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MASTER SYLLABUS |
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MATH 1530 |
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| Class Hours: 2.0 | Credit Hours: 3.0 | ||||||||
| Laboratory Hours: 2.0 | Revised: Fall 04 | ||||||||
| Catalog Course Description: | |||||||||
| Topics include elementary probability theory, concepts of descriptive statistics, discrete and continuous distributions, hypothesis testing, confidence intervals, sample sizes, correlation, regression, multinomial and contingency tables. Noncalculus based. Computer applications will be investigated. | |||||||||
| Entry Level Standards: | |||||||||
| Students must be able to read, write, and speak at the college level. | |||||||||
| Prerequisites: | |||||||||
| High school algebra I and algebra II and ACT math score of at least 19; or DSPM 0850 or equivalent math placement score. | |||||||||
| Textbook(s) and Other Course Materials: | |||||||||
| Textbooks:
Triola, Mario F. Essentials of Statistics, 2nd ed. Addison Wesley Longman. Triola, Mario F. Statdisk Student Laboratory Manual and Workbook, 9th ed. Addison Wesley Longman. (not required by all instructors) Personal Equipment: A scientific calculator that will compute one- & two-variable statistics is required. The TI-83 or TI-83 Plus Graphing Calculators are recommended. |
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| I. Week/Unit/Topic Basis: | |||||||||
| Some topics are indicated as optional and may be omitted at instructors’ discretion. If more time is needed, topics in weeks 1 through 12 may expand into week 13 which contains optional topics on multinomial tests. Placement of tests is for suggestion only and may be altered by the instructor to fit their coverage more adequately. | |||||||||
| Week | Topic | ||||||||
| 1 | Introduction to statistics (1-1); types of data and design of experiments (1-2, 1-3, 1-4); summarizing data and graphical representations (2-2 & 2-3) (computer applications will be investigated during each of the remaining weeks as needed) | ||||||||
| 2 | Measures of center (2-4), variation (2-5), and position (2-6); boxplots and exploratory data analysis (2-7); review | ||||||||
| 3 | Test 1; fundamentals of probability (3-2); addition and multiplication rules (3-3 & 3-4) | ||||||||
| 4 | Random variables, probability distributions, and expectation (4-2); Binomial probability distributions (4-3); the mean, variance, and standard deviation for binomial distributions (4-4) | ||||||||
| 5 | Review; Test 2; standard normal distribution (5-2) | ||||||||
| 6 | Nonstandard normal distributions (5-3); The Central Limit Theorem (5-5); | ||||||||
| 7 | Review; Test 3; confidence intervals and minimum sample sizes; estimating a population proportion (6-2); | ||||||||
| 8 | Estimating a population mean sigma known (optional) (6-3); estimating a population mean sigma unknown (6-4) | ||||||||
| 9 | Basics of hypothesis testing (7-2); testing a claim about a proportion & p values (7-3) | ||||||||
| 10 | Testing a claim about a mean using a z test (optional) (7-4); testing a claim about a mean using a t test (7-5) | ||||||||
| 11 | Testing a claim about standard deviation or variance (7-6); review; Test 4; | ||||||||
| 12 | Linear regression (9-2) and correlation (9-3); | ||||||||
| 13 | Chi-Square tests; Multinomial experiments and Goodness-of-fit Test (optional) (10-2); Contingency Tables: Tests of independence and homogeneity (optional) (10-3) | ||||||||
| 14 | Review; Test 5; review for final | ||||||||
| 15 | Final Exam Period | ||||||||
| II. Course Objectives*: | |||||||||
| A. | Collect and assemble quantitative data making wide use of tables and graphs. VI.1,4,6 | ||||||||
| B. | Analyze a given set of data and accurately describe the data by interpreting the significance of the mean, median, mode, and standard deviation. VI.1,4,5,6 | ||||||||
| C. | Use the basic principles of probability. VI. 1,2,4,6 | ||||||||
| D. | Develop a working knowledge of probability and its application to the binomial and the normal distribution. VI. 1,2,3,4,5,6 | ||||||||
| E. | Understand sampling and sampling distributions and their applications in business and industry. VI.1,2,3,4,5,6 | ||||||||
| *Roman numerals after course objectives reference TBR's general education goals. | |||||||||
| III. Instructional Processes*: | |||||||||
| Students will: | |||||||||
| 1. | Use a scientific calculator and/or computer software to compute descriptive statistical values and to aid in analysis of real world problems. Technological Literacy Outcome, Transitional Strategy, Active Learning Strategy | ||||||||
| 2. | Complete laboratory exercises that include topics such as collection and analysis of real world data. Numerical Literacy Outcome, Active Learning Strategy, Transitional Strategy | ||||||||
