MATH 1342 - Introduction to Probability and Statistics - University of Houston

# MATH 1342 - Introduction to Probability and Statistics

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

*This course was formerly MATH 2311*

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

Delivery format: face-to-face lecture or online
Prerequisite: A satisfactory score on a placement examination.

Course Description: Probability, correct probabilistic reasoning, distributions, graphical and descriptive methods, sampling estimation, hypotheses and statistical inference.

*Note: May not apply to course or GPA requirements for a major or minor in the College of Natural Sciences and Mathematics. Students with prior credit for MATH 3338 or MATH 3339 may not enroll in or receive credit for MATH 1342.

Core Category: Mathematics (20) and Math/Reasoning (90).

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.

Required Supplies: Students are required to purchase an access code at the Book Store to access the learning materials. Students are required to have a calculator. A graphing calculator is not necessary.

Upon successful completion of this course, students will:

• Explain the use of data collection and statistics as tools to reach reasonable conclusions.
• Recognize, examine and interpret the basic principles of describing and presenting data.
• Compute and interpret empirical and theoretical probabilities using the rules of probabilities and combinatorics.
• Explain the role of probability in statistics.
• Examine, analyze and compare various sampling distributions for both discrete and continuous random variables.
• Describe and compute confidence intervals.
• Solve linear regression and correlation problems.
• Perform hypothesis testing using statistical methods.

[Additional course curriculum details: Collection, analysis, presentation and interpretation of data, and probability. Analysis includes descriptive statistics, correlation and regression, confidence intervals and hypothesis testing.]

## Course Content:

The information contained in this class outline is an abbreviated description of the course. Additional important information is contained on your instructor’s  personal webpage. You are responsible for knowing all of this information.

Exploring Univariate Data

1.1 Types of data

1.2 Mean and Median

1.3 Standard Deviation and Variance

1.4 Range, IQR and Finding Outliers

1.5 Graphs and Describing Distributions

Introduction to Probability

2.1 Counting Techniques, Combinations and Permutations

2.2 Sets and Venn Diagrams

2.3 Basic Probability Models

2.4 General Probability Rules

Discrete Distributions

3.1 Random Variables

3.2 Binomial Distributions

3.3 Geometric Distributions

Continuous Distributions

4.1 Density Curves

4.2 The Normal Distribution

4.3 Standard Normal Calculations

4.4 Sampling Distribution of x and p

Bivariate Data

5.1 Scatter Plots

5.2 Correlation

5.3 The Least Squares Regression Line

5.4 Residuals

5.5 Non-Linear Models

5.6 Relations in Categorical Data

Samples and Experiments

6.1 Sampling

6.2 Designing Experiments

6.3 Simulating Experiments

Estimation

7.1 Margins of Error and Estimates

7.2 Confidence Interval for a Proportion

7.3 Confidence Interval for the Difference of Two Proportions

7.4 Confidence Interval for a Mean

7.5 Confidence Interval for the Difference of Two Means

Tests of Significance

8.1 Inference for the Mean of a Population

8.2 Sample Proportions

8.3 Inference for a Population Proportion

8.4 Comparing Two Means

8.5 Comparing Two Proportions

8.6 Goodness of Fit Test

8.7 Two-way Tables

Inference for Regression (Optional)

9.1 Confidence Intervals

9.2 Test for Slope of Regression Lines

Justin Dart Jr. Center Accommodations: