AP Statistics Syllabus School Profile The school is an urban multi-racial school located in a middle income neighborhood on the far north side of city of Chicago. Twenty-two percent of the students can read at “grade level” (meet or exceed the standards of the PSAE exam of Illinois) and thirty-three percent can write at grade level. Eighty-five percent of the students qualify as coming from lowincome households, and the graduation rate is about sixty-eight percent. The course is offered to any Junior or Senior. The diversity of the student population opens the door for interesting discussions on the myriad topics AP statistics problems are based on. Grades 9-12 Type Comprehensive neighborhood public high school Total Enrollment 1,742 Ethnic Diversity Hispanic, 37 percent; Asian, 26 percent; Black, 14 percent; Other, 13 percent College Record Among our graduates, 57 percent go on to college. Personal Philosophy I earned my undergraduate degree in mathematics but it was not until my junior year of college that I was exposed to statistics. It was completely different from any math course I had ever experienced in that the answers were rarely ever definitive. Solutions to statistics problems give predictions that are accurate to a specific level, but there will always be room for interpretation. Being a math student who also spends a large amount of time writing, this open ended-ness is something that attracted me. Also, I encourage discussion and writing into my math classes. This course provides students the opportunity to be challenged with rigorous content and demanding deadlines. The course gives students a chance to utilize mathematics for a clearer purpose than many of them have ever experienced. Class Profile We currently offer one section of AP Statistics as a junior and senior elective. The average enrollment is 30 students, and the class meets daily for 46 minutes. We operate on a traditional semester system (four quarters), with school running from September to midJune. THIS ALL BUILDS UP TO FRIDAY MAY 9TH!!!!! Course Overview AP Statistics is for juniors and seniors who wish to earn college credit through a thorough academic program. The course covers the topics you would encounter in an introductory college statistics semester course. Course Description Throughout this course we will be collecting, analyzing and describing data using the statistical methods we learn. The vast majority of class time will be spent in whole or small group discussions on the current statistics topics. We will frequently be exposed to example multiple choice and free response questions that mirror what students can expect to see on the AP exam. Students will use their TI calculators throughout the course to enter data into lists, create graphical representations, run simulations, conduct tests of significance, determine confidence intervals and many other things. Students will be expected to understand how topics are solved by hand as well but the calculator will serve to facilitate understanding of complex statistical methods. Other uses of technology will include Minitab displays and various internet applets. Textbook Starnes, Daren S., Yates, Daniel S., Moore, David S. "The Practice of Statistics, Fourth Edition." The Practice of Statistics, Fourth Edition. W.h. Freeman and Company, 15 Sept. 2012. Additional Resources Hinders, Duane C. AP Statistics, 2010-2011. Dubuque, IA: McGraw-Hill Contemporary Learning, 2010. Sternstein, Martin. Barron's AP Statistics. Hauppauge, NY: Barron's Educational Series, 2010. Mulekar, Madhuri S. Cracking the AP Statistics Exam. Framingham, MA: Princeton Review, 2011. "Barron's AP Statistics Flash Cards." Barron's AP Statistics Flash Cards (Barron's: The Leader in Test Preparation): Martin Sternstein Ph.D.: 15 Sept. 2012. Peck, Olsen, and Devore. Introduction to Statistics and Data Analysis, Second Edition. Belmont, California.: Brooks/Cole, 2005. Various released AP free response and multiple-choice questions from the College Board. My website iselinmath.weebly.com This should be one of the most helpful parts of the class. I will use this to post powerpoints from each section (which I highly suggest printing out with 4 slides on each page and bringing to class). I will also have links to the online textbook and other helpful websites. At the end of each section I will post homework solutions as well. Finally, depending on how we feel as a class, I might post practice chapter tests and solutions at the end of the chapter. Grading Scale A B C D F 92 – 100 83 – 91 74 – 82 65 – 73 0 – 64 Class Breakdown Tests (35%) Your tests will be based on what you will see