| 3. | Work collaboratively on laboratory exercises to explore probability and statistical concepts. Numerical Literacy, Technological Literacy Outcome | ||||||||
| 4. | Construct charts, tables, and graphs to provide visual descriptions of numerical data. Numerical Literacy Outcome | ||||||||
| 5. | Identify and translate real-life data into empirical probability models. Numerical Literacy Outcome, Information Literacy Outcome, Transitional Strategy | ||||||||
| *Strategies and outcomes listed after instructional processes reference TBR's goals for strengthening general education knowledge and skills, connecting course work to experiences beyond the classroom, and encouraging students to take active and responsible roles in the educational process. | |||||||||
| IV. Expectations for Student Performance*: | |||||||||
| Upon successful completion of this course, the student should be able to: | |||||||||
| 1. | Construct a frequency distribution. A | ||||||||
| 2. | Graph a frequency distribution as a histogram. A | ||||||||
| 3. | Solve for the mean of raw data scores and frequency distributions. B | ||||||||
| 4. | Solve for variance and standard deviation of raw data scores and frequency tables. B | ||||||||
| 5. | Determine the mean, variance, and standard deviation of a probability distribution. D | ||||||||
| 6. | Calculate mathematical expectation. D | ||||||||
| 7. | Solve for the probability, mean, variance, and standard deviation of binomial experiments. C | ||||||||
| 8. | Solve basic probability problems. C | ||||||||
| 9. | Apply the addition and multiplication rules. C | ||||||||
| 10. | Define and use the rules of complementary events. C | ||||||||
| 11. | Find the z-score. B | ||||||||
| 12. | Utilize the z-score when finding probabilities of nonstandard normal distributions. D | ||||||||
| 13. | Algebraically find the value of the random variable when given the corresponding area under the density curve. D | ||||||||
| 14. | Utilize the central limit theorem to find the probabilities of sample means. D, E | ||||||||
| 15. | Test hypotheses about population proportions and means. D, E | ||||||||
| 16. | Utilize confidence intervals. D, E | ||||||||
| 17. | Calculate appropriate sample sizes for tests of proportions and means. D, E | ||||||||
| 18. | Determine linear correlation and determine a linear regression equation. E | ||||||||
| 19. | Test hypotheses involving multinomial experiments and contingency tables. E | ||||||||
| *Letters after performance expectations reference the course objectives listed above. | |||||||||
| V. Evaluation: | |||||||||
| A. Testing Procedures: | |||||||||
| Students are evaluated primarily on the basis of tests and a final exam. A minimum of 5 tests and the final exam are suggested. In addition, instructors may consider using quizzes, homework, or other assignments for assessment as deemed appropriate. | |||||||||
| B. Laboratory Expectations: | |||||||||
| Instructor should use Statdisk (Lab Manual available), Excel, Java Applets, and/or other statistical computer packages to investigate and analyze data in support of classroom lectures. Consider at least one lab activity for each chapter covered in the textbook. | |||||||||
| C. Field Work: | |||||||||
| As assigned by instructor. Suggest instructor consider at least one project involving data collection and investigation using methods discussed in class. | |||||||||
| D. Other Evaluation Methods: | |||||||||
| None | |||||||||
| E. Grading Scale: | |||||||||
| 93
- 100
A
88 - 92 B+ 83 - 87 B 78 - 82 C+ 70 - 77 C 60 - 69 D Below 60 F |
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| VI. Policies: | |||||||||
| A. Attendance Policy: | |||||||||
| Pellissippi State Technical Community College expects students to attend all scheduled instructional activities. As a minimum, students in all courses must be present for at least 75 percent of their scheduled class and laboratory meetings in order to receive credit for the course. Individual departments/programs/disciplines, with the approval of the vice president of Academic and Student Affairs, may have requirements that are more stringent. | |||||||||
| B. Academic Dishonesty: | |||||||||
| Individual instructors must distribute their policy on academic dishonesty during the first week of classes. | |||||||||
| C. Accommodations for disabilities: | |||||||||
| If you
need accommodation because of a disability, if you have emergency medical
information to share, or if you need special arrangements in case the building
must be evacuated, please inform the instructor immediately. Privately
after class or in the instructor's office.
To request accommodations students must register with Services for Students with Disabilities: Goins 127 or 131, Phone: (865) 539-7153 or (865) 694-6751 Voice/TDD. |
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