Course Outline & Timeline Statistics Mr. Jordan Roy, Instructor Course Philosophy – This course is a traditional representation of introductory statistics. The goal will be to introduce students to the different topics associated with a classic statistics course with emphasis on algebraic applications. The daily completion of readings and homework problems will be essential and required. Students will be taught proper techniques in calculating values, reviewing data, and preparing data charts. Finally, it is my hope that the course will be interesting, relevant, and challenging. I will do all I can to assist, be available for, and offer encouragement to you. United in an unwavering commitment to mathematic excellence, we will succeed. Course Outline – Third Quarter Course Outline – Fourth Quarter Introduction to Statistics Descriptive Statistics Probability Discrete Probability Distributions Normal Probability Distributions Confidence Intervals Hypothesis Testing with One and Two Samples Correlation and Regression Chi-Squared Tests and F-Distribution Grades Grading Policy & Scale Grade Opportunities 100 – 93 92 – 86 85 – 78 77 – 70 69 – 0 Homework Tests Exam A B C D F 15% 50% 35% Homework: Students will have homework most every day to complete. This homework will be a combination of problem - solving from the textbook and other prepared problems from outside sources. There will be usually 10 - 15 problems to complete each day. Students are also expected to do the reading and review of text material as a chapter is begun. Successful completion of the homework is a major indicator of understanding and the student’s ability to keep up with the class. Completed solutions for all problems will be provided to the student with a few being demonstrated in class for clarification on concepts and techniques. Class time will not be given to demonstrate all solutions. Students are encouraged to frequently visit Mr. Roy’s website for additional information on assignments and presentations. Tests: Testing will mirror the material presented in class. Testing will include free - response problems and objective testing. Tests are to be completed within the timeframe of the class period. Exam: An exam will be given at the end of each quarter that will comprise 35% of the grade. The second and fourth quarter exams will be cumulative to their respective semesters with emphasis on the material cover in the later quarter. Make-up Work: The course will follow the policy stated in the Student-Parent Handbook as it pertains to homework, tests, quizzes, and exams. Make-up work will always be scheduled for a time outside of class. Students will be expected to come either before or after school according to a schedule offered by the instructor to make up the work. Homework that is late beyond the 5-day limit will be scored as a 0 and will not be available for make-up. Additionally, the work will be made up after school with the teacher. The student will be required to come each afternoon until all work has been completed. Bonus Work: This course has many opportunities for students to demonstrate their competence and skill. Therefore, students are encouraged to make the most of each opportunity that is provided. The teacher will assign bonus work each quarter. No other opportunities will be made available. Classroom Decorum: Conduct of a student is a choice and a statement of personal self-discipline. Students are to enter the class quietly and in an orderly fashion and to prepare themselves for the start of class by having all materials out and ready for when the class begins. Students are expected to stand and display reverence as the prayer is offered to start the class. Students are expected to be respectful in times of discussion/presentation by not talking while others are speaking. Courtesy and manners are to be extended to everyone in the class. Tardiness for class without written validation will result in detention and for subsequent tardies, detention time will be increased. Continued tardies, will result in referral to the Dean of Discipline’s office. Other policies of conduct and dress code/grooming will be enforced according school policy. Finally, students are to not leave their desks without permission of the teacher. Students who find themselves in contradiction to these expectations will be given disciplinary measures by the teacher to re-establish a productive and positive outlook for them with the teacher and the class. Note-taking and interaction with the teacher to ensure mastery of the material is expected and in the absence of this, pop quizzes and notebook checks may occur. Learning is not a passive event nor can it be accomplished without the student’s best effort daily. Availability: Students are invited to seek additional help or assistance outside of class on Monday, Tuesday, or Thursday mornings from 7:20 – 7:50 a.m. and on Wednesday afternoons fro 3:40 – 4:30 p.m. I can also be reached by email at jroy@ststan.com and voicemail at extension 561. Final Thoughts: This course is intended for students who have a desire to study statistics in preparation for the remainder of their high school math coursework and hopefully, college level study. Remember that, if you are faithful with your reading, studying, and completion of your homework, you will learn statistics! I am committed as your teacher to giving you all that you need to be successful. I