Statistics - Math 12 (Sections #77181 and 77734)
Statistics is the critical thinking course for quantitative information. No one can make sense of numerical reports (e.g., about health risks, pre-election polls, global warming) without an intuitive or educated sense of statistical processes. Statistical understanding is your best defense against those who try to manipulate numbers (and you) to support their causes.
The course introduces you to data exploration, research design, data production, and inferential statistics. Data exploration involves shape, center, spread, and relationships (including regression). Statistical inference includes estimation, confidence intervals, and hypothesis testing.
Syllabus
Syllabus and Pacing
Welcome Letter
Assignments
Student Information Sheet
Assignments
Lab Projects - General Information
Lab 1 and pdf file of class data (for Lab 1) This Lab is due by exam 1. The Excel file is below under "Student Questionnaire."
Lab 2
Lab 3
Lab 4
Cabrillo Factbook
Review for Exams
Exam 1 review (ch. 1 to 4)
Exam 2 review (ch. 5 & 6)
Exam 3 review (ch. 7 & 8)
Final Exam Review (cumulative)
Student Questionnaire
Paper Questionnaire for you to turn into me
Excel file of your data
Information and Worksheets
Chapters 1 & 2:
Greek Alphabet
Creating Graphs
Different Sampling Methods Exercise
Chapter 3
Measures of Central Tendency
Standard Deviation and the MAD (a recap of the lecture notes)
Measures of Variability
Matching Distributions with Their Mean and Standard Deviation
Boxplots: Who was the greatest Yankee hitter? this is the "Box & Whiskers" activity
Frequency Distribution Exercise (mean, median, std dev. etc.) For in-class work
Q1 grid & answers, Q2 set up and answers
Criminal Data Lab, Criminal Data Excel file
Chapter 4
Probability: Experiment vs Theory
The Excel File & Graphs from the Dice Tosses
Two Dice Sums
Counting Problems
Conditional Probability
Chapter 5
Probability Distributions
Binomial Distribution Problems
Binomial83 Program for the Calculator
Chapter 6
Standard Normal Distribution
Normal Word Problems
Normal Distribution Questions
Sampling Distributions
Chapter 7
Confidence Intervals with the Calculator
3 worked problems from 7-4 and 7-5
Chapter 8
In case you are interested: An article about pesticide exposure and its effects on the children whose mothers were exposed while pregnant.
Worked Example of Hypothesis Testing
More Examples of Hypothesis Testing from Jennifer Cass
One Sample Hypothesis Testing Examples for Class
Decision Making from Hypothesis Tests
Hypothesis Testing with the Calculator
Chapter 9
Two Sample Hypothesis Testing Examples for Class
Classifying Hypothesis Test and Confidence Interval Problems
Chapter 10
Bivariate Data
Football Problem
Golf Problem
4 Sets Regression
Jennifer Cass Video on Correlation and Regression
Chapter 11
Chi-Squared Example and Hypothesis Test
Chi-Squared Test of Independence and Test of Homogeneity
Links to general information on this page
Course Materials
Prerequisites
Taking a Math Class
Links to Power Point Presentations (print versions)
Chapter 1
Chapter 2.1 to 2.3, 2.4
Chapter 3.1 to 3.3, 3.4 to 3.5
Chapter 4.1 to 4.4, 4.5 to 4.7
Chapter 5.1 to 5.2, 5.3 to 5.4
Chapter 6.1 to 6.3, 6.4 to 6.5, 6.6 to 6.7
Chapter 7.2, 7.3 to 7.4, 7.5 to 8.1
Chapter 8.2, 8.3 to 8.4, 8.5 to 8.6
Chapter 9.1 to 9.3, 9.4 to 9.5
Chapter 10.1 to 10.3
Chapter 11.1 to 11.2
Chapter 12.1 to 12.2
Link to video lectures created by Jennifer Cass and Lisa Chovick
video lectures
Formulas and Tables Handout (from Triola textbook)
Formulas and Tables
Power Points
ch 1, ch 2, ch 3, ch 4, ch 5, ch 6, ch 7, ch 8, ch 9, ch 10, ch 11, ch 12
Course Materials
| Required Text: |
Elementary Statistics Using the Graphing Calculator (3nd ed.) by Mario Triola (ISBN 0-321-64148-5) The bookstore won't let me keep ordering the 2nd edition. If you want to use the 2nd edition, you may, but be aware the problem sets will be different. |
| Required: |
Calculator: TI-83Plus/silver edition or TI-84Plus/silver edition. It is possible to use an alternate calculator. It is your responsibility to ensure that you can do the assigned tasks with an alternate calculator. Check out rentcalculators.org Discount code: CC95003 |
| Required: |
Course handouts from this webpage. I will tell you what to print. (This has the worksheets we will do in class.) |
| Optional: |
TI83/84 Reference Card (ISBN 0-321-39967-6)
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| Optional: |
Student Solutions Manual, 3nd ed.
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New: Check out www.rentcalculators.org. Here you can rent a TI-83Plus or a TI84Plus. Discount code: CC95003
The prerequisite for this course is Math 152, Intermediate Algebra. You may take Math 12 if you meet any of the following:
- You have passed Math 152 at Cabrillo College
- You have passed the equivalent at another college or earned a 3, 4 or 5 on the AP Calculus exam and have had your transcripts processed by a counselor here at Cabrillo.
- You assessed at the transfer level here at Cabrillo.
You must get your prerequisites cleared by a counselor here at Cabrillo before you will be allowed to enroll in the course.
Taking a Math Course
If you meet the prerequisite, you can succeed in this class. And stats is right for you if you work at it a bit every day, rather than one mega-day every week or two. Statistics is like a foreign language you can't learn to speak it unless you use it every day. It's true that you can go a while without having to demonstrate any progress in the class. But waiting until the last day to tackle three chapters and 93 homework problems is not a recipe for success.
You can pass this course. But you are not likely to pass if you make the following choices:
- Reading and studying in a cursory rather than careful manner
- Taking too many units relative to your work and family obligations
- Working too many hours relative to your college and family obligations
- Not asking for help (from your instructor and statistics tutors) when you are confused
- Not learning how to use your calculator early in the term
- Not finishing homework assignments
- Not studying homework answers and comparing them to your own work to observe your misunderstandings
- Not working with your instructor and statistics tutors to erase your misunderstandings
If you anticipate that these choices will apply to you this semester, don't take statistics.
Learning Objectives
By the end of the course, your success will be clearly demonstrated by the following skills:
Ability to distinguish and evaluate data production methods — sampling, surveys, observational studies, experiments.
Ability to describe, distinguish, and explain various data features (e.g., shape, center, spread, and relationships).
Ability to calculate certain statistics on your calculator -- sample means and standard deviations, correlation coefficients and slopes and intercepts, binomial probabilities, sampling standard errors, Z values and t statistics. We will also investigate other distributions (F, chi-square). The text provides detailed instructions for the TI-83/84.
Ability to calculate and interpret the meaning of probability in various settings.
Ability to choose appropriate statistical tools for different settings and use them appropriately.
Ability to develop appropriate interpretations and conclusions from statistical research and calculator results.
Special Needs
Accommodations are provided to ensure equal opportunity for students with verified disabilities. Go to my Cabrillo Homepage to review my office hours, then correspond with me, include a verification of your disability and a counselor's or specialist's recommendation for accommodating your needs. Get more information from Cabrillo College's Disabled Students Program and Services.
Internet Resources
Library Internet Resources
Resources and Labs
Counseling, Planning & Transfer Information
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