MATH 201

ELEMENTS of STATISTICS and PROBABILITY

Monday Wednesday and Friday  12:30 to 2:10 PM    Room D108           5 UNITS

Instructor Larry Green

Office Phone Number  541-4660 Extension 341

Internet

 

Required Text Understandable Statistics Ninth Edition  by Brase/Brase

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 154 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: ................................................100 points

Exam 1:   April 28......................................150 points

Exam II:   May 21 .....................................150 point

Exam III:    June 22.................................. 150 points 

Project 1:    April 21    .............................. 100 points

Project 2:   June 7   ................................... 100 points

 

Final Exam:   June 23 ............................   250 points

 

Exam Policy Students are to bring calculators, pencils or pens, and paper to each 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 may elect to take the exam up to two days before the exam is scheduled.  Without a proven medical excuse, a 10% per day penalty will be given for each day the exam is taken late.  If all homework is completed and no more than three homework assignments are scored less than or equal to 5 points, then the midterm with the lowest score will be dropped.

 

Homework Policy  Homework is due either at the end of class or by 4:00 PM in my office.  The use of computers or calculators is strongly recommended. Also, feel free to consult a fellow classmate, a tutor, your instructor, or anyone else for assistance on the homework.   Homework that is turned in within one week of the due date will be counted as half credit. Homework may be turned later than one week after the due date, but points will not be awarded.

 

Daily Quizzes  The first five minutes of each class, there will be a quiz that covers the main point from the previous  lecture.  Each quiz will count as 20% of the homework grade.  Quizzes cannot be made up and will not be counted unless the corresponding homework is turned in on time.

   

Projects Three 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.  Click here for a video explanation of StatCrunch for Project 1.  For Project 2, students will conduct a survey and construct a confidence interval and perform a hypothesis test.  Click here for a video explanation of StatCrunch for Project 2.  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 by yourself or as a trio.    Rubric for the Project Grades.  Larry will be happy to look at a rough draft of your paper if you can bring or email it to him at least 24 hours before it is due.  After receiving feedback, you can ask more questions, but only one rough draft of the paper will be reviewed by Larry.

 



OFFICE HOURS:

Monday  ............................  11:00 to 12:00           MSC

Tuesday...........................      9:00 to 10:00           MSC

Wednesday ....................      11:30 to 12:30         A210

Thursday........................       12:00 to 1:00           A210

Friday........................           11:30 to 12:30          A210



CALCULATORS: A calculator with built-in one and two variable statistics functions is required for this class.  The TI-30X IIS is one such calculator that is inexpensive. 

LEARNING DISABILITIES: If you have a learning disability, be sure to discuss your special needs with Larry.  Learning disabilities will be accommodated.

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 see me.

 



HOMEWORK ASSIGNMENTS

Lecture will always be geared towards an explanation of the topics that will be covered on the upcoming homework assignment.  The quizzes shown are from last year.  New quizzes will be given.

Date    Section  Topic                                                       Exercises

4-5         Introductions     Current Event

4-7      1.1       What is Statistics?                                       2,6,9,12
            1.2         Random Samples                                     1,2,5,14,15,16
            Current Event  Quiz

4-9      1.3        Experimental Design                                    1,3,4,7
            2.1         Histograms                                                2,6,9,12
            Random Number Applet Quiz  Current Event


4-12     2.2         Bar, Circle, and Time Plots                           1,7,11
             2.3        Stem and Leaf                                               2,5,10
            Current Event  Quiz

4-14     3.1        Mode, Median, and Mean                             3,7,13
            3.2
        Measures of Variation                                    2,5,8,13,14,17
                        Current Event Quiz


4-16     3.3        Percentiles and Boxes                                    3,5,8,9,10
            4.1         Probability                                                     5,6,7,11,15
                     Quiz 


4-19    4.2          Probability Rules                                            2,5,7,14,18,22,25
                              Quiz    Current Event

4-21    4.3         Trees and Counting                                        5,9,12,24,25,26
                          Project 1 Due  Video on Project 1 Quiz    Current Event

4-23    5.1          Random Variables and Distributions                   1,6,11,14
                    Quiz Current Event


4-26    5.2          Binomial Probabilities                                     5,6,1015,18
                    Quiz  Current Event  Presentation Exam

4-28     Exam 1        Chapters 1,2,3,4, 5.1, 5.2

4-30      Return Exam 1  Current Event


5-3      6.1        The Normal Distribution                                       2,3,9,10,14,15
            6.2         Area Under the Standard Normal Curve          4,6,7,8,9,14,19.26,33,36,40
        Current Event  Quiz

5-5     6.3         Area Under a General Normal Curve                  3,10,13,16,19,26,36,37
          7.1
        Sampling Distributions                                           2,3,4
             Current Event    Quiz  

5-7     7.2         The Central Limit Theorem                               1,5,8,13,16
            Quiz     Current Event


5-10    7.3         Distributions for Proportions                                3,6,10,11,12
                Quiz    Current Event

5-12   8.1         Estimating m (s Known)                                    2,4,5,6,7,11,15,16
               
Quiz    Current Event

5-14   8.2          Estimating m (s Unknown)                                7,8,9,13,16,19


5-17    8.3          Estimating p                                                       3,4,6,9,12,16,19
               
Quiz Current Event   

5-19    8.4        Two Sample Differences                                     5,6,9,11,14,22
                   
Quiz   Current Event

5-21       Exam II         Chapters 6,7,8
            In Class Practice Problems


5-24      Return Exam II
 

5-26     9.1        Hypothesis Testing                                             2,4,7,10,13


5-28     9.2        Hypothesis Tests For m                                      1,4,5,6,7,11,17,22
                Quiz    Current Event


5-31      Memorial Day Holiday

6-2      9.3          Hypothesis Tests for a Proportion                     1,4,5,7,11,14
            9.4          Tests with Paired Differences                            8,9,11,14,17
                        
Quiz   Current Event

6-4     9.5          Independent Samples                                         3,10,15,24,26,27   
                         Quiz    Current Event 


6-7     10.1        Paired Data and Scatter Plots and Linear Regression   2,4,9,10,13,14,16
            
            Quiz   Current Event  Project 2 Due  Video for Project 2

6-9       10.2      Correlation                                          7,11,14 (Handout)
            10.3     Inferences for Correlation                     4,7,9,10 (you may use a 95% CI for each and do b,d,e,f)
                        Quiz   Current Event

6-11      11.2       Goodness of Fit                                 4,5,8,15,16
                          Quiz   Current Event  


6-14       11.1          Chi-Square                                    3,4,5,8,10,13
                   Quiz       Current Event  Video on Using StatCrunch for Test for Independence

 6-16     11.4     Comparing Variances                            7,10,11       
             11.5     One Way ANOVA                            1,6,7 Do not do part (b), use a computer for the rest.
                           Quiz  Current Event

 6-18      6-22    Exam III        Chapter 9, 10.1, 10.2, 10,3, 11.1, 11.2,11.4, 11.5


 

6-23   Comprehensive Final Exam  12:00 - 1:50 PM
 



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.