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 1432

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, 8^th Edition, by Jay Devore, Brooks/Cole 2012.

Alternate Textbook: Available in electronic form (PDF) through CASA for all enrolled students via an Access Code.

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

CSD Accommodations:

Academic Adjustments/Auxiliary Aids: The University of Houston System complies with Section 504 of the Rehabilitation Act of 1973 and the Americans with Disabilities Act of 1990, pertaining to the provision of reasonable academic adjustments/auxiliary aids for students who have a disability. In accordance with Section 504 and ADA guidelines, University of Houston strives to provide reasonable academic adjustments/auxiliary aids to students who request and require them. If you believe that you have a disability requiring an academic adjustments/auxiliary aid, please visit The Center for Students with DisABILITIES (CSD) website at http://www.uh.edu/csd/ for more information.

Accommodation Forms: Students seeking academic adjustments/auxiliary aids must, in a timely manner (usually at the beginning of the semester), provide their instructor with a current Student Accommodation Form (SAF) (paper copy or online version, as appropriate) from the CSD office before an approved accommodation can be implemented.

Details of this policy, and the corresponding responsibilities of the student are outlined in The Student Academic Adjustments/Auxiliary Aids Policy (01.D.09) document under [STEP 4: Student Submission (5.4.1 & 5.4.2), Page 6]. For more information please visit the Center for Students with Disabilities Student Resources page.

Additionally, if a student is requesting a (CSD approved) testing accommodation, then the student will also complete a Request for Individualized Testing Accommodations (RITA) paper form to arrange for tests to be administered at the CSD office. CSD suggests that the student meet with their instructor during office hours and/or make an appointment to complete the RITA form to ensure confidentiality.

*Note: RITA forms must be completed at least 48 hours in advance of the original test date. Please consult your counselor ahead of time to ensure that your tests are scheduled in a timely manner. Please keep in mind that if you run over the agreed upon time limit for your exam, you will be penalized in proportion to the amount of extra time taken.

UH CAPS

Counseling and Psychological Services (CAPS) can help students who are having difficulties managing stress, adjusting to college, or feeling sad and hopeless. You can reach (CAPS) by calling 713-743-5454 during and after business hours for routine appointments or if you or someone you know is in crisis. No appointment is necessary for the "Let's Talk" program, a drop-in consultation service at convenient locations and hours around campus.

Department of Mathematics

Undergraduate Studies

MATH 3339 - Statistics for the Sciences