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ADVANCED PLACEMENT STATISTICS 2016-2017 Mr. Samuel Jennings [email protected] Course Overview: The purpose of the AP course in statistics is to introduce students to the major concepts and tools for collecting, analyzing and drawing conclusions from data. Students are exposed to four broad conceptual themes: 1. Exploring Data: Describing patterns and departures from patterns 2. Sampling and Experimentation: Planning and conducting a study 3. Anticipating Patterns: Exploring random phenomena using probability and simulation 4. Statistical Inference: Estimating population parameters and testing hypotheses Why am I in Statistics? AP Statistics is a college level class offered to high school students who have shown a mastery of Algebra II or Math III. It is run on the same level as a college course and the students are shown a much greater level of respect, individualism, and responsibility. For this reason, students can be removed from the class within the first ten days if they cannot perform up to expectations. The goal of this class is to earn college credit for an entry level Statistics course. All students are expected to take the AP exam in May. Materials - Three Ring Binder - Pencils and Pens Textbook - Dividers labeled Starter, Notes, Classwork, Homework, and Problem of the Week - Loose Leaf Paper - TI 83 or 84 Calculator(optional but HIGHLY recommended) The Practice of Statistics, 2nd ed. Yates, Daniel S., Moore, David S., and Starnes, Daren S. AP Statistics, 6th Edition: Barron’s. Rules/Procedures: 1. Be where you’re supposed to be, when you’re supposed to be there! - Be in the room before the bell rings – school wide tardy policy will be implemented in this class. - If you need to use the restroom, do so at an appropriate time during class. - If you get up for any reason, do it QUIETLY without distracting others. 2. Do what you’re supposed to do, when you’re supposed to do it! - Bring your notebook, pencil, and all assignments to class EVERY DAY. Please write in pencil. - Assignments are to be turned in when I ask for them – not at the end of the period or the end of the day. - Mark on your paper, not on the desks. - Cell phones are not allowed in class. They should not be seen or heard otherwise! - Student collaboration is important in this class, so listening to music on headphones will not be allowed. - Don’t pack up and stop working before the bell rings. - Grab your assigned calculator when entering the room unless directed differently. 3. Say what you’re supposed to say, how you’re supposed to say it! - It is your responsibility to ask for help when needed. Ask another student, Mr. J, or another math teacher! - Don’t talk while I’m talking or a classmate is talking – it is distracting to everyone else. 4. Respect yourself, Respect others and Respect the classroom environment. -Cheating is not tolerated. Students who are found cheating will receive a zero for the assignment A Note to Students I recognize that the expectations of this course are tremendous and the work at times may seem unfamiliar, difficult, and overwhelming. I understand the pressures and obstacles that you may face, but all you can do is try your best and keep up with the assignments. If you need guidance, please do not hesitate to ask; I am available for assistance at any time. You can catch me before and after school, reach me via email, or post a message on my website/edmodo. Edmodo Code is: creecw Grading: Brunswick County uses the ten point grading scale, which will be in effect in this classroom. There are no exceptions to this grading policy. Numerical Average 100-90 89 – 80 79 – 70 69 – 60 59 - below Letter Grade A B C D F I have broken down the value of work you will be expected to complete in this class as follows: Course Work Quizzes/POW Tests Homework/Problem Sets Percent of Final Grade 35% 60% 5% AP Course Credit – In order to receive AP weighted credit for the course on college transcripts, students must have an average of 80% B or higher AND take the AP Statistics exam in May. Failure to meet these requirements will result in honors credit for the course on the college transcript and a weight of honors towards the GPA. Classwork/Homework Students will be assigned several in class assignments. Students will receive homework in a variety of methods: Video Lectures, Problem Sets, Study Island, and Problems of the Week. Students are expected to complete assignments independently unless otherwise assigned. Utilizing other students work is considered plagiarizing. Tutoring/Office Hours Office Hours and tutoring will be offered before and after school any day by appointment. If you need extra help, please see me. Please don’t wait until it’s too late! I am always here to help! Makeup Work It is your responsibility to obtain any MAKEUP WORK. Any missed assignments will be in your classes’ notebook unless it is a Test or Quiz. Notes can be obtained from a trustworthy classmate. All MAKEUP WORK is to be turned in within FIVE days of an