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Math 227, Statistics Fall 2008 Section 0282 Mc Gann Text: A Brief Version of Elementary Statistics, Allan G. Bluman – 4th Ed. Room: Math Center Days: Tuesdays and Thursdays Time: 1:30 pm to 3:35 pm Attendance: This is a difficult class. Attendance at every session is essential for success. Homework: Homework assignments and computer projects will be given on a regular basis. You are responsible for completing these assignments in a timely manner. Grades: Grades are based on Chapter tests, quizzes, Minitab exercises and a final exam. There will be four exams, each worth 20 points. You may elect to drop or not take one exam. Quizzes and Minitab exercises are worth 15% and the final exam is worth 25%. Note: There will be no make up exams, quizzes or computer assignments. Minitab: This course will include an introduction to the use of Minitab. We will complete a Minitab assignment for each chapter. Ability to use Minitab will be part of your final grade. Calculator: A quality calculator is essential for this course. See me before you buy one. Tutoring: Free tutoring is available at the Math Center and the Mathematics Lab. Office hours: My office hours are from 11:30 am to 12:00 noon and from 12:30 pm to 1:30 pm in the Math Center. My e-mail is [email protected]. A phone number will be available at a later date. Learning Outcomes for Math 227 1) Classify branches of statistics, identify sources of data, evaluate sampling methodolgies. 2) Construct pie charts, bar graphs and histograms, calculate central measures; calculate the five numbers summary, calculate standard deviation. 3) Calculate probabilities, define random variables, calculate the mean and standard deviation of binomial variables, calculate probabilties using the standard normal distribution tables. 4) Apply the Central limit Theorem to calculate means and proportions, calculate probabilities for the sampling distributions of the mean and proportion. 5) Use graphs to determine the shape of parent distributions and estimate the central measures of populations. 6) Calculate confidence intervals, calculate sample size for means and sample proportions. 7) Define and test hypotheses for the mean and proportion, apply the z- and t-tests in hypotheses testing, calculate p-values. 8) Compare two proportions or two means and draw appropriate conclusions, construct confidence intervals for two sample means and two sample proportions. 9) Calculate the correlation coefficient, determine the regression line. Imprtant Dates: Monday, Sept. 1 Tuesday, Sep. 2 Friday, Sep. 12 Friday, Sep. 26 Friday, Nov. 7 Monday, Nov. 10 Friday, Nov. 21 Thursday Nov. 27-30 Saturday, Dec. 13 Sunday, Dec. 14-20 Labor Day Holiday, college closed Classes begin Last day to add classes Last day to drop classes without “W” Last day for section transfers Veterans Day, college closed Last day to drop with a “W” Thanksgiving Holiday, college closed Classes end Final exams week FINAL EXAM TIME: Tuesday Dec. 16, 3:00 – 5:00 pm The following is a tentative schedule but may be adjusted as needed. Topics to be Covered Sections from Text Dates Taught Computer Lab Sept. 2, 4 Frequency Distribution and Graphs: organizing data; graphs for categorical data; graphs for grouped frequency distributions; stem and leaf plots. Chapter 2 Sections 2-1 to 2-6 Quiz #1 Sept. 2, 4, 9,11 Data Description: measures of central tendency; measures of variation; Chebyshev’s Theorem; Empirical Rule; measures of position; the five- number summary and boxplots. Chapter 3 Sections 3-1 to 3-6 Sept. 16, 18, 23 Introduction to MINITAB Test #1 Probability and Counting Rules: sample spaces and probability; complements; the addition rules; the multiplication rules and conditional probability; counting rules. Chapter 4Sections 4-1 to 4-7 Quiz #2 Sept. 25, 30 Discrete Probability Distributions: discrete random variables; probability distributions; mean, standard deviation, and expectation; binomial distribution. The Normal Distributions: standard normal; nonstandard normal; finding scores when given probabilities; applications; the Central Limit theorem; the normal approximation to the Confidence Intervals and Sample Size (single parameter): mean; proportion. Chapter 5 Sections 5-1 to 5-5 Oct. 2, 7, 9 Test #2 Chapter 6 Sections 6-1 to 6-7 Quiz #3 Chapter 7 Sections 7-1 to 7-4, 7-6 skip 7-5 Oct. 14, 16, 21, 23 Oct. 28, 30, Nov. 4 Test #3 Hypothesis Testing (single parameter): mean; proportion; z-test; t-test; p-value method. Chapter 8Sections 8-1 to 8-5, 8-8 (skip 8-6 & 8-7) Quiz #4 Nov. 6, 11, 13, 18 Correlation and Regression: use Minitab, Megastat, or excel to find the linear correlation and linear regression equation. Chapter 10 Nov. 20, 25 Sections 10-1 to 10-3, 10-5 (skip 10-4) Test #4 Review for Final Dec. 2, 4, 9, 11 Complete Computer Assignments Final Exam Dec. 16