ELEMENTARY STATISTICS ( Official )
ELEMENTARY STATISTICS ( Official )

START CHANGE 2002-12-18 END CHANGE 2002-12-18

 

 

SECTION A

 

1. Division:

  Sciences & Mathematics

2. Course Discipline:

  MATH.

3. Course Number:

  013

4. Course Title:

  ELEMENTARY STATISTICS

Administration of Justice



6.  Semester of First Offering:   2002-2003

 

 

 

SECTION B

 

 

General Course Information

 

1. Units: 4.0                 Variable units N/A

    

(*Units of credit are based on: 1 unit of credit per one hour of lecture (plus 2 hours of outside class independent study); 1 unit of credit per three hours of activity or lab.)

2. This Course is:

Associate Degree Credit - Transferable

 

3A.  Cross-List:                                        3B.  Formerly:

                                  

 

Course Format and Duration

 

4. Standard Term Hrs per Wk

      

5. Positive Attendance Total Semester Hrs

Lecture/Discussion:  

               4

 

Lecture/Discussion:  

                 

Lab:

                 

 

Lab:

                 

Activity:

                 

 

Activity:

                 

By Arrangement:

                 

 

By Arrangement:

                 

Total Hrs per Wk

               4

 

Total Hrs

                 

 

6. Hours per week of independent work done outside of class:    8

 

Course Preparation – (Supplemental form B required)

 

7a. Prerequisite(s): (Course and/or other preparation/experience that is REQUIRED to be completed previous to enrollment in this course.)

Two years of high school algebra or Math. D or equivalent with a grade of "C" or better, or placement by matriculation assessment process

    

7b. Co-requisite(s):  (Courses and/or other preparation that is REQUIRED to be taken concurrently with this course.)


    

7c. Advisory: (Minimum preparation RECOMMENDED in order to be successful in this course.  Also known as “Course Advisory”.)


    

 

 

Catalog Description And Other Catalog Information

 

8. Repeatability:

Not Repeatable

    

9a. Grading Option:

Standard Grade

9b. Catalog Description:

Introductory course in probability and statistics, including descriptive statistics, techniques and principles of counting, probability, inferential statistics; and use of statistical computer software or statistical graphics calculator. Specific calculator required for course will be purchased by students. (CAN STAT 2)

    

 

 

Course Outline Information

 

10. Student Performance Outcomes: (Outcomes for all credit courses must indicate that students will learn critical thinking and will be able to apply concepts at college level.  Outcomes must be related to items listed in Section 11.)

Through homework assignments, quizzes, exams, projects and classroom
discussions, the student will:
1. summarize data by constructing a frequency table and a histogram;
2. calculate and interpret descriptive statistics, and measures of
central tendency, measures of dispersion, and measures of position;
3. calculate probabilities for simple and compound events;
4. determine whether events are independent or mutually exclusive;
5. calculate conditional probabilities;
6. determine probabilities through simulations;
7. calculate probabilities for discrete random variables with
binomial or Poisson probability distributions;
8. calculate the mean, variance, and standard deviation for the
binomial distribution;
9. calculate areas under the standard normal curve;
10. calculate probabilities for continuous random variables with a
non-standard normal distribution;
11. approximate the binomial distribution with the normal curve when
appropriate;
12. apply the Central Limit Theorem to determine probabilities
concerning the mean of a sample;
13. calculate confidence intervals for a population mean for either
large or small sample sizes;
14. calculate a confidence interval to estimate a binomial
proportion;
15. calculate a confidence interval to estimate a population
variance (time permitting);
16. use an appropriate hypothesis test to test a claim about a
population mean, a population variance (or standard deviation), a
population proportion, a difference of population means (large and
small samples), and a difference of population proportions;
17. draw a scatter diagram for a set of paired data;
18. calculate the correlation coeficient for a set of paired data;
19. use a hypothesis test to determine whether or not a correlation
coefficient is significant (time permitting);
20. calculate the regression equation for a set of paired data;
21. perform chi-square goodness of fit tests for multinomial
experiments (time permitting);
22. utilize statistical software and/or a statistical graphics
calculator to display and calculate; and
23. analize and interpret accurately the results and output of
computer software and or graphics calculator.

    

11. Course Content Outline: (Provides a comprehensive, sequential outline of the course content, including all major subject matter and the specific body of knowledge covered.)

I. Instruction in the Use of the Computer Software and/or the
Graphics Calculator Will Occur Throughout the Course
II. Descriptive Statistics
A. Graphical Representation
B. Frequency Tables
C. Exploratory Data Analysis
D. Measures of Central Tendency
E. Measures of Dispersion
F. Measures of Position
G. Empirical Rule
H. Chebychev''s Theorem
III. Counting and Probability
A. Principles of Counting Including Combinations and
Permutations
B. Introduction to Probability-Classical and Frequency
Approach
C. Introduction to Stochastic Simulation
D. Discrete Random Variables and Probability Distributions
Including Binomial and Poisson Distributions
1. mean, variance and standard deviation of discrete
probability distributions
IV. Normal Distribution and the Central Limit Theorem
A. Continuous Random Variables Including the Normal
Distribution
B. Central Limit Theorem
C. Normal Approximation to the Binomial Distribution
V. Inferential Statistics
A. Estimation, Large and Small Samples
1. point estimates
2. confidence intervals
3. determination of sample size
B. Hypothesis Testing
1. single mean, large and small samples
2. difference of means, large and small samples
3. single proportion
4. difference of two proportions
5. single variance
6. equality of variances
7. contingency tables and goodness of fit tests
C. Regression and Correlation
1. linear correlation coefficient
2. linear regression model
3. forecasting
4. related hypothesis testing
D. Nonparametric Methods
E. One Way Analysis of Variance

    

12. Typical Assignments: (Credit courses require two hours of independent work outside of class per unit of credit for each lecture hour. List types of assignments, including library assignments.)

    

a. Reading Assignments: (Submit at least 2 examples)


    

b. Writing, Problem Solving or Performance: (Submit at least 2 examples)


    

c. Other (Terms projects, research papers, portfolios, etc.)


    

 

 

 

SECTION D

 

General Education Information:  

1.  College Associate Degree GE Applicability:    


Communication & Analytic Thinking
Math Competency

2.  CSU GE Applicability (Recommended-requires CSU approval):


B-4 Mathematics/Quantitative Reasoning

3.  IGETC Applicability (Recommended-requires CSU/UC approval):  


2: Mathematical Concepts & Quantitative Reasoning

4. CAN:  

  STAT 2

 

 

SECTION E

 

Articulation Information:  (Required for Transferable courses only)

 1.  

 

CSU Transferable.  

UC Transferable.

CSU/UC major requirement.  

  

If CSU/UC major requirement, list campus and major. (Note: Must be lower division)

 

 


 2.

List at least one community college and its comparable course.  If requesting CSU and/or UC transferability also list a CSU/UC campus and comparable lower division course.

 


 

 

SECTION F

 

Resources:  

Please consider the identified concerns below:

1. Library: Please identify the implications to the library  


2. Computer Support Services: Please identify the implications to Computer Support Services: 


 

 

SECTION G

 

1.  Maximum Class Size (recommended):                 

2.  If recommended class size is not standard, then provide rationale: