MATH 201

ELEMENTS of STATISTICS and PROBABILITY

Monday, Tuesday, Wednesday, Thursday 10:30 – 12:55 PM    Room E100         5 UNITS

Instructor Wynn Walker

Internet

 

Text: Elementary Statistics Using the TI 83-84 Plus Calculator 3rd Edition by Mario Triola.

Course Description This course will cover data analysis including probability, distributions, sampling, hypothesis testing, confidence intervals, regression analysis, and nonparametric analysis.

Student Learning Outcomes

  1. Design and implement an unbiased study that will produce sound statistical results.
  2. Generate and interpret statistics graphs from data that arise from surveys and experiments.
  3. Implement the rules of probability.
  4. Apply confidence intervals and test hypotheses to make conclusions about data that come from practical applications.
  5. Perform regression analysis to make informed predictions about relationships between quantitative variables.
     

Prerequisite A grade of C or better in Math 154A or an equivalent class within the past two years, or a satisfactory score on the assessment test.

Grading Policy Your letter grade will be based on your percentage of possible points.

A 90 -- 100%         C 70 -- 79%

B 80 -- 89%            D 60 -- 69%

Homework (written): ...............................................10%

Weekly Quizzes (In Class):  ...................................20%

Exam 1:    July  11    ...............................................10%

Exam II:   July 25         ...........................................10%

Exam III:  August 2   ..............................................10%

Project 1:  July 13     ............................................ 10%

Project 2:  July 28    ................................................ 10%

Final Exam: August 4  ...........................................   20%

 

Exam Policy Students are to bring calculators, pencils or pens, and paper to each exam. You may bring one 3" x 5" note card with writing on the front and back to each regular exam and two such note cards to the final exam.  Grading will based on the progress towards the final answer, and the demonstration of understanding of the concept that is being tested, therefore, work must be shown in detail. Any student who cannot make it to an exam must let me know in advance.  With a valid excuse for a missed exam, the same score will be assigned to the missed exam as received on the final exam. No more than one of these three exams may be missed and the final exam can not be missed. In class quizzes cannot be made up.

Homework and Quiz Policy  Homework will be worked out online.  Homework is assigned daily and due every other day at the beginning of class.  Homework may be not be turned in late.

Projects Two projects will be created for this class.  For Project 1, students will collect quantitative data and use a computer to display each of the charts discussed in class.  For Project 2, students will conduct a survey and construct a confidence interval and perform a hypothesis test.  Each project will include the computer results and a narrative describing data collection, assumptions made, background information, how the data was analyzed, and conclusions.  Unless specifically stated, all results must be computed using a computer and the computer generated results must be included with the project.  The projects should be typed, double spaced, and have 12 point font. Students are to work in pairs. If you cannot work with a partner, then speak to your instructor about the possibility of working as a trio.  A 5% penalty will be incurred on any student who cannot work with another student.  

Office Hours: M, T, W, Th 1-2 Math Success Center

 

CALCULATORS: TI 84+ is required for this course.  Other calculators are not feasible for this class as they are missing some of the statistical functions necessary to do the homework, quizzes, and exams. There are a limited number of TI 84+ calculators available for rent for $10 at the Library. 

LEARNING DISABILITIES: If you have a learning disability, be sure to discuss your special needs with me.  Learning disabilities will be accommodated and you may contact our disability resource center by email or by phone at (530) 541-4660 x 384.

TUTORING:  Tutors are available at no cost in A 201 (The Math Success Center).

A WORD ON HONESTY:

Cheating or copying will not be tolerated. People who cheat dilute the honest effort of the rest of us.  If you cheat on a quiz or exam you will receive an F  for the course, not merely for the test.  Other college disciplinary action including expulsion might occur. Please don’t cheat in this class.  If you are having difficulty with the course, please contact me.

 

LECTURE AND EXAM SCHEDULE : The following schedule is tentative and is subject to change.     

