# SRJC Course Outlines

 9/18/2024 7:03:29 AM MATH 15 Course Outline as of Fall 1999 Changed Course CATALOG INFORMATION Discipline and Nbr:  MATH 15 Title:  ELEM STAT COMPUTER Full Title:  Elementary Statistics with Computer 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:  05 - May Be Taken for a Total of 4 Units
Also Listed As:
Formerly:

Catalog Description:
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Computer investigation, exploration and simulations of concepts in statistics, descriptive statistics, probability theory including the uniform, binomial, hypergeometric, Poisson, normal, chi-square and Student's t distributions, central limit theorem, estimation of population parameters from a sample, hypothesis testing including parametric and nonparametric methods, confidence intervals, correlation and linear regression, introduction to analysis of variance computer simulations and Monte Carlo methods.

Prerequisites/Corequisites:
Math 155.

Recommended Preparation:

Limits on Enrollment:

Schedule of Classes Information
Description: Untitled document
Computer investigation, exploration and simulations of concepts in statistics: descriptive statistics, probability theory, central limit theorem, estimation, hypothesis (parametric & non-parametric), confidence intervals, correlation and linear regression, analysis of variance.

Prerequisites:Math 155.
Recommended:
Limits on Enrollment:
Transfer Credit:CSU;UC.
Repeatability:05 - May Be Taken for a Total of 4 Units

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: Not Certificate/Major Applicable

COURSE CONTENT

Outcomes and Objectives:
At the conclusion of this course, the student should be able to:
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1. Apply graphic displays of data and frequency distrributions.
Define mean, median, mode, percentiles, variability, standard
deviation.
3. Apply laws of probability and Baye's formula.
4. Define combinations, permutations, sample space, probability
distributions.
5. Apply Central limit theorem.
6. Calculate sampling distributions of means, proportions, standard error
confidence intervals.
7. Apply hypothesis testing for mean, proportion, variance.
8. Apply goodness to fit and independence, required sample size,
correlation and linear regression, introduction to analysis of variance.
9. Apply statistics software package for evaluation of data and inference.

Topics and Scope
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1.  Statistical Description.
Graphic display of data, frequency distributions, mean, medium,
mode, percentiles, variability, standard deviation, Chebyshev's
Theorem.
2.  Counting and Probability Distributions.
Sample space, laws of probability, Bayes' Formula, combinations,
permutations, probability distributions (including the uniform,
binomial, hypergeometric, Poisson, normal, chi-square, and Student's
t), normal approximation to bionomial.
3.  Statistical Inference.
The sampling distributions of means proportions, standard error,
Central Limit Theorem, confidence intervals, hypothesis testing
(parametric and extended nonparametric), mean, proportion, variance,
large and small samples, goodness of fit and independence, required
sample size, correlation and linear regression, introduction to
analysis of variance.
4.  Uses of Computer and Electronic Calculator.
Use of statistics software package, evaluation of data, Monte Carlo
methods of simulations.

Assignments:
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1.  The student will have daily outside reading, problem set assignments
from required text(s), or instructor chosen supplementary materials.
2.  Instructional methodology may include, but not limited to: lecture,
demonstrations, oral recitation discussion, supervised practice,
independent study, outside project or other assignments.