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Mathematics & Statistics

STA 2023 — Introductory Statistics I — Syllabus

Prerequisites: C (2.0) or better in MAT 1033, or SAT Math score of 440 or better, or ACT Math score of 19 or better, or Elementary Algebra CPT score of 72 or better.

Course Description: This course meets twice a week for 75-minute lecture sessions and once a week for a 50-minute help session. The course fulfills 3 semester hours of the Gordon Rule Computation requirement and also 3 hours of the General Education Quantitative Methods requirement, provided a grade of C-minus or better is achieved. There are typically three midterm exams and a cumulative final exam.

Foundations of Knowledge & Learning: This course is part of the University of South Florida's Foundations of Knowledge and Learning (FKL) Core Curriculum. It is certified for Mathematics and Quantitative Reasoning and will meet the following four dimensions: Critical Thinking, Inquiry-based Learning, Scientific Processes, and Quantitative Literacy. Students enrolled in this course will be expected to participate in the USF General Education assessment effort. This might involve answering questions that measure quantitative reasoning skills (but are not directly related to the course), responding to surveys, or participating in other measurements designed to assess the FKL Core Curriculum learning outcomes.

[textbook]

Text: Elementary Statistics: Picturing the World, 6th Edition, by Larson and Farber

Course Content

PART ONE. DESCRIPTIVE STATISTICS

1. Introduction to Statistics (1 week)
1.1. An Overview of Statistics
1.2. Data Classification
1.3. Data Collection and Experimental Design

2. Descriptive Statistics (2 weeks)
2.1. Frequency Distributions and Their Graphs
2.2. More Graphs and Displays
2.3. Measures of Central Tendency
2.4. Measures of Variation
2.5. Measures of Position

PART TWO. PROBABILITY & PROBABILITY DISTRIBUTIONS

3. Probability (2 weeks)
3.1. Basic Concepts of Probability and Counting
3.2. Conditional Probability and the Multiplication Rule
3.3. The Addition Rule
3.4. Additional Topics in Probability and Counting (optional)

4. Discrete Probability Distributions (2 weeks)
4.1. Probability Distributions
4.2. Binomial Distributions
4.3. More Discrete Probability Distributions

5. Normal Probability Distributions (2 weeks)
5.1. Introduction to Normal Distributions and the Standard Normal Distribution
5.2. Normal Distributions: Finding Probabilities
5.3. Normal Distributions: Finding Values
5.4. Sampling Distributions and the Central Limit Theorem
5.5. Normal Approximations to Binomial Distributions

PART THREE. STATISTICAL INFERENCE

6. Confidence Intervals (2 weeks)
6.1. Confidence Intervals for the Mean (\(\sigma\) Known)
6.2. Confidence Intervals for the Mean (\(\sigma\) Unknown)
6.3. Confidence Intervals for Population Proportions
6.4. Confidence Intervals for Variance and Standard Deviation (omit)

7. Hypothesis Testing with One Sample (2 weeks)
7.1. Introduction to Hypothesis Testing
7.2. Hypothesis Testing for the Mean (\(\sigma\) Known)
7.3. Hypothesis Testing for the Mean (\(\sigma\) Unknown)
7.4. Hypothesis Testing for Proportions
7.5. Hypothesis Testing for Variance and Standard Deviation (omit)