on the AP exam. There will be between 9-11 multiple-choice questions and 2-3 free response questions on each test. Tests can ONLY be made up if you have an excused absence on the test day. They must be made up within two days of your absence either before or after school (by appointment) in room 106. The free response test questions are based off of problems we do in class and the multiple choice questions are to see how well you understand the concepts in the chapter. Group Activities (15%) We will have group activities as much as possible, which will probably be one or two times per week. You will be assessed based on the group-work rubric 8-point scale. Quizzes (15%) Quizzes will be written to take no more than half of a class. Quizzes may or may not be announced and can only be made up by appointment before or after school. One type of quiz will be free response and will come from the homework problems. The other type will be vocabulary or formula based and will be used to make sure you have a complete understanding of the concepts. Homework (35%) Homework will be assigned for each section of the chapter and students will have until the chapter test to finish it. Homework will be graded randomly and answers will be provided on iselinmath.weebly.com after we finish each section. HOMEWORK IS WORTH AS MUCH AS TESTS BECAUSE YOU WILL NOT BE ABLE TO GET A 4 OR 5 ON THE AP TEST WITHOUT KNOWING HOW TO DO THE HOMEWORK. It is so important that I will try to allow time in class once per week (depending on how our pace is) to complete homework in cooperative groups. Your first prerogative is to finish on your own because the discussions that you will have with your group will be where you learn the most. Homework class-time should be used wisely. Other The ultimate goal in AP stats is to give you a preview into your first year of college and hopefully have some AP credits when you begin. We will be working on individual study skills, time budgeting, and self-motivation. Throughout the year we will prepare for the AP exam with the goal that everyone gets a 3, 4, or 5. Most of you are former students that have been recruited by me for your intelligence and your work ethic and because I have truly enjoyed having you in class previously. Others have come with strong recommendations from my fellow teachers. I do not foresee behavior or attendance issues with any of you. However, I will put a quick stop to any actions that are unbecoming of an AP student and will keep you on track towards maximizing your potential. There is one situation that will result in immediate action and it is academic misconduct. I will not tolerate cheating in any form in this class. You are expected to do your own work whether it is a homework assignment or a semester exam. Cheating will be dealt with harshly which could mean removal from class even on a first offence. You have the resources I have provided for you in addition to your classmates. I am available for help at any time day or night through the blog. You will only succeed in this class with hard work. Group Project Explanations Project Type 1: Two times during the course our cooperative groups will be using the research process we learn to plan, conduct, interpret and ultimately present their own research project. Students will use these projects to show me that they understand the aspects of the statistical process (exploring data, sampling and experimentation, anticipating patterns and statistical inference) and how they relate to one another. The presentation must contain each of the following: 1. Clear explanation of your project. 2. Description of how you came about your idea. 3. Description of how you sampled and why you chose that method. 4. Description of how you measured your results. 5. Description of how you planned to analyze your data. 6. Discussion of confounding variables or bias relating to your plan. 7. Final analysis 8. Interpretation of your results in context 9. Ability to field questions from classmates or your teacher. Project Type 2: One time during the year each student is required to find an example of research in a newspaper, news magazine or academic journal and either write a paper or give a presentation on it. The article must be approved before you begin the project. The student will then describe in detail each of the following: 1. How the data was collected. 2. How the data was analyzed. 