# Elementary Statistics

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1 Elementary Statistics MATH Syllabus Instructor: Scott Tyson Office: TBA Office Hours: TBA Meeting time: TTH 2:50pm-4:05pm Room: SAC The Course 1.1 Course Description A first course in statistics for students in business; nursing; allied health; or the social, physical, or behavioral sciences; or for any student requiring knowledge of the fundamental procedures for data organization and analysis. Topics include frequency distributions, graphing, measures of location and variation, the binomial and normal distributions, z-scores, t-test, chi-square test, F-test, hypothesis testing, analysis of variance, regression, and correlation. Skills: S Prerequisites: A satisfactory score on the ACC Mathematics Assessment Test. A second option is an appropriate secondary school course (Algebra II) and completion of any TSI-mandated mathematics remediation. Note: Texas State University recently changed their Transfer Guide to show that MATH 1342 is no longer considered equivalent to their QMST 2333 (Quantitative Methods). ACC s BUSG 2371 is the correct equivalent to that course, which is needed for most majors in business. 1.2 Prerequisites Students who satisfied the TSI math requirement by passing the THEA, COMPASS, or ASSET, or by ACC courses have satisfied the math prerequisite requirement for this course. Students should also have college-level reading skills. A student who is exempt from TSI or satisfied the TSI requirement in another way must also pass one of those tests unless she has passed high school Algebra II to satisfy the prerequisite. The new MATD 0385 (offered first in Fall 2009) is specifically designed to prepare students for 1332, 1333, and

2 Students in MATH 1342 will be expected to: 1. understand material from the text after reading it. 2. do homework using fairly complicated formulas after seeing one example 3. do some, but not much, algebraic manipulation of formulas 1.3 Course Rationale Students will learn to 1. Determine the aspects of a question, if any, for which statistics can provide relevant information. 2. Analyze statistical studies, particularly regarding appropriate sampling and experimental design. 3. Select and use appropriate statistical analyses to get useful information from data. 4. Communicate knowledge using standard statistical language and also interpret it in non-technical language. This course meets the Core Curriculum requirement in mathematics. It meets the requirement for an introductory statistics course for students in many majors such as business, health sciences, and social sciences. 1.4 Course Objectives Overall Learning Outcomes: 1. Determine the aspects of a question, if any, for which statistics can provide relevant information. 2. Analyze statistical studies, particularly regarding appropriate sampling and experimental design. 3. Select and use appropriate statistical analyses to obtain useful information from data. 4. Communicate knowledge using standard statistical language and also interpret it in non-technical language. 2

3 Specific topics included are: 1. Interpret ideas of population versus sample, random variables, and techniques of descriptive statistics including frequency distributions, histograms, stem and leaf plots, boxplots, and scatterplots. 2. Calculate and interpret measures of central tendency and dispersion, including mean, median, standard deviation, and quartiles. 3. Apply the rule to normal distributions and use the normal tables to answer questions about the proportion of scores in a certain range or find various percentiles. 4. Analyze relationships between two quantitative variables using correlation and linear regression. Analyze residual plots and determine how to handle outliers and influential points. 5. Analyze data presented in two-way and three-way tables to provide information about relationships between categorical variables, including understanding and interpreting situations to which Simpson s Paradox applies. 6. Apply ideas of appropriate sampling techniques and experimental design to data production. 7. Use the basic ideas of probability and apply them to statistics. 8. Use the sampling distributions of sample proportions and sample means to answer appropriate questions. 9. Estimate single means, difference of two means, single proportions and difference of two proportions using confidence intervals. Interpret the results. 10. Demonstrate skills in hypothesis testing for means and proportions, for single populations and comparison of two populations. 11. Demonstrate skills in hypothesis testing using the chi-squared test to compare several proportions and to test independence. 12. Demonstrate skills in inference for regression or ANOVA techniques. Throughout the course, students will learn to do almost all the calculations by hand with a scientific calculator on small data sets and also students will 3

