FAYETTEVILLE STATE UNIVERSITY
Department of Mathematics and Computer Science
Course Syllabus, Spring 2000
e-mail me gkerbaugh@earthlink.net
Finding the Means of Histograms Intuitively
Patrik Lundin's Graphing Calculator
Locating Correct Cells in Contingency Tables
Central
Limit Theorem Tutorial
Sampling Animation & Web Exercise I
ECU Ma2283 Online Section Introduction
Animation on Seasonal Effects of Solar Heating
| I. | LOCATOR INFORMATION: | |
| Course Offered: | Fall, Spring, and Summer Semesters Yearly | |
| Year: | 2000 | |
| Course Number and Name | STAT 202 | Basic Probability and Statistics |
| Semester Hours of Credit: | 3 | |
| Time Class Meets: | 12:30 - 1:45 pm. | |
| Days Class Meets: | Tuesday and Thursday | |
| Where Class Meets: | SBE /145 | (Room / Bldg.) |
| Instructor's Name: | Dr. Gary Kerbaugh | |
| Office Location: | SBE 335B | |
| Office Telephone: | 486-1517 | |
| Office Hours: | TR 11:00 am - 12:30 pm | |
| TR 1:45 - 3:15 pm. | ||
| MW 3:00 - 4:00 pm. | ||
| MW %:15 - 6:15 pm. | ||
| Other Office Hours by Appointment | ||
| Final Exam: | May 4 12:30 - 2:20 pm | |
II. COURSE DESCRIPTION
Mathematics 202 is a basic course in probability and statistics. The aim is to introduce the basic concepts of probability and statistics with an emphasis on applications. After completion of this course students will have the background that will enable them to apply these concepts in business and the socials sciences.
Topics Include: Descriptive Statistics, Probability, Binomial Probability Distributions, Normal Probability Distributions, Sampling Distributions, Estimation, Hypothesis Testing, Regression.
| Prerequisite: | MATH 123, MATH 131 or equivalent |
III. TEXTBOOK
Johnson, Robert. Elementary Statistics, 7th Edition, PWS-Kent, Boston, MA. 1996.
A list of the competencies that students will have mastered on successful completion of this course:
The ability to present numerical answers to statistical problems in complete sentences that accurately describe the statistical meaning of the results.
The ability to recognize and describe the major components of a statistical study, including the sample, the population, the raw data, the variable, and the inference. This information must be gleaned from the briefest description of the study.
The ability to classify real world problems according to statistical type based on the information presented in the problems.
The ability to organize the information from a real world problem and assign the numerical quantities presented to the appropriate statistical variables.
The ability to assign numerical probabilities to real world occurrences
The ability to use numerical probabilities to make probabilistic predictions of real world events and to express these predictions in clear and statistically meaningful sentences.
The ability to the create the appropriate random variable to represent data from real world problems and to recognize the correct probability distributions associated with those random variables.
Possess knowledge of the relationship between the probability distributions of a given random variable and an associated sampling statistic.
The ability to make confidence interval estimates of population parameters on the basis of sample statistics.
The ability to write statistically meaningful hypotheses to be used to formulate tests of the states of real world random variables.
The ability to perform tests of states of random variables in real world hypotheses.
The ability to perform linear regressions on pairs of real world random variables.
V. EVALUATION CRITERIA/GRADING SCALE
There will be four tests and a comprehensive final exam. The grading scale for determining the course grade and the weights assigned to tests, final examination, and homework are given below. The in class tests and final exam will be graded on a 100 point scale. Homework will be collected randomly at a rate averaging about once a week and given a grade of either pass or fail. The homework score will depend on the percentage of passing grades assigned for collected assignments. Late homeworks will not be accepted and the final exam grade will be used as the grade for all tests that are missed. Make up tests will not be given. The lowest score for an in class test will be dropped and the class test average will be computed as in the example below. The percentage of passing homework grades will be multiplied by four, rounded, and the result added to the test average.
Example:
To see how your grade will be calculated, suppose your test scores are 85, 81, 84, and 90, your final exam score is 88 and you received a passing grade on 50% of the homework collected. Since the lowest test grade is dropped (see item 1 under COURSE REQUIREMENTS), your grade would be calculated as follows:
0.20 * [ (81 + 85 + 84 + 90) ] + 0.20 * 88 = 85.6
85.6 + .50*4 = 85.6 + 2 = 87.6 = 88
Since 88 is between 80 and 89 you would receive a grade of B.
Weights Assigned to graded materials:
| In Class Tests | 20% Each |
| Comprehensive Final Examination | 20% |
| Homework | 4% Extra Credit |
Grading Scale:
| A | 90 - 100% | Tests 80% |
| B | 80 - 89% | Final Exam 20% |
| C | 70 - 79% | |
| D | 60 - 69% | |
| F | Below 60% |
VIa*. COURSE OUTLINE
See attached calendar.
* Subject to change by myself for the optimization of instructional assistance.
VIb. READING ASSIGNMENTS:
Read each section prior to the presentation of the topic in class.