absence and will be a zero until completed. Please ATTACH a slip with any make-up work. NO Explanation or Work = NO CREDIT and NO NAME = ZERO NO LATE WORK IS ACCEPTED! AP Exam The AP exam is scheduled for Thursday, May 11th sometime after 12pm. My expectation is for every student to take and pass the AP exam and I will do everything in my power to achieve this goal. If there is an issue with being able to pay for the exam fee, let me know early in the year and we will find a way to remedy the situation. Final Project There will be a final project the AP exam that will cover the basics from every unit we covered this year. It will be outlined for you with a timeline to finish the project and will count as 25% of your semester grade. Course Outline I. Exploring Data: Describing patterns and departures from patterns 1. 2. 3. 4. 5. Constructing and interpreting graphical displays of distributions of univariate data (dotplot, stemplot, histogram, cumulative frequency plot) 1. Center and spread 2. Clusters and gaps 3. Outliers and other unusual features 4. Shape Summarizing distributions of univariate data 1. Measuring center: median, mean 2. Measuring spread: range, interquartile range, standard deviation 3. Measuring position: quartiles, percentiles, standardized scores (z-scores) 4. Using boxplots 5. The effect of changing units on summary measures Comparing distributions of univariate data (dotplots, back-to-back stemplots, parallel boxplots) 1. Comparing center and spread: within group, between group variation 2. Comparing clusters and gaps 3. Comparing outliers and other unusual features 4. Comparing shapes Exploring bivariate data 1. Analyzing patterns in scatterplots 2. Correlation and linearity 3. Least-squares regression line 4. Residual plots, outliers, and influential points 5. Transformations to achieve linearity: logarithmic and power transformations Exploring categorical data 1. Frequency tables and bar charts 2. Marginal and joint frequencies for two-way tables 3. Conditional relative frequencies and association 4. Comparing distributions using bar charts II. Sampling and Experimentation: Planning and conducting a study 1. 2. 3. Overview of methods of data collection 1. Census 2. Sample survey 3. Experiment 4. Observational study Planning and conducting surveys 1. Characteristics of a well-designed and well-conducted survey 2. Populations, samples, and random selection 3. Sources of bias in sampling and surveys 4. Sampling methods, including simple random sampling, stratified random sampling, and cluster sampling Planning and conducting experiments 1. Characteristics of a well-designed and well-conducted experiment 2. Treatments, control groups, experimental units, random assignments, and replication 4. 3. Sources of bias and confounding, including placebo effect and blinding 4. Completely randomized design 5. Randomized block design, including matched pairs design Generalizability of results and types of conclusions that can be drawn from observational studies, experiments, and surveys III. Anticipating Patterns: Exploring random phenomena using probability and simulation 1. 2. 3. 4. Probability 1. Interpreting probability, including long-run relative frequency interpretation 2. 'Law of Large Numbers' concept 3. Addition rule, multiplication rule, conditional probability, and independence 4. Discrete random variables and their probability distributions, including binomial and geometric 5. Simulation of random behavior and probability distributions 6. Mean (expected value) and standard deviation of a random variable, and linear transformation of a random variable Combining independent random variables 1. Notion of independence versus dependence 2. Mean and standard deviation for sums and differences of independent random variables The normal distribution 1. Properties of the normal distribution 2. Using tables of the normal distribution 3. The normal distribution as a model for measurements Sampling distributions 1. Sampling distribution of a sample proportion 2. Sampling distribution of a sample mean 3. Central Limit Theorem 4. Sampling distribution of a difference between two independent sample proportions 5. Sampling distribution of a difference between two independent sample means 6. Simulation of sampling distributions 7. t-distribution 8. Chi-square distribution IV. Statistical Inference: Estimating population parameters and testing hypotheses 1. Estimation (point estimators and confidence intervals) 1. Estimating population parameters and margins of error 2. Properties of point estimators, including unbiasedness and variability 3. Logic of confidence intervals, meaning of confidence level and confidence intervals, and properties of confidence intervals 4. Large sample confidence interval for a proportion 5. Large sample confidence interval for a difference between two proportions 6. Confidence interval for a mean 7. Confidence interval for a difference between two means (unpaired and paired) 8. Confidence interval for the slope of a least-squares regression line