7 6.2 Missed Exams There are two types of missed exam situations: 1. (Advance Notice) If a student will miss an exam and gives advance notice I will place an exam in the testing center for the student to take. The exam may or may not be the same exam that will be given at the scheduled time in class. 2. (Non-advance Notice) If a student misses an exam and can provide documentation, e.g. doctor s note etc., that the absence was due to a legitimate and unavoidable dilemna, an exam will be placed in the testing center for the student to take. The exam may or may not be the same exam that will be given at the scheduled time in class. 6.3 Late Work No late work will be accepted. 6.4 Withdrawals It is the student s responsibility to initiate all withdrawals in this course. The instructor may withdraw students for excessive absences (4) but makes no commitment to do this for the student. After the withdrawal date, neither the student nor the instructor may initiate a withdrawal. The last day to withdraw is November 23, Reinstatement Policy In order to be reinstated, the student must demonstrate that he is caught up with the required work as of the date on which he wishes to be reinstated. This must be done before the official last date to withdraw for the semester. 6.6 Incomplete Grade Policy Incomplete grades (I) will be given only in very rare circumstances. Generally, to receive a grade of I, a student must have taken all examinations, be passing, and after the last date to withdraw, have a 7

8 personal tragedy occur which prevents course completion. 6.7 Scholastic Dishonesty Acts prohibited by the college for which discipline may be administered include scholastic dishonesty, including but not limited to, cheating on an exam or quiz, plagiarizing, and unauthorized collaboration with another in preparing outside work. Academic work submitted by students shall be the result of their thought, work, research or selfexpression. Academic work is defined as, but not limited to, tests, quizzes, whether taken electronically or on paper; projects, either individual or group; classroom presentations; and homework. Students who violate the rules concerning scholastic dishonesty will be assessed an academic penalty that the instructor determines is in keeping with the seriousness of the offense. This academic penalty may range from a grade penalty on the particular assignment to an overall grade penalty in the course, including possibly an F in the course. ACC s policy can be found in the Student Handbook under Policies and Procedures or on the web at: Student Discipline Classroom behavior should support and enhance learning. Behavior that disrupts the learning process will be dealt with appropriately, which may include having the student leave class for the rest of that day. In serious cases, disruptive behavior may lead to a student being withdrawn from the class. ACC s policy on student discipline can be found in the Student Handbook under Policies and Procedures or on the web at: Students with Disabilities Each ACC campus offers support services for students with documented physical or psychological disabilities. Students with disabilities must request reasonable accommodations through the Office of Students with Disabilities on the campus where they expect to take 8

9 the majority of their classes. Students are encouraged to do this three weeks before the start of the semester. Students who are requesting accommodation must provide the instructor with a letter of accommodation from the Office of Students with Disabilities (OSD) at the beginning of the semester. Accommodations can only be made after the instructor receives the letter of accommodation from OSD Academic Freedom Institutions of higher education are conducted for the common good. The common good depends upon a search for truth and upon free expression. In this course the professor and students shall strive to protect free inquiry and the open exchange of facts, ideas, and opinions. Students are free to take exception to views offered in this course and to reserve judgment about debatable issues. Grades will not be affected by personal views. With this freedom comes the responsibility of civility and a respect for a diversity of ideas and opinions. This means that students must take turns speaking, listen to others speak without interruption, and refrain from name-calling or other personal attacks. 7 Course Outline The tentative schedule is as follows giving a rough and incomplete description of the topic and the chapter in the textbook corresponding to the topic. 9

10 Topic Chapter Preliminaries 1&2 Normal Distributions 3 Scatterplots and Correlation 4 Regression 5 Two-way tables 6 Data 7 Sampling 8 Experiments 9 Data Ethics - Probability 10 Sampling Distributions 11 Inference 14,15, & 16 Inference about Populations 17 Two-Sample Problems 18 Population Proportions 19 Comparing two Proportions 20 Inference review 21 The Chi-Square Test 22 Inference for Regression 23 10

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