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Math 3301.001.2168 Statistics - Fall 2016 Course Syllabus Instructor: Office: Phone: Email: Mylan Redfern, Ph.D. ST 2244 (432) 552-2260 [email protected] Class Time: MW 2:00-3:15 pm Room MB 2270 Textbook: Probability and Statistics, 9th edition, by Jay L. Devore Office Hours MTWTh 10:30-11:30 am or by appointment Course Goals: MATH 3301 introduces students to Statistics and Probability. Briefly, Statistics is the discipline of collecting information and Probability is a way to model the information in order to make predictions. In Statistics, we focus on methods for representing an accumulation of numerical data. In Probability, we begin with the axioms of a probabilistic model, consider how to build and interpret specific models, and end with a study of these models for a single continuous random variable. Prerequisite: Math 2414 – Calculus II Learning Outcomes: By the end of this course students will be able to calculate the mean, median, and variance for a list of numbers create histograms and stem and leaf tables calculate sums using properties of sigma notation calculate the size of a finite sample space using permutations and combinations calculate the probability of an event using permutations and combinations calculate conditional probabilities recognize and calculate conditional probabilities to solve an application calculate the expected value and variance of a discrete random variable using its probability mass function apply formulas for the Binomial Distribution in applications compute the expected value and variance of a continuous random variable using its probability density function use a table of values to calculate probabilities and solve problems for a normal distribution determine and interpret confidence intervals Attendance : Attendance will be taken. Grading: In this class you will have 3 tests and a final exam. Your course average will be determined according to the following weights: Test Average - 80 % Final Exam - 20 % Your course grade will be assigned based on your course average using the scale: 90 -100 = A; 80-89 = B, 70-79 = C; 60-69 = D; 0-59 = F No make-up work of any kind will be allowed, except as mandated by University policy – for example, representing UTPB at another function, and only when I have been given prior notice. There will be no makeup exams given in this course. If you miss a test for a valid reason, your score on the final exam will be used to fill in for the missed test. You must provide to me in writing the reason for missing the test. If you miss more than one test, a score of zero will be recorded for the second and subsequent missed tests. Resources: SMARTHINKING Online Tutoring: http://aa.utpb.edu/reach/smarthinking/ Useful Website: http://www.khanacademy.org/ University Policy on Disability: Students requesting classroom accommodations or modifications because of a documented disability should discuss this need with me at the beginning of the term. You must contact Leticia Madrid, Director of the PASS Office located in Mesa Building Room 1160, phone (432) 552-2631,email [email protected] prior to requesting accommodations. Course Schedule DATE TOPIC CHAPTER.SECTION Week 1 Populations, Samples, Processes Pictorial & Tabular Methods in Descriptive Statistics 1.1,1.2 Week 2 Pictorial & Tabular Methods in Descriptive Statistics Measures of Location 1.2,1.3 1.3,1.4 Week 3 Measures of Variability Sample Spaces and Events 1.4 2.1 Week 4 Axioms, Interpretations, Properties of Probability Axioms, Interpretations, Properties of Probability 2.2 2.2 Week 5 TEST 1 Counting Techniques 2.3 Week 6 Counting Techniques Conditional Probability 2.3 2.4 Week 7 Conditional Probability Independence 2.4 2.5 Week 8 Random Variables; Discrete Random Variables Probability Distributions for Discrete Random Variables 3.1,3.2 3.2 Week 9 TEST 2 Probability Distributions for Discrete Random Variables 3.2 Week 10 Expected Values for Discrete Random Variables Binomial Probability Distribution 3.3 3.4 Oct 28 WITHDRAWAL DEADLINE Week 11 Binomial Probability Distribution Continuous Random Variables and Probability Density Functions 3.4,4.1 4.1,4.2 Week 12 Cumulative Distribution Functions and Expected Values The Normal Distribution 4.2 4.3 Week 13 Distribution of the Sample Mean Test 3 5.4 Week 14 Confidence Intervals Thanksgiving Holiday 7.1 Week 15 Large Sample Confidence Intervals for a Population mean Large Sample Confidence Intervals for a Population mean 7.2 7.2 Week 16 Review Final Exam: 10:15am – 12:15 pm Cummulative Homework Problems Section 1.2 1.3 1.4 2.1 2.2 2.3 2.4 2.5 Problems # 11,15,17,19,21 #33,35,39,41 #45,47,49,50,51 #1,3,4,5,9 #11,12,13,15,18,19,25 #29,31,33,37,39,43 #45,49,51,53,56,59,67 #71,73,77,79,83,86 3.1 3.2 3.3 3.4 4.1 4.2 4.3 5.4 7.1 7.2 #1,5,7 #11,12,13,15,19,23 #29,31,33,35,37 #46,47,49,50,51,55,59,65 #1,3,5,7 (a,b,c) #11,13,15,19,23 #28,29,31,32,33,37,45,49 #46,47,49,53 #1,3,4,5,7 #13,14,15,16,17