MATH 201

ELEMENTS of STATISTICS and PROBABILITY

Monday Wednesday and Friday  9:30 to 10:55 AM    Room A 211           5 UNITS

Instructor Larry Green

Office Phone Number  541-4660 Extension 341

Internet

 

Required Text Understandable Statistics Eighth Edition  by Brase/Brase

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

Course Objectives  The successful student will

  1. exhibit a proficiency in the topics covered in the course;
  2. engage in logical and critical thinking;
  3. read technical information; and 
  4. demonstrate the solution to problems by translating written language into mathematical statements, interpreting information, sketching relevant diagrams, analyzing given information, formulating appropriate mathematical statements, and checking and verifying results

 

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 27 .....................................150 points

Exam II: May 18   ....................................150 point

Exam III June 15   ................................... 150 points 

Project 1: April 13   ...................................... 75 points

Project 2:  May 30 ...................................... 75 points

Project 3:  June 8 ..........................................75 Points

 

Final Exam June 21 10:00 to 12:00   ..........   225 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 assignments are turned in for the quarter, and no more than three assignments are late, then the exam with the lowest score will be dropped.

 

Homework Policy  Homework is due either at the end of class or by 5:00 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 points for quizzes will only be awarded if the accompanying homework assignment is turned in.

 

Extra Credit Any student who has turned in every homework assignment may elect to work on an extra credit assignment or project that will count as additional points towards either an exam or the final.  Extra credit assignments will be discussed on an individual basis during office hours.

 

Project 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.  For Project 2, students will conduct a survey and construct a confidence interval and perform a hypothesis test.  For Project 3, students will perform regression analysis on the data that they collect.  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 may work on the projects in groups, but expectations will be higher for group projects.

 

Registration

You must register for this class in order to receive credit.  The instructor will not drop you from this course.  It if your responsibility to drop the class in order to avoid a grade.

 



OFFICE HOURS:

Room A210

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

Tuesday.......................................................... 9:05 to 10:00  (In GMC)

Wednesday......................................... ........... 11:00 to 12:05  (In GMC)

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

Friday.............................................................. 11:00 to 12:00 



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 G4 (The Gateway Math Center).  



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

4-2         Introductions     Current Event

4-4      1.1       What is Statistics?                                       2,5,7,8
            1.2         Random Samples                                       1,9,10,15
            Current Event  Quiz

4-6      1.3        Experimental Design                                    1,3,6
            2.1         Bar, Circle, and Time Plots                           1,7,11
            Random Number Applet Quiz  Current Event  Video on using StatCrunch for Pie Charts


4-9       2.2         Histograms                                                   2,5,14
             2.3        Stem and Leaf                                               2,9,12
            Current Event  Quiz

4-11     3.1        Mode, Median, and Mean                             3,7,16
            3.2
        Measures of Variation                                    2,5,16
                        Current Event Quiz Using StatCrunch for Summary Stats


4-13     3.3        m and s for Grouped Data                             2,6,11
            3.4        Percentiles and Boxes                                    3,8,11,15
                   Applet to Find Statistics From Grouped Data  Quiz   


4-16        4.1         Probability  Quiz                                             5,7,8,11,15

4-18       4.2         Probability Rules   Project 1 Due                      1,4,7,14,18,22,25
                    Quiz  Current Event

4-20       4.3     Quiz    Trees and Counting                                      5,8,12,25,28


4-23       5.1          Random Variables and Distributions               1,3,6,11,14
                    Quiz Current Event

4-25     5.2          Binomial Probabilities                                     4,1015,18
                    Quiz  Current Event

4-27      Exam 1        Chapters 1,2,3,4, 5.1, 5.2


4-30     Return Exam 1

5-2       6.1        The Normal Distribution                                  2,9,10,14,15
            6.2         Area Under the Standard Normal Curve          1,4,7,33,40
        Current Event  Quiz

5-4    6.3         Area Under a General Normal Curve                  3,10,13,16,19,26,36,37
         6.4
         Binomial and Normal Distributions                       1,4,9,12,15
             Current Event    Quiz Balls


5-7       7.1        Sampling Distributions                                           2,3,4
             7.2
         The Central Limit Theorem                                   5,8,13,16
            Quiz     Current Event

5-9     7.3         Distributions for Proportions                                3,6,10,11
             8.1         Estimating m (s Known)                                      2,5,7,11
                Quiz   Current Event

5-11     8.2          Estimating m (s Unknown)                                5,8,9,13
             8.3
          Estimating p                                                       1,6,9,12,17
               
Quiz    Current Event


5-14     8.5        Two Sample Differences                                     3,6,9,11,14
               
Quiz Current Event

5-16     8.4         Choosing the Sample Size                                    1,6,11,14,20
                   
Quiz  Current Event

5-18       Exam II         Chapters 6,7,8


5-21     Return Exam II Current Event 
 

5-23    9.1        Hypothesis Testing                                              2,3,5,10,13
   
         9.2        Hypothesis Tests For m                                      1,4,7,11,18
                Quiz    Current Event

5-25   9.3          Hypothesis Tests for a Proportion                     1,4,7,11,14
           9.4          Tests with Paired Differences                            1,4,8,11,14
                        
Quiz   Current Event  Hints for Hypothesis Testing


5-28      Memorial Day

5-30    9.5          Independent Samples                                               2,5,10,21,24
                        Quiz    Current Event  Current Event Data  

6-1    10.1        Paired Data and Scatter Plots and Linear Regression   2,3,6,9,12,14
            
           Quiz   Current Event (Lake Clarity)       Data


6-4       10.2      Correlation            Project 2 Due                             1,6,11,14 (Handout)
             10.3     Inferences for Correlation                                           3,4,6 (do not do part (g))
                        Quiz    Current Event

6-6     11.1          Chi-Square                                                               1,4,5,8,10
               Quiz       Current Event  Video on StatCrunch and Independence

6-8   11.2        Goodness of Fit                                                              1,4,7,10,12
                Quiz  Current Event  

 


6-11    11.4     Comparing Variances           Project 3 Due            1,4,7       
              11.5     One Way ANOVA                                          1,6,7 Do not do part (b), use a computer for the rest.
Quiz  Current Event

6-13     11.6     Two Way ANOVA                                         1,3,4,6 (You may use a computer)
Quiz

6-15    Exam III        Chapter 9, 10.1, 10.2, 10,3, 11.1, 11.2,11.4, 11.5, 11.6


6-20   Comprehensive Final Exam 10:00 - 11:50  (Note Time)

 



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.