MATH 3339 - Statistics for the Sciences - University of Houston

# MATH 3339 - Statistics for the Sciences

***This is a course guideline.  Students should contact instructor for the updated information on current course syllabus, textbooks, and course content***

Prerequisites: Math 2414

Course Description: Graphical and descriptive methods in statistics, probability, random variables and distributions, sampling, estimation, hypothesis testing, regression, analysis of variance, exploratory and diagnostic methods, statistical computing.

Textbook: Probability and Statistics for Engineering and the Sciences, 8th Edition, by Jay Devore, Brooks/Cole 2012.

Some sections: Textbook & Access Code: The textbook,online quizzes, and additional help materials will be made available by logging into CASA Campus Services (CCS) at https://ccs.casa.uh.edu/ . Students pay for access to CCS as part of their fee bill via CTAP. If one opts out of the CTAP, they can purchase an access code for this course at UH Bookstore. In this case, if the code is not entered by the deadline specified on CASA, students will lose access to CASA. No make ups will be given for assignments missed during the no-access period.

*Note: Some sections of this course are enrolled in CTAP; others are not. Please contact your instructor or view your instructor's syllabus to determine if your method of purchase is available through CTAP or not.

Note: Additional important information is contained at your instructor’s personal webpage. You are responsible for knowing all of this information.

Instructors have the option of making changes to the outline below if they believe it is appropriate.

 Chapter 1 – 1  week 1.1 Populations, Samples and Processes Read 1.2 Pictorial and Tabular Methods 10, 13(b), 25, 29 1.3 Measures of  Location 34(a,b), 36, 43 1.4 Measures of Variability 44, 48, 53, 56 Chapter 2 – 1  week 2.1 Sample Spaces and Events 2, 3, 4, 8 2.2 Properties of Probability 12, 15, 18, 21 2.3 Counting Rules 29, 31, 37, 40 2.4 Conditional Probability 45, 50, 51, 61 2.5 Independent Events 71, 74, 76, 80, 84 Chapter 3 – 2 weeks 3.1 Random Variables 1, 6, 10 3.2 Discrete Distributions 12, 16, 17, 21 3.3 Expected Values 29, 32,33, 36 Supplement: Independent Variables TBA 3.4 Binomial Distributions 46, 47, 48, 52, 57, 65 3.5 Hypergeometric Distributions 69, 72, 74 3.6 Poisson Distributions 79, 83, 84, 85, 91
 Chapter 4 – 2 weeks 4.1 Probability Density Functions 2, 4, 10 4.2 CDFs and Expected Values 11, 13, 17, 22, 25 4.3 Normal Distributions 28, 29, 30, 31, 32, 35, 43, 46, 50, 53 4.4 Exponential & Gamma Distributions 59, 60, 65, 67 4.6 Probability Plots 87, 89, 94, 95 Chapter 5 – 1 week 5.1 Jointly Distributed Variables 1, 3, 9, 17 5.2 Covariance and Correlation 25, 26 5.3 Statistics and Their Distributions 37, 39, 43 5.4 Distribution of the Sample Mean 47, 48, 54, 56 5.5 Linear Combinations 58, 59, 60, 70 Chapter 6 – ½  week 6.1 Sample Mean, Proportion, Variance, Standard Error 2, 4, 11, 12 Chapter 7 – 1 week 7.1 Basic Properties of Confidence Intervals 1, 3, 4, 5 7.2 Large Sample Intervals for Mean and Proportion 12, 14, 16, 19, 21, 23 7.3 Small Sample Intervals for the Mean of a Normal Population 28, 29, 30, 33, 34 7.4 Confidence Intervals for the Variance of a Normal Population 42, 43, 44, 46 Chapter 8 – 1 week 8.1 Hypotheses and Tests 1, 5, 9 8.2 Tests for a Population Mean 15, 16, 21, 27,33(a) 8.3 Tests for a Population Proportion 38(a,b), 39, 41 8.4 P-values 48, 49, 50, 54, 59
 Chapter 9 – 1 ½ weeks 9.1 Large Sample Tests and Intervals for Differences of Population Means 3, 4, 7, 8 9.2 Two-sample t Tests and Intervals 18, 23, 24, 31, 34 9.3 Paired Data 36, 37(a), 46 9.4 Differences Between Population Proportions 49, 51, 54, 57 9.5 Inferences About Population Variances 59, 60, 62 Chapter 10 – 1 week 10.1 Single Factor ANOVA 1, 6, 9 10.2 Multiple Comparisons in ANOVA 11, 14, 18 Chapter 12 – 2 weeks 12.1 The Simple Linear Regression Model 1, 2, 3, 7, 8, 9 12.2 Estimating Model Parameters 12, 13, 14, 16, 19, 22, 26 12.3 Inferences About the Slope 31, 36, 38 12.4 Prediction 44, 46, 48, 54 12.5 Correlation 58, 61, 64