3. Your own interpretation of the results within the context of the problem. This paper or presentation must contain statistics vocabulary throughout. Chapter 1 Day Objectives: Students will be able to… Topics 1 Chapter 1 Introduction 2 1.1 Bar Graphs and Pie Charts, Graphs: Good and Bad 3 1.1 Two-Way Tables and Marginal Distributions, Relationships Between Categorical Variables: Conditional Distributions, Organizing a Statistical Problem 4 1.2 Dotplots, Describing Shape, Comparing Distributions, Stemplots 5 1.2 Histograms, Using Histograms Wisely 6 1.3 Measuring Center: Mean and Median, Comparing Mean and Median, Measuring Spread: IQR, Identifying Outliers 7 1.3 Five Number Summary and Boxplots, Measuring Spread: Standard Deviation, Choosing Measures of Center and Spread 8 Chapter 1 Review 9 Chapter 1 Test Identify the individuals and variables in a set of data. Classify variables as categorical or quantitative. Identify units of measurement for a quantitative variable. Make a bar graph of the distribution of a categorical variable or, in general, to compare related quantities. Recognize when a pie chart can and cannot be used. Identify what makes some graphs deceptive. From a two-way table of counts, answer questions involving marginal and conditional distributions. Describe the relationship between two categorical variables by computing appropriate conditional distributions. Construct bar graphs to display the relationship between two categorical variables. Make a dotplot or stemplot to display small sets of data. Describe the overall pattern (shape, center, spread) of a distribution and identify any major departures from the pattern (like outliers). Identify the shape of a distribution from a dotplot, stemplot, or histogram as roughly symmetric or skewed. Identify the number of modes. Make a histogram with a reasonable choice of classes. Identify the shape of a distribution from a dotplot, stemplot, or histogram as roughly symmetric or skewed. Identify the number of modes. Interpret histograms. Calculate and interpret measures of center (mean, median) Calculate and interpret measures of spread (IQR) Identify outliers using the 1.5 IQR rule. Make a boxplot. Calculate and interpret measures of spread (standard deviation) Select appropriate measures of center and spread Use appropriate graphs and numerical summaries to compare distributions of quantitative variables. Suggested Homework 1, 3, 5, 7, 8 11, 13, 15, 17 19, 21, 23, 25, 27-32 37, 39, 41, 43, 45, 47 53, 55, 57, 59, 60, 6974 79, 81, 83, 87, 89 91, 93, 95, 97, 103, 105, 107110 Chapter 1 Review Exercises Chapter 2 Day Topics 1 2.1 Introduction, Measuring Position: Percentiles, Cumulative Relative Frequency Graphs, Measuring Position: z-scores Objectives: Students will be able to… 2 2.1 Transforming Data, Density Curves 3 2.2 Normal Distributions, The 6895-99.7 Rule, The Standard Normal Distribution 4 2.2 Normal Distribution Calculations 5 2.2 Assessing Normality 6 Chapter 2 Review 7 Chapter 2 Test Use percentiles to locate individual values within distributions of data. Interpret a cumulative relative frequency graph. Find the standardized value (z-score) of an observation. Interpret z-scores in context. Describe the effect of adding, subtracting, multiplying by, or dividing by a constant on the shape, center, and spread of a distribution of data. Approximately locate the median (equal-areas point) and the mean (balance point) on a density curve. Use the 68–95–99.7 rule to estimate the percent of observations from a Normal distribution that fall in an interval involving points one, two, or three standard deviations on either side of the mean. Use the standard Normal distribution to calculate the proportion of values in a specified interval. Use the standard Normal distribution to determine a z-score from a percentile. Use Table A to find the percentile of a value from any Normal distribution and the value that corresponds to a given percentile. Make an appropriate graph to determine if a distribution is bell-shaped. Use the 68-95-99.7 rule to assess Normality of a data set. Interpret a Normal probability plot Suggested Homework 5, 7, 9, 11, 13, 15 19, 21, 23, 31, 33-38 41, 43, 45, 47, 49, 51 53, 55, 57, 59 63, 65, 66, 68, 69-74 Chapter 2 Review Exercises 39R, 40R, 75R, 76R Chapter 3 Day Objectives: Students will be able to … Topics Suggested homework 1 Chapter 3 Introduction Activity: CSI Stats 3.1 Explanatory and response variables 3.1 Displaying relationships: scatterplots 3.1 Interpreting scatterplots 2 3.1 Measuring linear association: correlation 3.1 Facts about correlation 3 3.2 Least-squares regression 3.2 Interpreting a regression line 3.2 Prediction 4 3.2 Residuals and the leastsquares regression line 3.2 Calculating the equation of the least-squares regression line 5 3.2 How well the line fits the data: residual plots 3.2 How well the line fits the