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Math Learning Center

(1074 Upstairs from the library, Aptos)

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(Watsonville)

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(room 714 Aptos)

 

Math Department

 

 

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)
Optional:

Student Solutions Manual, 3nd ed.

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