ࡱ> #` bjbj\.\. 7>D>D(<666(^ ~~~>>>8?\n?<@(@(AAAAAA@BBBBBB$h_bfQ~)FAA)F)Ff~~AAJJJ)F~A~A@J)F@JJJ\~~̚A@ Kdk>FxB̛t͟0G̚~̚ABJC/DAAAffI^AAA)F)F)F)F$"'$'~~~~~~ AP Statistics Overview of AP Statistics The goal of this course is to draw connections between all aspects of the statistical process, including design, analysis, and conclusions. To accomplish this goal students will be issued a TI-83 Plus calculator for class work, homework, and assessments. Additionally, various applets on the Internet will be used to present material on difficult material, e.g., confidence intervals. The primary textbook used in this course is Brase | Brase. Understandable Statistics, 8th edition, Boston, Massachusetts: Houghton Mifflin Company 02116-3764. Understandable Statistics will be supplemented with information on experiments, and transformations to achieve linearity from Yates, Daniel S., David S. Moore, and Daren S. Starnes, The Practice of Statistics, 2nd edition, New York: W.H. Freeman, 2003. Projects and activities are a major part of this course. Students will complete at least one writing assignment each term, with an ongoing cumulative project that integrates the process of design, analysis, and conclusions. Access to Microsoft Excel and Minitab for projects will be available in the classroom as well as the school Library. Course Outline {The course outline is organized by chapters in the primary textbook.} Chapter 1 Getting Started 3 weeksTopicsAP Statistics Course Description TopicProjects and ActivitiesDefinition Statistics Levels of Measurement Simple Random Samples Sampling Techniques Surveys Experiments & Observations II A. Overview & methods of data collection II B. Planning and conducting surveys II C. Planning and conducting surveys II D. Generalizability of resultsProject: Conduct a study using samples with Mashpee High School students representing the population parameter; 1st part of cumulative project (draft feed-back) Chapter 2 Organizing Data 1 weeksTopicsAP Statistics Course Description TopicProject and ActivitiesBar Graphs Circle Graphs Time-Series Graphs Frequency Distributions Histograms Dotplots Distribution ShapesI. A Constructing & interpreting graphical displays of distributions of univariate data I. B Summarizing distributions of univariate data I. C Comparing distributions of univariate data (dotplots, back-to-back stemplots, paralle1 boxplots) Activity: Graphical Displays from USA Today What makes for a good display? Activity: Using the TI-83 graphing calculatorChapter 3 Averages and Variation 2 weeksMeasures of Central Tendency (Mean, Median, Mode) Measures of Variation (Standard Deviation, Variation, Range) Mean & Standard Deviation of Grouped Data Percentiles & Box-and-Whisker PlotsI. E Exploring categorical data (Note: parts IA, IB, and IC are also covered in this chapter)Activity: Measure height versus arm spread Project: (continuation) graphical display, shape, outliers, spread, and measures of central tendency (draft feedback) Activity: Using Minitab & Excel Activity: Using the TI-83 graphing calculatorChapter 10.1 10.2 Correlation and Regression 2 weeksScatter Diagrams Linear Correlation Linear Regression Coefficient of Determination Residual Plots TransformationsI. D Exploring bivariate dataProject (continuation) for bivariate data linear regression models developed and analyzed (draft feedback) Activity: Using Minitab & TI-83  Chapter 4 Elementary Probability Theory 2 weeksTopicsAP Statistics Course Description TopicProject and ActivitiesProbability Law of large numbers Compound events multiplication and additive rules Independence & dependence Trees and counting techniques includes permutations, combinationsIII. A. Probability III. B. Combining independent random variables Linking Concepts: Writing Projects at the end of Chapter 3. Problem 2. Why do we need to study the variation of a collection of data? Why isnt the average by itself adequate? Etc.Chapter 5 The Binomial Probability Distribution and Related Topics 2 weeksRandom Variables and Probability Distributions Binomial Probabilities Additional Properties of the Binomial Distribution The Geometric and Poisson Probability DistributionsIII. A. Probability III. B. Combining independent random variablesLinking Concepts: Writing Projects at the end of Chapter 4. Problem 2. Discuss the concepts of mutually exclusive events and independent events. List several examples of each type of event