BackIntroductory Statistics: Course Syllabus and Key Learning Outcomes
Study Guide - Smart Notes
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Course Overview
This course, Introduction to Statistics (STAT-C1000E), provides a comprehensive foundation in the principles and methods of statistics. Students will learn to collect, organize, analyze, and interpret data, as well as apply probability and inferential techniques to real-world problems. The course emphasizes both theoretical understanding and practical application using calculators and statistical software.
Key Topics and Learning Outcomes
Scales of Measurement: Understand and distinguish between nominal, ordinal, interval, and ratio scales, and recognize their implications for data analysis.
Data Representation: Interpret and construct tables and graphical displays such as histograms, bar charts, and boxplots.
Probability Concepts: Apply the concepts of sample space, events, and probability rules to calculate probabilities in various contexts.
Descriptive Statistics: Calculate and interpret measures of central tendency (mean, median, mode) and measures of variation (range, variance, standard deviation).
Data Collection Methods: Identify standard methods for obtaining data (e.g., surveys, experiments, observational studies) and evaluate their advantages and disadvantages.
Discrete Probability Distributions: Calculate the mean and variance for discrete random variables and apply probability distributions such as the binomial and Poisson distributions.
Normal and t-Distributions: Calculate probabilities and critical values using the normal and t-distributions.
Sampling Distributions and the Central Limit Theorem: Distinguish between sample and population distributions and understand the role of the Central Limit Theorem in inferential statistics.
Confidence Intervals: Construct and interpret confidence intervals for population parameters.
Hypothesis Testing: Understand the basic concepts of hypothesis testing, including null and alternative hypotheses, type I and type II errors, and p-values. Formulate and conduct hypothesis tests for one and two populations.
Statistical Significance: Determine and interpret levels of statistical significance, including the use of p-values.
Regression and Correlation: Use linear regression techniques for estimation and inference, and interpret correlation coefficients.
Goodness-of-Fit and Contingency Tables: Analyze categorical data using chi-square tests for goodness-of-fit and independence.
Analysis of Variance (ANOVA): Apply ANOVA techniques to compare means across multiple groups.
Technology in Statistics: Interpret the output of technology-based statistical analyses, including calculator and software results.
Applications: Apply statistical techniques to data from various disciplines, including business, social sciences, psychology, life sciences, and education.
Course Structure and Assessment
Textbook: Elementary Statistics (14th Edition) by Mario Triola (Pearson Publishing). Includes access to MyStatLab for online homework and resources.
Calculator: TI-84, TI-84 Plus, TI-83, or TI-83 Plus graphing calculator required. Virtual versions are available online.
Homework: Consists of recommended (ungraded) and required (graded, mostly online) assignments. Practice is essential for mastering concepts.
Exams: Four midterm exams (lowest score dropped) and a comprehensive final exam. No calculator sharing during exams.
Grading Breakdown:
Component | Weight |
|---|---|
Homework | 20% |
Classwork | 10% |
Midterms | 50% |
Final Exam | 20% |
Grading Scale:
Grade | Percentage |
|---|---|
A | 90% or above |
B | 80% - 89.9% |
C | 70% - 79.9% |
D | 60% - 69.9% |
Exam Schedule and Covered Chapters
Exam | Chapters Covered | Date |
|---|---|---|
Midterm 1 | Ch. 1, 2, 3 | 16 Sep. |
Midterm 2 | Ch. 4, 5 | 7 Oct. |
Midterm 3 | Ch. 6, 7 | 28 Oct. |
Midterm 4 | Ch. 8, 9 | 23 Nov. |
Final Exam | All above & 11.1, 11.2, 12.1 | 9 Dec. |
Course Policies and Resources
Attendance: Regular attendance is strongly recommended for success. Notify the instructor of absences due to religious or school-related events.
Academic Integrity: Cheating results in a zero for the assignment and notification to the dean.
Math Lab/Learning Center: Free drop-in tutoring and group help available on campus.
Inclusivity and Accommodation: The course adheres to college policies on non-discrimination and provides accommodations for students with disabilities.
Cellphone Policy: Cell phone use is prohibited during class and exams.
Summary Table: Chapters and Main Topics
Chapter | Main Topic |
|---|---|
1 | Introduction to Statistics |
2 | Exploring Data with Tables and Graphs |
3 | Describing, Exploring, and Comparing Data |
4 | Probability |
5 | Discrete Probability Distributions |
6 | Normal Probability Distributions |
7 | Estimating Parameters and Determining Sample Sizes |
8 | Hypothesis Testing |
9 | Inferences from Two Samples |
10 | Correlation and Regression |
11 | Goodness-of-Fit and Contingency Tables |
12 | Analysis of Variance |
Additional Information
Students are encouraged to use online resources and calculator tutorials provided by the instructor.
All course materials, updates, and handouts will be posted on Canvas.
Students are responsible for making up missed assignments and reviewing posted materials after absences.
Good luck in your study of statistics!