Math 2400            Elementary Statistics         3 semester hours

Fall 2009

Dr. Green          

Office: Newton Oakes 222                 Phone:  864-1809                 email:   egreen@ngcsu.edu

 

Office Hours:               9:00 – 11:10  MWF,  1:15 – 2:15  TR,  4:30 – 5:30 MW,  or by appointment

 

Prerequisite:  Three hours of college mathematics.  A student will not be allowed credit for MATH 2400 after completing MATH 3300 with a grade of "C" or above.

 

Catalog Description:  A noncalculus introduction to descriptive and inferential statistics.  Topics include graphical and numerical methods of describing data, hypothesis testing, linear regression and correlation, the normal distribution, and estimation.

 

Course Objectives:  After completion of the course the student will be able to:

·         Distinguish the use of descriptive statistics from the use of inferential statistics.

·         Distinguish qualitative data from quantitative data.

·         Construct a frequency distribution, relative frequency distribution, and cumulative frequency distribution for a given set of data.

·         Construct a histogram and frequency polygon for a given set of data.

·         Compute and provide a qualitative interpretation for the mode, median, and mean of a given set of data.

·         Compute and provide a qualitative interpretation for the range, interquartile range, and standard deviation of a given set of data.

·         Find the proportion of data between two given values for a normal distribution.

·         Find the value of a given percentile for a normal distribution.

·         Compare scores from two different normal distributions using standard scores.

·         Construct a scatterplot for a given set of paired data.

·         Compute and provide a qualitative interpretation for the correlation coefficient of a given set of paired data.

·         Compute the slope and Y-intercept of the least squares prediction line and use the equation for the least squares prediction line to predict the value of one variable from the value of the other.

·         Compute and provide a qualitative interpretation for the standard error of prediction of a given set of paired data.

·         Provide a strategy for collecting a random sample from a given population.

·         Compute the probability of compound events using the multiplication rule for independent events and the addition rule for mutually exclusive events.

·         Compute and provide a qualitative interpretation for the mean of all sample means and the standard error of the mean for a given population and sample size.

·         Perform the six steps of hypothesis testing for a z-test, t-test, t-test for two independent samples, and

t-test for two matched samples.

·         Distinguish Type I errors from Type II errors and provide a strategy for minimizing the chance of one or the other occurring.

·         Find and provide a qualitative interpretation for a confidence interval.

·         Perform the six steps of hypothesis testing for a chi-square test.

·         Determine the appropriate hypothesis test to use in a given situation.

 

Methods of  Instruction:  The methods of instruction are determined by the instructor; however, the instructor is expected to use a variety of methods.  These methods may include, but are not limited to lecture, problem-solving sessions with informal assessment by the student or instructor, discussion, group projects, timely feedback from test, quiz, or project results (formative assessment), question and answer, computer or calculator based explorations, and student presentations.  Students will be encouraged to assess and monitor their own problem-solving process to determine when an error has been made or a new strategy should be used.

                                                                                                                                               

Evaluation:  See Calendar for test dates

                Test Average:  2/3 or 1/3  (See calendar for test dates)

Three One Hour Tests

Six Short QUIZZES (6 points each)  PLUS

                3 computer projects (Projects #1-3, 5 points each)   PLUS

                STATS PORTAL Total (up to 64 points)  EQUALS

                                one test score  (maximum possible total is 115)

Final Exam:  1/3 or 2/3        (The greater of your test average and final exam automatically counts  2/3 .  )

 

 

Course Content:

 

1.       Graphical and numerical methods of describing data.

2.       The normal distribution.

3.       Correlation and linear regression.

4.       Hypothesis testing.

5.       Estimation.

 

Knowledge Base: 

 

1.    Required Text:  At the level of The Basic Practice of Statistics, 3rd edition, by David S. Moore.

 

2.    Supplemental Text: None.

 

3.       Library Resources: 

 

·         Moore, David E., Statistics: Concepts and Controversies, 4th edition, W. H. Freeman, NY, (1996).

·         G. Kanji, 100 Statistical Tests, Sage, London, (1993)

·         J. Stevens, Intermediate Statistics: A Modern Approach, Lawrence Erlbaum Associates, Mahwah, (1999)

·         J. Stevens, Applied Multivariate Statistics for the Social Sciences, Lawrence Erlbaum Associates, Mahwah, (2002)

·         R. Mason, Statistical Design and Analysis of Experiments, Wiley, New York, (1989)

·         C. Cox, A Handbook of Introductory Statistical Methods, Wiley, New York, (1987).

·         D. Fraser, Probability and Statistics: Theory and Applications, Duxbury Press, North Scituate, (1976).

·         J. Hodges, Jr. and E. Lehmann, Basic Concepts of Probability and Statistics, Holden-Day, San Francisco, (1964).