data: the role of r2 in regression 6 3.2 Interpreting computer regression output 3.2 Correlation and regression wisdom 7 Chapter 3 Review 8 Chapter 3 Test Describe why it is important to investigate relationships between variables. Identify explanatory and response variables in situations where one variable helps to explain or influences the other. Make a scatterplot to display the relationship between two quantitative variables. Describe the direction, form, and strength of the overall pattern of a scatterplot. Recognize outliers in a scatterplot. Know the basic properties of correlation. Calculate and interpret correlation. Explain how the correlation r is influenced by extreme observations. Interpret the slope and y intercept of a least-squares regression line. Use the least-squares regression line to predict y for a given x. Explain the dangers of extrapolation. Calculate and interpret residuals. Explain the concept of least squares. Use technology to find a least-squares regression line. Find the slope and intercept of the least-squares regression line from the means and standard deviations of x and y and their correlation. Construct and interpret residual plots to assess if a linear model is appropriate. Use the standard deviation of the residuals to assess how well the line fits the data. Use r2 to assess how well the line fits the data. Identify the equation of a least-squares regression line from computer output. Explain why association doesn’t imply causation. Recognize how the slope, y intercept, standard deviation of the residuals, and r2 are influenced by extreme observations. 1, 5, 7, 11, 13 14–18, 21, 26 27–32, 35, 37, 39, 41 43, 45, 47, 53 49, 54, 56, 58– 61 63, 65, 68, 69, 71–78 Chapter Review Exercises 33R, 34R, 79R, 80R, 81R Chapter 4 Day Objectives: Students will be able to… Topics 1 4.1 Introduction, Sampling and Surveys, How to Sample Badly, How to Sample Well: Random Samples 2 4.1 Other Sampling Methods 3 4.1 Inference for Sampling, Sample Surveys: What Can Go Wrong? 4 4.2 Observational Studies vs. Experiments, The Language of Experiments, How to Experiment Badly 5 4.2 How to Experiment Well, Three Principles of Experimental Design 6 4.2 Experiments: What Can Go Wrong? Inference for Experiments 7 8 9 4.2 Blocking, Matched Pairs Design 4.3 Scope of Inference, the Challenges of Establishing Causation 4.2 Class Experiments or 4.3 Data Ethics* (*optional topic) 10 Chapter 4 Review 11 Chapter 4 Test Identify the population and sample in a sample survey. Identify voluntary response samples and convenience samples. Explain how these bad sampling methods can lead to bias. Describe how to use Table D to select a simple random sample (SRS). Distinguish a simple random sample from a stratified random sample or cluster sample. Give advantages and disadvantages of each sampling method. Explain how undercoverage, nonresponse, and question wording can lead to bias in a sample survey. Distinguish between an observational study and an experiment. Explain how a lurking variable in an observational study can lead to confounding. Identify the experimental units or subjects, explanatory variables (factors), treatments, and response variables in an experiment. Describe a completely randomized design for an experiment. Explain why random assignment is an important experimental design principle. Describe how to avoid the placebo effect in an experiment. Explain the meaning and the purpose of blinding in an experiment. Explain in context what “statistically significant” means. Distinguish between a completely randomized design and a randomized block design. Know when a matched pairs experimental design is appropriate and how to implement such a design. Determine the scope of inference for a statistical study. Evaluate whether a statistical study has been carried out in an ethical manner. Suggested Homework 1, 3, 5, 7, 9, 11 17, 19, 21, 23, 25 27, 28, 29, 31, 33, 35 37-42, 45, 47, 49, 51, 53 57, 63, 65, 67 69, 71, 73, 75* (*We will analyze this data again in an Activity in chapter 10) 77, 79, 81, 85, 91-98, 102-108 55, 83, 87, 89 Chapter 4 Review Exercises Cumulative AP Practice Test 1 Chapter 5 Day Objectives: Students will be able to… Topics 1 5.1 Introduction, The Idea of Probability, Myths about Randomness 2 5.1 Simulation 3 5.2 Probability Models, Basic Rules of Probability 4 5.2 Two-Way Tables and Probability, Venn Diagrams and Probability 5 5.3 What is Conditional Probability?, Conditional Probability and Independence, Tree Diagrams and the General Multiplication Rule 6 5.3 Independence: A Special Multiplication Rule, Calculating Conditional Probabilities 7 Review 8 Chapter 