Course Syllabus
Basic Information
Math 108-42 Syllabus: Introduction to Probability and Statistics
Spring 2021
3.0 Units Credit
Schedule: Arranged, asynchronous
Office Hours: Weds 10:00 AM- 1:00 PM on Zoom 545 626 7312
Instructor: Dr. Pamela Kimbrough
Email: pkimbrou@sbccd.cc.ca.us
Text/Call: (909) 918-6024
Course Description:
This course is an introduction to probability, descriptive and inferential statistics, with applications to the natural sciences, life science, health science, education, business, economics, and the behavioral sciences.
Student Learning Outcomes:
Upon successful completion of the course, students will be able to:
A. Students will demonstrate the ability to describe and summarize data of samples and populations
B. Students will demonstrate the ability to correctly apply the addition or multiplication rules of a probability experiment.
C. Students will demonstrate the ability to correctly evaluate probability from a binomial or normal distribution.
D. Students will demonstrate the ability to correctly define and conduct a hypothesis test.
Course Objectives for Students:
Upon successful completion of the course, students will be able to:
E. Recognize the proper use of statistics and distinguish them from the abuse of statistics
F. Distinguish among different scales of measurement and their implications
G. Apply concepts of sample space and probability;
H. Apply proper rules of probability
I. Identify and understand the methods of data collection while evaluating the quality and appropriateness of the data
J. Describe, analyze, and summarize the data of samples and populations, using numerical and graphical summaries
K. Calculate measures of central tendency and variation for a given dataset
L. Calculate the mean and variance of a discrete distribution
M. Calculate probabilities using normal and t-distributions
N. Construct and interpret confidence intervals
O. Compare and contrast different kinds of probability distributions, including the binomial, the uniform and the normal, and select the correct distribution in applications
P. Run various tests of hypotheses on various types of sample statistics, while appropriately using the Central Limit Theorem
Q. Apply techniques of linear correlation and regression of bivariate relations
R Determine and interpret levels of statistical significance including p-values
Course Content:
[INSTRUCTORS: Insert course content]
- Summarizing data graphically and numerically;
- Descriptive statistics: measures of central tendency, variation, relative position, and levels/scales of measurement;
- Sample spaces and probability;
- Random variables and expected value;
- Sampling and sampling distributions;
- Discrete distributions – Binomial;
- Continuous distributions – Normal;
- The Central Limit Theorem;
- Estimation and confidence intervals;
- Hypothesis Testing and inference, including t-tests for one and two populations, and Chi-square test;
- Correlation and linear regression and analysis of variance (ANOVA);
- Applications using data from disciplines including business, social sciences, psychology, life science, health science, and education; and
- Statistical analysis using technology such as SPSS, EXCEL, Minitab, or graphing calculators.
Textbook:
Great news: your textbook for this class is available for free online!
Statistics from OpenStax, ISBN 1-947172-05-0
You have several options to obtain this book:
- View online (Links to an external site.) (Links to an external site.)
- Download a PDF (Links to an external site.) (Links to an external site.)
- Download on iBooks (Links to an external site.) (Links to an external site.)
You can use whichever formats you want. Web view is recommended -- the responsive design works seamlessly on any device.
Assessment
Please check your scores frequently in Canvas.
Late discussions, homework, or exams are not accepted without a documented excuse, which must normally be obtained in advance. A documented excuse is written, explains a problem which could not have been anticipated, and includes a signature from another person such as a doctor.
Course final grades are submitted promptly after the final.
Grade Calculation:
Weekly Quizzes based on homework 15%
Classroom Discussions 20%
Homework 20%
Project Sections 1, 2, and 3 15%, 15%, 15%
Total: 100%
Grading Scale:
90.0% and above, A
80.0%- 89.9%, B
70.0%-79.9%, C
60.0-69.9%, D
Below 60.00%, F
Important Notes:
- All first week assignments need to be completed and submitted by the due date to avoid possibly being dropped from the class.
- Any student needing accommodations should inform the instructor. Students with disabilities who may need accommodations for this class are encouraged to notify the instructor and contact the DSPS center (https://www.valleycollege.edu/student-services/specialized-counseling-services/disability-services/) early in the rsemester so that reasonable accommodations may be implemented as soon as possible. All information will remain confidential.
- Academic dishonesty and plagiarism will result in a failing grade on the assignment. Using someone else's ideas or phrasing and representing those ideas or phrasing as our own, either on purpose or through carelessness, is a serious offense known as plagiarism. "Ideas or phrasing" includes written or spoken material, from whole papers and paragraphs to sentences, and, indeed, phrases but it also includes statistics, lab results, art work, etc. Please see the Valley College handbook for policies regarding plagiarism, harassment, etc.(https://www.valleycollege.edu/online/handbook-students-online/academic-honesty-online.php).
Title IX Information:
Please see https://www.valleycollege.edu/contact-sbvc/documents/title-ix-brochure-2017-08-29.pdf.
Course Summary:
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