12/21/2024 8:23:16 AM	MATH 15 Course Outline as of Summer 2011	Changed Course
CATALOG INFORMATION
Discipline and Nbr:  MATH 15	Title:  ELEMENTARY STATISTICS
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:

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:

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
CSU Transfer:	Transferable	Effective:	Fall 1989	Inactive:	Fall 2025
UC Transfer:	Transferable	Effective:	Fall 1989	Inactive:
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:

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

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:

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:

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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