SRJC Course Outlines

 9/12/2024 11:56:31 AM MATH 15 Course Outline as of Fall 2006 Changed Course CATALOG INFORMATION Discipline and Nbr:  MATH 15 Title:  ELEMENTARY STATISTICS Full Title:  Elementary Statistics Last Reviewed:1/9/2024

 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
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: Untitled document
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.

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: BMC Communication and Analytical ThinkingMath 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 CSU Transfer: Transferable Effective: Fall 1989 Inactive: UC Transfer: Transferable Effective: Fall 1989 Inactive: C-ID: CID Descriptor: MATH 110 Introduction to Statistics SRJC Equivalent Course(s): MATH15 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 Baye's 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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Instructional methodology may include, but is not limited to:  lecture,
demonstrations, oral recitation, discussion, supervised practice,
independent study, outside project or other assignments.
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. 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 (approximately 0-50 pages per week),
2. Problem set assignments from required text(s) or supplementary
materials chosen by the instructor,
3. Exams and quizzes,
4. Projects.

 Writing: Assessment tools that demonstrate writing skill and/or require students to select, organize and explain ideas in writing. Writing0 - 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 Solving5 - 20% Homework problems Skill Demonstrations: All skill-based and physical demonstrations used for assessment purposes including skill performance exams. Skill Demonstrations0 - 0% None Exams: All forms of formal testing, other than skill performance exams. Exams70 - 95% Multiple choice, Free reponse exams, quizzes Other: Includes any assessment tools that do not logically fit into the above categories. Other Category0 - 10% Projects (e.g., computer activities, surveys or data collection and analysis)

Representative Textbooks and Materials:
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Text(s) required of each student will be selected by the department,
a committee of the department, or the responsible instructor from the
books currently available. Choices in the past have included:
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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