5 Test Interpret probability as a long-run relative frequency. Use simulation to model chance behavior. Describe a probability model for a chance process. Use basic probability rules, including the complement rule and the addition rule for mutually exclusive events. Use a Venn diagram to model a chance process involving two events. Use the general addition rule to calculate P(A B) When appropriate, use a tree diagram to describe chance behavior. Use the general multiplication rule to solve probability questions. Determine whether two events are independent. Find the probability that an event occurs using a two-way table. When appropriate, use the multiplication rule for independent events to compute probabilities. Compute conditional probabilities. Suggested Homework 1, 3, 7, 9, 11 15, 17, 19, 23, 25 27, 31, 32, 43, 45, 47 29, 33-36, 49, 51, 53, 55 57-60, 63, 65, 67, 69, 73, 77, 79 83, 85, 87, 91, 93, 95, 97, 99 Chapter 5 Review Problems 61R, 62R, 107R, 108R, 109R Chapter 6 Day Objectives: Students will be able to… Topics 1 2 Chapter 6 Introduction, 6.1 Discrete random Variables, Mean (Expected Value) of a Discrete Random Variable 6.1 Standard Deviation (and Variance) of a Discrete Random Variable, Continuous Random Variables 3 6.2 Linear Transformations 4 6.2 Combining Random Variables, Combining Normal Random Variables 5 6.3 Binomial Settings and Binomial Random Variables, Binomial Probabilities 6 6.3 Mean and Standard Deviation of a Binomial Distribution, Binomial Distributions in Statistical Sampling 7 6.3 Geometric Random Variables 8 Chapter 6 Review 9 Chapter 6 Test Use a probability distribution to answer questions about possible values of a random variable. Calculate the mean of a discrete random variable. Interpret the mean of a random variable. Calculate the standard deviation of a discrete random variable. Interpret the standard deviation of a random variable. Describe the effects of transforming a random variable by adding or subtracting a constant and multiplying or dividing by a constant. Find the mean and standard deviation of the sum or difference of independent random variables. Determine whether two random variables are independent. Find probabilities involving the sum or difference of independent Normal random variables. Determine whether the conditions for a binomial random variable are met. Compute and interpret probabilities involving binomial distributions. Calculate the mean and standard deviation of a binomial random variable. Interpret these values in context. Find probabilities involving geometric random variables. Suggested Homework 1, 5, 7, 9, 13 14, 18, 19, 23, 25 27-30, 37, 3941, 43, 45 49, 51, 57-59, 63 61, 65, 66, 69, 71, 73, 75, 77 79, 81, 83, 85, 87, 89 93, 95, 97, 99, 101-103 Chapter 6 Review Exercises 31R-34R Chapter 7 Day 1 Objectives: Students will be able to… Topics Introduction: German Tank Problem, 7.1 Parameters and Statistics Distinguish between a parameter and a statistic. Understand the definition of a sampling distribution. Distinguish between population distribution, sampling distribution, and the distribution of sample data. Determine whether a statistic is an unbiased estimator of a population parameter. Understand the relationship between sample size and the variability of an estimator. Find the mean and standard deviation of the sampling distribution of a sample proportion p̂ for an SRS of size n from a population having proportion p of successes. Check whether the 10% and Normal conditions are met in a given setting. Use Normal approximation to calculate probabilities involving p̂ . 2 7.1 Sampling Variability, Describing Sampling Distributions 3 7.2 The Sampling Distribution of p̂ , Using the Normal Approximation for p̂ , 4 7.3 The Sampling Distribution of x : Mean and Standard Deviation, Sampling from a Normal Population 5 7.3 The Central Limit Theorem 6 Chapter 7 Review 7 Chapter 7 Test Use the sampling distribution of p̂ to evaluate a claim about a population proportion. Find the mean and standard deviation of the sampling distribution of a sample mean x from an SRS of size n. Calculate probabilities involving a sample mean x when the population distribution is Normal. Explain how the shape of the sampling distribution of x is related to the shape of the population distribution. Use the central limit theorem to help find probabilities involving a sample mean x . Suggested Homework 1, 3, 5, 7 9, 11, 13, 17-20 21-24, 27, 29, 33, 35, 37, 41 43-46, 49, 51, 53, 55 57, 59, 61, 63, 65-68 Chapter 7 Review Exercises Cumulative AP Practice Test 2 Chapter 8 Day Topics 1 8.1 The Idea of a Confidence Interval, Interpreting Confidence