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Introductory Statistics: Course Syllabus and Key Learning Outcomes

Study Guide - Smart Notes

Tailored notes based on your materials, expanded with key definitions, examples, and context.

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!

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