·         She Does Math! (Marla Parker, Ed., The Mathematical Association of America, 1995)

·         Women and Science Celebrating Achievements Charting Challenges (National Science Foundation, 1997)

 

4.       World Wide Web Resources:

 

·         SurfStat Australia - www.anu.edu.au/nceph/surfstat/surfstat-home/surfstat.html

·         HyperStat OnLine Textbook - davidmlane.com/hyperstat/index.html

·         Globally Accessible Statistical Procedures - http://www.stat.sc.edu/rsrch/gasp/

·         Statistics on the Web - http://www.execpc.com/~helberg/statistics.html

·         Association for Women in Mathematics - www.awm-math.org

·         Texas Instruments - www.education.ti.com

·         Eric Weisstein’s World of Mathematics (Encyclopedia of Mathematics) - mathworld.wolfram.com

·         TEAMS Mathematics Resources - teams.lacoe.edu/documentation/places/math.html

·         Math Nerds – www.mathnerds.com

·         SOS Mathematics – www.sosmath.com

·         Intermath – www.intermath-uga.gatech.edu/

·         Women in Mathematics - www.agnesscott.edu/lriddle/women/women.htm

 

5.        Technology Resources:

 

·         A graphing calculator such as a TI-83 Plus

·         Software: Microsoft Excel, Fathom and SPSS.

 

 

 

General Expectations:  The student is expected to abide by the university's attendance policy and integrity code.  A maximum of 3 absences are allowed.   If you exceed the maximum allowance and are failing, I may assign you a grade of WF.  If you miss a test for a valid reason, you must notify me on the day of the test or earlier. 

 

 

 

 

 

Math 2400                  Fall Semester 2009

 

Monday

Tuesday

Wednesday

Thursday

Friday

August 17

 

 

18

19

Chapter 1

20

21

24

Chapter 2

25

26

Chapter 2, 3

 

27

28

31

Chapter 3 

HW1, HW2

September 1

2

Chapters 3, 4

QUIZ

3

4

7

Labor Day

 

8

9

Chapter 5

 

10

11

14

Chapter 5, 6

HW3, HW4

 

15

16

Chapter 8

QUIZ

17

18

21

Review

HW5, HW6

22

23

Test 1

 

24

25

28

Chapter 9

HW8

29

30

Chapter 10, 12

 

October 1

2

5

Chapter 11

HW9

6

7

Chapter 11

QUIZ

8

9

Fall Break

12

Chapter 14

HW10, HW12

13

14

Chapter 14

QUIZ

15

16

19

Review

HW11

20

21

Test 2

22

23

26

Chapter 15

HW14

27

28

Chapter 17

 

29

30

November 2

Chapter 17

HW15

3

4

Chapter 18

QUIZ

5

6

9

Chapter 18

HW17

10

11

Chapter 18, 22

 

12

13

16

Chapter 22

HW18

17

18

Review

QUIZ

19

20

23

Test 3

HW22

24

25

26

Thanksgiving Holiday

27

30

Review

December 1

2

Academic Review Day

3

4

7

Final Exam

5:30 – 7:30

8

9

10

11

 

 

 

Math 2400 – Introduction to Statistics

Practice Problems and Homework Assignments

 

Text: The Basic Practice of Statistics, 5th edition, David S. Moore

 

Students are responsible for attempting all problems.   Problems on tests and quizzes will be drawn from those similar to the examples and exercises given in the text. 

 

 

Chapter

Extra Practice Problems

Check Your Skills Questions

1

1 – 11 all

23 – 41 odd

13 – 22 all

2

1 – 8 all, 10, 11, 13

25 – 35 odd, 39, 41

15 – 24 all

3

1 – 14 all

27 – 41 odd, 45

15 – 24 all

4

1 – 13 all

25 – 35 odd, 39

14 – 23 all

5

1, 2, 4, 6, 10,, 12, 15, 27, 34

17 – 26 all

6

1 – 4, 6, 18, 20 – 25 all

8 – 17 all

8

1 – 5 all, 9, 13, 14

25 – 27 all

16 – 24 all

9

1 – 6 all, 13, 14, 29, 31

19 – 27 all

10

1, 2, 4, 5, 8 – 18 all

31 – 43 all

21 – 30 all

12

1 – 16 all

17 – 26 all

11

1 –3, 5 – 13 all

23 – 35 odd

14 – 21 all

14

1 – 20 all

35 – 47 odd

24 – 33 all

15

1 – 12 all, 17

31, 39, 41

18 – 25 all

17

1, 2, 6 – 14 all

26 – 30, 33 – 38 all, 41, 44, 45

15 – 24 all

18

1 – 6, 8 – 10 all, 14

25 – 35 odd, 45, 46

16 – 24 all

22

1, 2, 5, 9, 10, 11, 13 – 17 all

30, 40, 42

18 – 27 all

24

1, 2, 5, 6, 7, 9, 10, 11

31 – 37 odd

15 – 23 all

 

STATS PORTAL Instructions:

1. Go to   http://courses.bfwpub.com/bps5e.php  (Mac users need to use Firefox).    

2. Click on the link "REGISTER AN ACTIVATION CODE."

3. Follow the on-screen instructions to find this course (Green – Elementary Statistics, Math 2400).   Select “Georgia,”  then NGCSU, then Green.  (leave section part blank)

4. Enter the activation code that came with your textbook or that you purchased online***.  Enter your email address, and choose a password.

*** students can also purchase access on the website by clicking on the “PURCHASE” link***