encourage you to seek additional help outside of class after school as needed. Materials List: Pencils/Mechanical Pencils (no ink should be used on submitted assignments/tests) Scientific Calculator (TI -83 or TI – 84 is fine) 1.5” binder with college-ruled loose leaf paper Graph paper Statistics Skill Set Chapter 1 a) b) c) d) e) f) Distinguish between a population and a sample Differentiate between a parameter and a statistics Differentiate between descriptive and inferential statistics Differentiate between qualitative and quantitative data Demonstrate understanding of data classification based on levels of measurement Demonstrate understanding of how data is collected using experimentation and sampling Chapter 2 a) b) c) d) e) f) Construct a frequency distribution Construct a frequency histogram Graph quantitative data sets using stem-leaf plots & dot plots Graph and interpret paired data using scatter plots & dot plots Graph quantitative data using pie and Pareto charts Solve for mean, mode, and median of a population and a sample g) h) i) j) k) l) m) n) o) p) Find a weighted mean of a data set and the mean of a frequency distribution Use shape of distribution curve to make comparisons of mean and median Find the range of a data set Find the variance and the standard deviation of a population and sample Use the Empirical Rule and Chebychev’s Theorem to interpret standard deviation Approximate the sample standard deviation Find quartile and inter-quartile range of a data set Draw box-and-whisker plot Interpret other fractiles as percentiles Find and interpret standard scores Chapter 3 a) b) c) d) e) f) g) h) i) j) k) Identify the sample space of a probability experiment Use the Fundamental Counting Principle to determine event frequency Distinguish between classical, empirical, and objective probability Solve for probability of a complement of an event Solve for conditional probabilities Distinguish between independent and dependent events Use the Multiplication Rule to find probability of two events occurring in sequence Determine if two events are mutually exclusive Use the Addition Rule to find the probability of two events Grouping methods to select objects that may /may not be affected by order Use counting principles to find probabilities Chapter 4 a) b) c) d) e) f) g) h) i) Distinguish between discrete and continuous random variables Determine if a distribution is a probability distribution Construct a discrete probability distribution to find mean, variance, and standard deviation Find the expected value of a discrete probability distribution Determine if a probability experiment is a binomial experiment Use the binomial probability formula and table Construct a binomial distribution to find the mean, variance, and standard deviation Find probabilities using the geometric distribution Find probabilities using the Poisson distribution Chapter 5 a) b) c) d) e) f) g) h) i) j) Interpret graphs of normal probability distributions Solve for & interpret z-scores Find areas below a standard normal curve Find probabilities for normally distributed variables Find a z-score using area below the normal curve Transform a z-score to an x-score Find a specific data value of a normal distribution given the probability Find sampling distributions and verify their properties Interpret the Central Limit Theorem Apply the Central Limit Theorem to find the probability of a sample mean Chapter 6 a) b) c) d) e) f) g) Find a point estimate and margin of error Construct and interpret confidence intervals for the population mean Determine the minimum size required when estimating Interpret and use a t-distribution table Construct confidence intervals for small samples with a normal distribution Find a point estimate for the population proportion Construct a confidence interval for a population proportion h) Determine the minimum sample size required to estimate a population proportion i) Interpret chi-square distribution data and use a chi-distribution table j) Use a chi-square distribution to construct a confidence interval for the variance and standard deviation Chapter 8 a) b) c) d) e) Differentiate whether two samples are independent or dependent Perform a two-sample z-test for the difference between two means using large independent samples Perform a t-test for the difference between two population means using small independent samples Perform a t-test to test the mean of the differences for a population of paired data Perform a z-test for the difference between two population proportions Chapter 9 a) b) c) d) e) Construct a scatter plot Find a correlation coefficient Perform a hypothesis test for a population correlation coefficient Find the equation of a regression line, y = mx + b Predict y-values using a regression equation f) Find and interpret the coefficient of determination r2 g) Find and interpret the standard error of estimate for a regression line h) Construct and interpret a prediction interval Chapter 10 a) b) c) d) e) f) Use chi-square distribution to test whether a frequency distribution fits a claimed distribution Use a contingency table to find expected frequencies Use a chi-square distribution to test whether two variables are independent Interpret the F-distribution and use an F-table to find critical values Perform a two-sample F-test to compare two variances Use one-way analysis of variance to test claims involving three or more means