Levels and Confidence Intervals, Constructing a Confidence Interval Objectives: Students will be able to: Interpret a confidence level. Interpret a confidence interval in context. Understand that a confidence interval gives a range of plausible values for the parameter. Understand why each of the three inference conditions—Random, Normal, and Independent—is important. Explain how practical issues like nonresponse, undercoverage, and response bias can affect the interpretation of a confidence interval. Construct and interpret a confidence interval for a population proportion. Determine critical values for calculating a confidence interval using a table or your calculator. Carry out the steps in constructing a confidence interval for a population proportion: define the parameter; check conditions; perform calculations; interpret results in context. Determine the sample size required to obtain a level C confidence interval for a population proportion with a specified margin of error. Understand how the margin of error of a confidence interval changes with the sample size and the level of confidence C. Understand why each of the three inference conditions—Random, Normal, and Independent—is important. Construct and interpret a confidence interval for a population mean. Determine the sample size required to obtain a level C confidence interval for a population mean with a specified margin of error. Carry out the steps in constructing a confidence interval for a population mean: define the parameter; check conditions; perform calculations; interpret results in context. Understand why each of the three inference conditions—Random, Normal, and Independent—is important. 2 8.1 Using Confidence Intervals Wisely, 8.2 Conditions for Estimating p, Constructing a Confidence Interval for p 3 8.2 Putting It All Together: The Four-Step Process, Choosing the Sample Size 4 8.3 When Is Known: The One-Sample z Interval for a Population Mean, When Is Unknown: The t Distributions, Constructing a Confidence Interval for 5 8.3 Using t Procedures Wisely 6 Chapter 8 Review 7 Chapter 8 Test Determine sample statistics from a confidence interval. Suggested homework 5, 7, 9, 11, 13 17, 19–24, 27, 31, 33 35, 37, 41, 43, 47 49–52, 55, 57, 59, 63 65, 67, 71, 73, 75–78 Chapter 8 Review Exercises 79 R, 80R Chapter 9 Day 1 2 Objectives: Students will be able to: Topics 9.1 The Reasoning of Significance Tests, Stating Hypotheses, Interpreting P-values, Statistical Significance 9.1 Type I and Type II Errors, Planning Studies: The Power of a Statistical Test 3 9.2 Carrying Out a Significance Test, The One-Sample z Test for a Proportion 4 9.2 Two-Sided Tests, Why Confidence Intervals Give More Information 5 9.3 Carrying Out a Significance Test for , The One Sample t Test, Two-Sided Tests and Confidence Intervals 6 9.3 Inference for Means: Paired Data, Using Tests Wisely 7 Chapter 9 Review 8 Chapter 9 Test State correct hypotheses for a significance test about a population proportion or mean. Interpret P-values in context. Interpret a Type I error and a Type II error in context, and give the consequences of each. Understand the relationship between the significance level of a test, P(Type II error), and power. Check conditions for carrying out a test about a population proportion. If conditions are met, conduct a significance test about a population proportion. Use a confidence interval to draw a conclusion for a two-sided test about a population proportion. Check conditions for carrying out a test about a population mean. If conditions are met, conduct a onesample t test about a population mean . Use a confidence interval to draw a conclusion for a two-sided test about a population mean. Recognize paired data and use onesample t procedures to perform significance tests for such data. Suggested homework 1, 3, 5, 7, 9, 11, 13 15, 19, 21, 23, 25 27–30, 41, 43, 45 47, 49, 51, 53, 55 57–60, 71, 73 75, 77, 89, 94– 97, 99–104 Chapter 9 Review Exercises 105 R -108R Chapter 10 Objectives: Students will be able to… Day Topics 1 Activity: Is Yawning Contagious?, 10.1 The Sampling Distribution of a Difference Between Two Proportions 2 10.1 Confidence Intervals for p1 – p2 Describe the characteristics of the ˆ1 pˆ 2 sampling distribution of p Calculate probabilities using the ˆ1 pˆ 2 sampling distribution of p Determine whether the conditions for performing inference are met. Construct and interpret a confidence interval to compare two proportions. Perform a significance test to compare two proportions. Interpret the results of inference procedures in a randomized experiment. Describe the characteristics of the sampling distribution of