Week 1    

June 27:            Introductions
                        1.1  Introduction to Statistics
                        1.2  Statistical Thinking
                        1.3:  Types of Data      
                        1.4:  Critical Thinking
                        1.5:  Collecting Sample Data
                       

June 28:           1.6:  Calculators and Statistics
                        2.1:  Review and Preview
                        2.2:  Frequency Distributions 
                        Quiz (1.1, 1.2, 1.3, 1.4, 1.5)
                       

June 29:           2.3:  Histograms
                        2.4:  Statistical Graphics
                        2.5:  Critical Thinking:  Bad Graphs
                        3.1:  Review and Preview
                        3.2:  Measures of Center

June 30:          3.3:  Measures of Variation
                        3.4:  Measures of Relative Standing and Boxplots

                        4.1:  Review and Preview
                       4.2:  Basic Concepts of Probability
                        Quiz (2.3, 2.4, 2.5, 3.1, 3.2)
                       

 

Week 2

July 5:         4.2:  Basic Concepts of Probability
                    4.3:  Addition Rule
                    4.4:  Multiplication Rules:  Basics

 

July 6:                      
                    4.5:  More Multiplication Rules:  Complements and Conditional Probability
                    4.6:  Probabilities Through Simulations                  
                    4.7:  Counting
                    Quiz (3.3,3.4,4.1,4.2,4.3,4.4)

July 7:           5.1:  Review and Preview
                      5.2:  Random Variables
                      Review For Exam 1

 

Week 3

July 11:           Exam 1 (Chapters 1-4)

July 12:        5.3:  Binomial Probability Distributions
                    5.4:  Mean, Variance, and Standard Deviation for the Binomial Distribution

                    6.1:  Review and Preview
                    6.2:  The Standard Normal Distribution

July 13:        Project 1 Due

                     6.3:  Applications of Normal Distribution
                     6.4:  Sampling Distributions and Estimators
                     6.5:  The Central Limit Theorem
                     Quiz (5.1,5.2,5.3,5.4,6.1,6.2)
           
July 14:        6.6:  Normal as Approximation to Binomial

                      7.1:  Review and Preview
                      7.2:  Estimating a Population Proportion
                     

                

Week 4

July 18:         7.3:  Estimating a Population Mean: s Known
                      7.4:  Estimating a Population Mean:  s Unknown
                     Quiz (6.3,6.4,6.5,6.6,7.1,7.2)
                    

July 19:          8.1:  Review and Preview
                       8.2:  Basics of Hypothesis Testing
                       8.3:  Testing a Claim About a Proportion


July 20:           8.4:  Testing a Claim About a Mean:  s Known

                        8.5:  Testing a Claim About a Mean:  s Unknown
                       Quiz (7.3,7.4,8.1,8.2,8.3)
   

July 21:          9.1:  Review and Preview
                       9.2:  Inferences About Two Proportions

                       Review for Exam II                   

Week 5

July 25:         Exam II:  (Chapters 5-8)

July 26:          9.3:  Inferences about Two Means:  Independent Samples
                       9.4:  Inferences from Dependent Samples  

                       10.1:  Review and Preview
                       10.2:  Correlation
                      
                      

July 27:           10.3:  Regression
                       10.4:  Variation and Prediction Intervals
                       Quiz (9.1,9.2,9.3,9.4, 10.1, 10.2)

July 28:            Project 2 Due

                        11.1:  Review and Preview
                        11.2:  Goodness of Fit
                        11.3:  Contingency Tables

 

Week 6

August 1:     Review for Exam 3
                    Quiz (10.3, 10.4, 11.1, 11.2, 11.3)

August 2:          Exam 3 (Chapters 9-11)

August 3:         12.1:  Review and Preview
                       12.2:  One-Way-ANOVA
                       Review for Final Exam

August 4: Final Exam  (Comprehensive)

HOW TO SUCCEED IN A MATH CLASS

  •  Come to every class meeting.
  •  Arrive early, get yourself settled, spend a few minutes looking at your notes from the previous class meeting, and have your materials ready when class starts.
  •  Read each section before it is discussed in class.
  •  Do some math every day.
  •  Start preparing for the tests at least a week in advance.
  •  Spend about half of your study time working with your classmates.
  •  Take advantage of tutors and office hours, extra help can make a big difference.