from everyday life. Etc. Activity: Using Minitab & TI-83Chapter 6 Normal Distributions 3 weeksGraphs of Normal Probability Distributions Standard Units and Areas Under the Standard Normal Distribution Areas Under Any Normal Curve Normal Approximation to the Binomial DistributionIII. C. The normal distributionRead and synopsize paper: Is it Normal? Website (reference)  HYPERLINK "http://apcentral.collegeboard.com/apc/members/courses/" http://apcentral.collegeboard.com/apc/members/courses/ teachers_corners/37042.html. Activity: Using TI-83 Chapter 7 Introduction to Sampling Distributions 3 weeksTopicsAP Statistics Course Description TopicProject and ActivitiesSampling Distributions The Central Limit Theorem Sampling Distributions for ProportionsIII. D. Sampling DistributionsLinking Concepts: Writing Projects at the end of Chapter 7. Problem 2. In a way, the central limit theorem can be thought of as a kind of grand central station. List and discuss at least three variables from everyday life for which you expect the variable x itself does not follow a normal or bell shaped distribution. Etc. Chapter 8 Estimation  3 weeksEstimating when  is known Estimating when  is unknown Estimating p in the Binomial Distribution Estimating 1  2 Estimating p1  p2III. D. (sampling distribution 5-distribiton) IV. A. EstimationRead and synopsize paper:  Is That an Assumption or a Condition? Website:  HYPERLINK "http://apcentral.collegeboard.com/apc/members/courses/" http://apcentral.collegeboard.com/apc/members/courses/ teachers_corners/31609.html. Activity: Applet from Internet on confidence interval Project: (continuation) Point estimate from the sample data collected.Chapter 9 Hypothesis Testing - 4 weeksIntroduction to Statistical Tests Testing the Mean  Testing a Proportion p Testing Involving Paired Differences (Dependent Samples) Testing 1  2 (Independent Samples) Testing p1  p2 (Independent Samples)IV. B. Tests of SignificanceLinking Concepts: Writing Projects at the end of Chapter 9. The most important questions in life usually cannot be answered with absolute certainty. Many important questions etc.  Chapter 10.3 Inferences for correlation & regression - weeksTopicsAP Statistics Course Description TopicProject and ActivitiesInferences for Correlation and RegressionIV. B. Tests of SignificanceActivity: Using MinitabChapter 11 Chi-Square and F Distributions {Covers only Chi-Square} 2 weeksChi-Square; Tests of Independence Chi-Square; Goodness of Fit Testing and Estimating a Single Variance or Standard DeviationIV. B. Tests of SignificanceProject: (continuation) Perform a test of significance at the .05 level on the data collected (draft feed-back). AP Examination Review 2 weeksAll Questions from AP Exam 2006 All Questions from AP Exam 2005 All Open Response Questions from 2002 through 2004Post AP Examination -2 weeksFinalize Project (cumulative) draw conclusions and submit (Minitab output required) Students will present their reports to the class.The course draws connections between all aspects of the statistical process, including design, analysis and conclusions.Field Trip Coca-Cola Plant (control charts, quality control, etc.) Cumulative Project Description - AP Statistics Data Collection: Through observation collect a sample of quantitative data from a population. The data must be bivariate and the student must obtain at least 50 values. Students must submit a paper describing the data they intend to collect and state how they plan to collect the data. {This insures the student understands what constitutes a population, simple random sample, bias, etc.} Students should get teacher approval before conducting the survey or experiment. Exploring & Analyzing Data: (Part I): Using appropriate displays discuss the data collected in the Data Collection part of the project focusing on the shape of the data, outliers, measures of central tendency, and measures of dispersion. Note, the data collected is bivariate; however, the data can be viewed from two aspects one set of data for the explanatory variable, the other set of data for the response variable. Students must submit a draft to the teacher for feedback. Exploring & Analyzing Data: (Part II): Using the bivariate data collected in the Data Collection part of the project, develop a linear regression model. Calculate and interpret correlation coefficient, coefficient of determination, residual model, and standard error of the estimate. {Students should transform the data if the data appears to be not linear.