VII. COURSE REQUIREMENTS
Conduct of Course/Classroom Decorum
| 1. | Students are responsible for availing themselves of all class meetings, Tutorial sessions, computer lab sessions, and individual help from the instructor. There are computer software tutorials available for your use on the World Wide Web. |
| 2. | Students are responsible for maintaining a notebook of problems selected by the instructor. Students are encouraged to include as many additional problems as is possible |
| 3. | All tests will be announced prior to their administration. Since the lowest test will be dropped no make-up test will be given. There will be a test given at the end of each chapter, except possibly for chapter 6, and there will be a comprehensive final examination given. |
| 4. | Students are expected to enter the classroom on time and remain until the class ends. Late arrivals and early departures will be noted in the record book. The class attendance policy set forth in the 1996-1998 FSU Catalogue will be strictly adhered to. |
| 5. | Students must refrain from smoking, eating, and drinking in the classroom. The rights of others must be respected at all times. |
| 6. | Students are encouraged to ask questions of the instructor in class and to respond to those posed by the instructor. They should not discourage others from asking or answering questions. Other students often have the same questions on their minds, but are hesitant to ask. |
| 7. | Students are expected to complete all class assignments and to spend adequate time on their class work and to read each topic prior to class discussion to insure that the course objectives are met. Two hours of home study is expected for each hour of class. |
| 8. | Talking in class between students is strictly unacceptable. Discussions should be directed to the instructor. |
| 9. | Meeting with the professor during office hours and use as tutorials available on the Web are mandatory for students whose grades fall below C. They must meet the instructor and discuss these tutorials. |
| 10. | Dishonesty on graded assignments will not be tolerated. Students must neither give nor receive help on any work to be graded. The University policy on cheating will be applied to any violations. The minimum penalty will be a grade of zero on the assignment. |
VIII. COURSE OUTLINE WITH ASSIGNMENT SCHEDULE*
| MO | DA | LECTURE | ASSIGNMENT |
| Jan. | 11 |
Introduction, Uses of Statistics, Statistical Terminology, |
p. 12-20 #6, 8, 11, 17, 18, 19 |
| Jan. | 13 | Measurement and Variability | p, 20 #23-25, 27-29, 36-38, 44, 48 |
| Jan. | 18 | Snow Day | |
| Jan. | 20 | Graphical Presentation of Qualitative Data |
p. 48 #1-3, 9-11, 22 |
| Jan. | 25 | Snow Day | |
| Jan. | 27 | Stem-and-Leaf Displays, Frequency Distributions, and Histograms |
p. 31 #50, 51, 53 |
| Feb. | 1 | Measures of Central Tendencies and Variation | p. 48 #22 p. 74 49, 51, 53, 54, 55, 58, 61(do histogram in part a.) p. 83 #69, 70, 73, 74ac |
| Feb. | 3 | The Standard Deviation, Review |
p. 74 #55, 57, 58, 61, 63-65 |
| Feb. | 8 | Standard Deviation, z-score, Outliers, and Review | p. 102 #113, 114 p. 108 #129, 130, 134 |
| Feb. | 10 |
TEST #1 |
|
| Feb. | 15 | Introduction to Probability | p. 192 #1, 2 p. 196 #9, 12 p. 203 #18, 22, 23, 24, 25, 28 Contingency Table for #18, 23, 24, 25 |
| Feb. | 17 | Terminology, Addition Rule, Intersection, Union | p. 208 #37, 43, 45, 47, 48 p. 216 #53, 55-64 |
| Feb. | 22 | Intersection, Union | Statistics Handout #1 p.225 #82, 84 |
| Feb. | 24 | Conditional Probability | Statistics Handout #1 p. 236 #103ab, 105 |
| Feb. | 29 | Independence | Statistics Handout #2 |
| March | 2 | Review | |
| March | 6-10 | Spring Break | |
| March | 14 | TEST #2 | |
| March | 16 | Probability Distributions and Contingency Tables |
p. 252 #1-4, 6, 7 |
| March | 21 | Binomial Probability Distributions | p. 263 #30, 33, 34 p. 273 #35, 39, 43, 47-50, 52, 57, 61, 61,63, 66, 67, 71 p. 279 #80, 87, 88 |
| March | 23 | Binomial Review | |
| March | 28 | Normal Probability Distributions, z-scores |
p. 296 #1-10, 11ac, 13, 19, 20acd, 21c, 22e, 24bc, 25, 26, 28-30 |
| March | 30 | Normal Probability Distributions | p. 306 #31-36, 42abdf, 44, 45, 46b, 49-51, 54 p. 312 #61-64, 65acdef, 68 p. 316 #73-75, 81-83 |
| April | 4 | Sampling Distributions |
p. 340 #15, 16 |
| April | 6 | Review | p. 320 #97 p. 340 #14, 15 p. 344 #22, 23 p. 347 #35 |
| April | 11 |
TEST #3 |
|
| April | 13 | Confidence Interval Estimation | p. 364 #2-6, 11 p. 375 #13, 14, 17-19, 26, 27, 30, 31, 33, 34 p. 465 #43-50, 51a, 52, 56, 57, 66, 71 |
| April | 18 | Testing Hypothesis about Population Means and Proportions | p. 385 #37-44, 46, 49, 54, 55 p. 465 #73, 74, 79abc, 81, 82, 85 |
| April | 20 | Errors in Hypotheses | p. 385 #47, 48, 50, 51, 54 p. 465 #73, 74, 79abc, 81, 82, 85 p. 402 #87, 88 p. 416 #101, 102, 106, 107, 118-120 p. 420 #124-126 |
| April | 25 | Bivariate Data, Linear Regression and Correlation | p. 652 #4, 5, 9 p. 658 #14, 15 p. 669 #32, 35abc p. 674 #44 |
| April | 27 | Review | |
| May | 2 | TEST #4 |
|
| May | 3 | Review | |
| May | 4 | FINAL EXAMINATION |
* This schedule is subject to change for the optimum benefit of the class as a whole. Therefore, it is important to stay alert and attend class regularly.