# SRJC Course Outlines

10/25/2021 12:30:30 PM | MATH 15 Course Outline as of Fall 2006
| Changed Course |

CATALOG INFORMATION |
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Discipline and Nbr: MATH 15 | Title: ELEMENTARY STATISTICS | |

Full Title: Elementary Statistics | ||

Last Reviewed:10/22/2018 |

Units | Course Hours per Week | Nbr of Weeks | Course Hours Total | ||||
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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 |

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 |
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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: |
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CID Descriptor: MATH 110 | Introduction to Statistics | SRJC Equivalent Course(s): MATH15 OR PSYCH9 |

Certificate/Major Applicable: Major Applicable Course

__COURSE CONTENT__**Outcomes and Objectives:**

Upon completion of the course, students will 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 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**

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:**

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.

**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% |
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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 5 - 20% |
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Homework problems | |||

Skill Demonstrations: All skill-based and physical demonstrations used for assessment purposes including skill performance exams. | Skill Demonstrations 0 - 0% |
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None | |||

Exams: All forms of formal testing, other than skill performance exams. | Exams 70 - 95% |
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Multiple choice, Free reponse exams, quizzes | |||

Other: Includes any assessment tools that do not logically fit into the above categories. | Other Category 0 - 10% |
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Projects (e.g., computer activities, surveys or data collection and analysis) |

**Representative Textbooks and Materials:**

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.