} Minitab output with appropriately annotated formulas are a necessary piece of this part of the project. Students must submit their work for teacher feedback. Note: A test of significance for the slope of the regression line must be included in the final report. Point Estimate for Data: Using the bivariate data collected in the Data Collection part of the project, calculate a point estimate for the population using the appropriate statistic, critical value, and standard deviation of the statistic. All calculations, assumptions and conditions must be described. Students must submit their work for teacher feedback. Hypothesis Testing: Using the bivariate data collected in the Data Collection part of the project, perform a significance test at the .05 level using the appropriate standardized test statistic, statistic, parameter, and standard deviation of the statistic. Students must submit their work for teacher feedback. Conclusion (Final Report): Organize all previous work, summarize your findings and conclusions, discuss what you learned from this project, what would you have done differently knowing what you know now, and provide a copy of the PowerPoint Slides you will use in your oral presentation to the class.  Starting in the school year 2007-2008 Mashpee High School will have a site license for 5 users, and Minitab will become an integral part in doing the cumulative project.  Topic supplemented by Chapters 5.1 & 5.2 from ,-   M P i   ! # % L V e L ̴̼|th`X``h$CJaJhCJaJhhq>5CJOJQJaJhq>5CJOJQJaJh wCJaJh wh wCJaJh4Z CJaJh'6CJaJh'CJaJh4Z CJaJh 0CJaJhq>CJaJ}P<$ <<$Ifa$gdq>kd$$IflF! 30 ( t06    44 layt},k x$Ifgd w x$Ifgd'5Rxxi^O x$Ifgd2. x$Ifgd 0 & Fx$Ifgd 0 & F$Ifgd 0 & Fx$Ifgd 0jkd$$Ifl 3x3 t0644 layt},kaa_____kdK$$IflF! 30 ( t06    44 layt},k $Ifgdi :;  TV  &(02Ȼȫݣݣݛ|ȫtththththtth.%h.%CJH*aJh.%CJaJh5CJOJQJaJh%6CJaJhD6CJaJhDCJaJhCJaJhq>hq>5CJOJQJaJh65CJOJQJaJhq>5CJOJQJaJh whhq>CJaJh wh wCJaJh wCJaJh wCJaJ' #~uuh $Ifgd4C $Ifgd4Cjkd$$Ifl 3x3 t0644 layt$ <<$Ifa$gdq>#$;U|n_RC8 x$Ifgd & Fx$Ifgd & F$Ifgd & Fx$Ifgdkd? $$IflF! 30 ( t06    44 layt4C]I$ <<$Ifa$gdq>kd $$IflF! 30 ( t06    44 laytq> xx$Ifgd2.V4xxxi^UU $Ifgd4C x$Ifgd.% & Fx$Ifgd.% & F$Ifgd4C & Fx$Ifgd.%jkdC $$Ifl 3x3 t0644 layt@  ) * n o p !!,!/!H!I!J!K!M!j!o!u!w!!ѿٲѪwj]wUMh.%CJaJh+CJaJh5CJOJQJaJh@5CJOJQJaJh+5CJOJQJaJhCJaJh%h%CJaJh%CJaJh%h%CJaJhCJaJhDjhD0JCJaJ#j hDjhDCJUaJhDCJaJjhDCJUaJhDCJaJh%6CJaJhD6CJaJ) -!J! x$Ifgd% $IfgdD x$Ifgd2.J!K!v!nZ$ <<$Ifa$gd+kd $$IflF! 30 ( t06    44 layt},kv!w!!">"""J##xxxk\Q x$Ifgd.% & Fx$Ifgd.% & F$Ifgd.% & F$Ifgd+ & Fx$Ifgd.%jkdz $$Ifl 3x3 t0644 layt},k!!"""""#######${$}$$$$%0%1%N%O%g%i%k%s%%%%%%%S&ƹrbrhehe5CJOJQJaJhe5CJOJQJaJh@5CJOJQJaJh+5CJOJQJaJh wCJaJh},kCJaJhygCJaJhCJaJh5CJOJQJaJh},kh2.6CJaJh2.CJaJh.%CJH*aJh.%h.%CJH*aJh.%CJaJh+CJaJ##|$}$~$$$[YYE$ <<$Ifa$gd+kd $$IflF! 30 ( t06    44 layt},k$x$If^$`gd2.$$$$%~ $Ifgd:@ $Ifgd:@jkd` $$Ifl 3x3 t0644 layt},k%%1%O%h%n]RC x$Ifgd w x$Ifgd},k & Fxx$Ifgd},kkd $$IflF! 30 ( t06    44 layt:@h%i%%nZ$ <<$Ifa$gd+kd8$$IflF! 3.- t06    44 layt6%%%%5&S&&xi^G x$If^`gd2. x$Ifgd},k & Fx$Ifgd},k & F$Ifgd & Fx$Ifgd},kjkd$$Ifl 3x3 t0644 layt},kS&Z&\&o&&&&&a'~'''' ( (((((((((((((()º픈zg_SKhHVh4j5hHVh4j5OJQJh4jOJQJ$jhoxh4j0J5OJQJUhoxh4j5H*OJQJhoxh4j5OJQJh4jCJaJhB#h2.CJaJhB#CJaJh6h2.CJaJh]CJaJjh w0JCJUaJh wCJaJh2.5CJOJQJaJhLCJaJh2.CJaJh%h2.CJaJ&&&nZ$ xx$Ifa$gd6kd$$IflF! 3.- t06    44 layt6&& '+'^'_'`'ti\ $Ifgdi x$Ifgd},k & Fxx$Ifgd6 & Fx$Ifgd6jkd$$Ifl 3x3 t0644 layt4C`'a''nZ$ xx$Ifa$gd4Ckd$$IflF! 3.- t06    44 layt6'' (((n] xx$Ifgd6 xx$IfgdB# & F xx$Ifgd6jkd$$Ifl 3x3 t0644 layt4C(((((())*niaaaTTKp^pgd> p^p`gd>$a$gd>gdl)kd$$IflF! 3.- t06    44 layt6***++,,,,,?/@/A/B/[/\/00000111 2gd>p^pgd> xp^p`gd> p^p`gd>)*+++,,A/B/]/0001 2333 3!3"3333&'(<=ÙęƙǙșəʙ˙̙Ιә½ĵĮĪĞĞĞĒhzhz6CJaJh:@jhDyUhDy h$$hzh$$hzH* hz6Uhzjhz0JUhhVlCJaJ h2=~h4j hQjh4jhL h4j5hHVh4j5h4j6 2 23333 3!33'<™ÙřƙǙșəgdl)p^pgd> p^p`gd>The Practice of Statistics 2nd Edition  Time is spent on Problem 17 for residual plots & is supplements by information is Chapter 3.3 of Yates, Moore, and Starnes  Lesson is prepared based on information from Chapter 3.4 of Yates, Moore, and Starnes  See the attached for a description of this cumulative project  The course long project will be done in pairs, if there are an odd number of students, one group will have three students.     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