12/21/2024 8:23:16 AM |
| Changed Course |
CATALOG INFORMATION
|
Discipline and Nbr:
MATH 15 | Title:
ELEMENTARY STATISTICS |
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Full Title:
Elementary Statistics |
Last Reviewed:10/28/2024 |
Units | Course Hours per Week | | Nbr of Weeks | Course Hours Total |
Maximum | 4.00 | Lecture Scheduled | 4.00 | 17.5 max. | Lecture Scheduled | 70.00 |
Minimum | 4.00 | Lab Scheduled | 0 | 6 min. | Lab Scheduled | 0 |
| Contact DHR | 0 | | Contact DHR | 0 |
| Contact Total | 4.00 | | Contact Total | 70.00 |
|
| Non-contact DHR | 0 | | Non-contact DHR Total | 0 |
| Total Out of Class Hours: 140.00 | Total Student Learning Hours: 210.00 | |
Title 5 Category:
AA Degree Applicable
Grading:
Grade or P/NP
Repeatability:
00 - Two Repeats if Grade was D, F, NC, or NP
Also Listed As:
Formerly:
Catalog Description:
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Exploration of concepts in statistics, descriptive statistics, probability theory (including but not limited to the uniform, binomial, Poisson, normal, chi-square and t distributions), Central Limit Theorem, estimation of population parameters from a sample, hypothesis testing (including parametric and nonparametric methods), correlation and linear regression, introduction to analysis of variance, computer simulations.
Prerequisites/Corequisites:
Completion of MATH 155 or higher (VE)
Recommended Preparation:
Limits on Enrollment:
Schedule of Classes Information
Description:
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Exploration of concepts in statistics, descriptive statistics, probability theory, Central Limit Theorem, estimation of population parameters from a sample, hypothesis testing, correlation and linear regression, introduction to analysis of variance, computer simulations.
(Grade or P/NP)
Prerequisites:Completion of MATH 155 or higher (VE)
Recommended:
Limits on Enrollment:
Transfer Credit:CSU;UC.
Repeatability:00 - Two Repeats if Grade was D, F, NC, or NP
ARTICULATION, MAJOR, and CERTIFICATION INFORMATION
Associate Degree: | Effective: | Fall 1981
| Inactive: | |
Area: | B MC
| Communication and Analytical Thinking Math Competency
|
|
CSU GE: | Transfer Area | | Effective: | Inactive: |
| B4 | Math/Quantitative Reasoning | Fall 1990 | |
|
IGETC: | Transfer Area | | Effective: | Inactive: |
| 2A | Mathematical Concepts & Quantitative Reasoning | Fall 1993 | |
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CSU Transfer: | Transferable | Effective: | Fall 1989 | Inactive: | Fall 2025 |
|
UC Transfer: | Transferable | Effective: | Fall 1989 | Inactive: | |
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C-ID: |
CID Descriptor: MATH 110 | Introduction to Statistics | SRJC Equivalent Course(s): STATC1000 OR PSYC9 |
Certificate/Major Applicable:
Major Applicable Course
COURSE CONTENT
Outcomes and Objectives:
At the conclusion of this course, the student should be able to:
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Upon successful completion of the course, students will be able to:
1. Create and use graphic displays of data and frequency distributions.
2. Define mean, median, mode, percentiles, variability and standard
deviation and compute each for sets of data.
3. Use laws of probability and Bayes' formula.
4. Define and apply combinations, permutations, sample space, and
probability distributions.
5. Apply Central Limit Theorem.
6. Calculate sampling distributions of means, proportions and standard
error.
7. Compute confidence intervals and required sample size.
8. Perform hypothesis testing for mean, proportion and variance.
9. Implement goodness of fit test, the test for independence, and
Analysis of Variance.
10. Discuss linear regression and correlation, and use technology to
compute regression equations.
11. Use statistics software package for evaluation of data and inference.
Topics and Scope
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I. Statistical Description
A. Graphic display of data
B. Frequency distributions
C. Mean
D. Median
E. Mode
F. Percentiles
G. Variability
H. Standard deviation
I. Chebyshev's Theorem
II. Counting and Probability Distributions
A. Laws of probability and counting
B. Combinations
C. Permutations
D. Probability distributions (including, but not limited to, the
following)
1. Uniform
2. Binomial
3. Poisson
4. Normal
5. Chi-square
6. Student t
III. Statistical Inference
A. Sampling distributions
1. Means
2. Proportions
3. Differences of means
B. Standard error
C. Central Limit Theorem
D. Confidence intervals
E. Hypothesis testing (parametric and extended nonparametric)
1. Mean
2. Proportion
3. Differences of means
4. Variances
5. Goodness of fit and independence
F. Required sample size
G. Correlation and linear regression
H. Introduction to analysis of variance
IV. Use of Computer and Electronic Calculator
A. Evaluation of data
B. Methods of simulations
Assignments:
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1. Daily reading outside of class (0-50 pages per week)
2. Problem set assignments from required text(s) or supplementary
materials chosen by the instructor
3. Exams (2-4) and a final exam; quizzes (0-20)
4. Projects, e.g. computer activities, surveys or data collection and analysis (0-2)
Methods of Evaluation/Basis of Grade.
Writing: Assessment tools that demonstrate writing skill and/or require students to select, organize and explain ideas in writing. | Writing 0 - 0% |
None | |
This is a degree applicable course but assessment tools based on writing are not included because problem solving assessments are more appropriate for this course. |
|
Problem solving: Assessment tools, other than exams, that demonstrate competence in computational or non-computational problem solving skills. | Problem Solving 10 - 30% |
Problem sets | |
Skill Demonstrations: All skill-based and physical demonstrations used for assessment purposes including skill performance exams. | Skill Demonstrations 0 - 0% |
None | |
Exams: All forms of formal testing, other than skill performance exams. | Exams 70 - 80% |
Objective exams, quizzes, final | |
Other: Includes any assessment tools that do not logically fit into the above categories. | Other Category 0 - 10% |
Projects | |
Representative Textbooks and Materials:
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Elementary Statistics (3rd ed.). Larson, Ron and Farber, Betsy. Pearson:
2006.
Elementary Statistics (5th ed.). Bluman, Allan. McGraw-Hill: 2004.
Modern Elementary Statistics (11th ed.). Freund, John. Pearson: 2004.
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