x1 x2 3 10.1 Significance Tests for p1 – p2, Inference for Experiments 4 10.2 Activity: Does Polyester Decay?, The Sampling Distribution of a Difference Between Two Means Calculate probabilities using the sampling distribution of x1 x2 Determine whether the conditions for performing inference are met. Use two-sample t procedures to compare two means based on summary statistics. Use two-sample t procedures to compare two means from raw data. Interpret standard computer output for two-sample t procedures. Perform a significance test to compare two means. Check conditions for using twosample t procedures in a randomized experiment. Interpret the results of inference procedures in a randomized experiment. Determine the proper inference procedure to use in a given setting. 5 10.2 The Two-Sample t-Statistic, Confidence Intervals for 1 2 6 10.2 Significance Tests for 1 2 , Using Two-Sample t Procedures Wisely 7 Chapter 10 Review 8 Chapter 10 Test Suggested Homework 1, 3, 5 7, 9, 11, 13 15, 17, 21, 23 29-32, 35, 37, 57 39, 41, 43, 45 51, 53, 59, 65, 6770 Chapter 10 Review Exercises Cumulative AP Practice Test 3 Chapter 11 Day Topics 1 Activity: The Candy Man Can, 11.1 Comparing Observed and Expected Counts: The ChiSquare Statistic, The Chi-Square Distributions and P-values Objectives: Students will be able to… 2 11.1 The Chi-Square Goodness-of-Fit Test, Follow-Up Analysis 3 11.2 Comparing Distributions of a Categorical Variable, Expected Counts and the Chi-Square Statistic, The Chi-Square Test for Homogeneity, Follow-Up Analysis, Comparing Several Proportions 4 11.2 The Chi-Square Test of Association/Independence, Using Chi-Square Tests Wisely 5 Chapter 11 Review 6 Chapter 11 Test Know how to compute expected counts, conditional distributions, and contributions to the chi-square statistic. Check the Random, Large sample size, and Independent conditions before performing a chi-square test. Use a chi-square goodness-of-fit test to determine whether sample data are consistent with a specified distribution of a categorical variable. Examine individual components of the chi-square statistic as part of a follow-up analysis. Check the Random, Large sample size, and Independent conditions before performing a chi-square test. Use a chi-square test for homogeneity to determine whether the distribution of a categorical variable differs for several populations or treatments. Interpret computer output for a chisquare test based on a two-way table. Examine individual components of the chi-square statistic as part of a follow-up analysis. Show that the two-sample z test for comparing two proportions and the chi-square test for a 2-by-2 two-way table give equivalent results. Check the Random, Large sample size, and Independent conditions before performing a chi-square test. Use a chi-square test of association/independence to determine whether there is convincing evidence of an association between two categorical variables. Interpret computer output for a chisquare test based on a two-way table. Examine individual components of the chi-square statistic as part of a follow-up analysis. Distinguish between the three types of chi-square tests. Suggested Homework 1, 3, 5 7, 9, 11, 17 19-22, 27, 29, 31, 33, 35, 43 45, 49, 51, 53-58 Chapter 11 Review Exercises 59R, 60R Chapter 12 Day Topics 1 Activity: The Helicopter Experiment, 12.1 The Sampling Distribution of b, Conditions for Regression Inference Objectives: Students will be able to… 2 12.1 Estimating Parameters, Constructing a Confidence Interval for the Slope 3 12.1 Performing a Significance Test for the Slope 4 12.2 Transforming with Powers and Roots 5 12.2 Transforming with Logarithms 6 Chapter 12 Review 7 Chapter 12 Test Check conditions for performing inference about the slope of the population regression line. Interpret computer output from a leastsquares regression analysis. Construct and interpret a confidence interval for the slope of the population regression line. Perform a significance test about the slope of a population regression line. Use transformations involving powers and roots to achieve linearity for a relationship between two variables. Make predictions from a least-squares regression line involving transformed data. Use transformations involving logarithms to achieve linearity for a relationship between two variables. Make predictions from a least-squares regression line involving transformed data. Determine which of several transformations does a better job of producing a linear relationship. Suggested Homework 1, 3 5, 7, 9, 11 13, 15, 17, 19 21-26, 33, 35 37, 39, 41, 45-48 Chapter 12 Review Exercises Cumulative AP Practice Test 4