalog/static/whf/yates/
Designing Experiments
Objectives:
-Describe the difference between an observational study and an experiment.
-Draw a schematic diagram of a completely randomized experiment that allows comparison between a treatment group and a control group.
-State the three principles of experimental design.
-Describe what is meant by “statistically significant”.
-Describe what is meant by a “double blind” experiment.
Reference Text:
The Practice of Statistics, First Edition.
Yates, Moore, McCabe
http://www.
Objectives:
-Calculate the value of a residual at a point on a LSRL.
-Create a residual plot on the calculator and draw a conclusion about the goodness of fit of the LSRL.
Reference Text:
The Practice of Statistics, First Edition.
Yates, Moore, McCabe
http://www.whfreeman.com/Catalog/static/whf/yates/
Sampling Distributions
Objectives:
-Students should be able to describe the difference between a parameter and a statistic.
-Students should be able to define a sample mean and a sample proportion.
-Students should be able to define and describe a sampling distribution.
Reference Text:
The Practice of Statistics, First Edition.
Yates, Moore, McCabe
http://www.whfreeman.com/Catalog/static/whf/yates/
Counting Theory (Permutation and Combination)
Objectives:
-Use organized lists and tree (branching) diagrams to list all possible outcomes of a trial.
-Identify whether permutation or combination is appropriate to count the number of outcomes of a trial.
-Use formulas or calculator commands to evaluate permutation and combination problems.
Reference Text:
The Practice of Statistics, First Edition.
Yates, Moore, McCabe
http://www.whfreeman.com/Catalog/static/whf/yates/
Sampling Activity
Objectives:
-Practice the techniques involved in taking each of these types of probability sample:
*Simple Random Sample
*Systematic Random Sample
*Stratified Random Sample
Reference Text:
The Practice of Statistics, First Edition.
Yates, Moore, McCabe
http://www.whfreeman.com/Catalog/static/whf/yates/
Sample Proportions
Objectives:
-Describe the shape, center, and spread of the sampling distribution of p when a sample of size n is taken from a population.
-Apply two “rules of thumb” to determine whether the standard deviation formula and the normal approximation apply.
Reference Text:
The Practice of Statistics, First Edition.
Yates, Moore, McCabe
http://www.whfreeman.com/Catalog/static/whf/yates/
Describing Sampling Distributions
Objectives:
-Compare the mean and standard deviation of a population with the mean and standard deviation of a distribution of sample means (also known as a sampling distribution).
-Define what is meant by an unbiased statistic.
-Describe how sampling distribution variability is affected by sample size.
Reference Text:
The Practice of Statistics, First Edition.
Yates, Moore, McCabe
http://www.whfreeman.com/Catalog/static/whf/yates/
Objectives:
-Describe verbally the meaning of STANDARD DEVIATION.
-Calculate the VARIANCE and STANDARD DEVIATION of a data set from a formula and on the TI.
Reference Text:
The Practice of Statistics, First Edition.
Yates, Moore, McCabe
http://www.whfreeman.com/Catalog/static/whf/yates/
Matched Pairs t Procedures
Objectives:
-Students will perform a matched-pairs t procedure.
-Students will use the TI to calculate one-sample confidence intervals.
-Students will use the TI to calculate one-sample t-tests.
Reference Text:
The Practice of Statistics, First Edition.
Yates, Moore, McCabe
http://www.whfreeman.com/Catalog/static/whf/yates/
Included Activities:
-Review Problem 4.1 on calculator.
-Do the Oil Production problem in class.
Reference Text:
The Practice of Statistics, First Edition.
Yates, Moore, McCabe
http://www.whfreeman.com/Catalog/static/whf/yates/
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