Requisite Approval must be attached CITRUS COMMUNITY COLLEGE DISTRICT CREDIT COURSE OUTLINE DEPARTMENT Mathematics
COURSE NUMBER MATH 165
TITLE Introductory Statistics THIS COURSE IS CLASSIFIED AS: DEGREE APPLICABLE UNIT VALUE
4
LECTURE HOURS PER WEEK BASED ON 18 WEEK SEMESTER LAB HOURS ARRANGED PER WEEK BASED ON 18 WEEK SEMESTER
4 2
ENTRANCE SKILLS, PREREQUISITES, OR CO-REQUISITES Prerequisite: MATH 149 or 150. CATALOG COURSE DESCRIPTION Introductory course to statistics and probability, descriptive analysis, and presentation of data, hypothesis testing, statistical inference, normal curve, chi-square, and applications in diverse disciplines. Four hours lecture, twp hours lab arranged per week. CSU;UC (CAN STAT 2) CLASS SCHEDULE COURSE DESCRIPTION Introductory course to statistics and probability, descriptive analysis, and presentation of data, hypothesis testing, statistical inference, normal curve, chi-square, and applications in diverse disciplines. CSU;UC (CAN STAT 2) COURSE OBJECTIVES//STUDENT LEARNING OUTCOMES Upon successful completion of this course, the student should be able to: Communication/Computation/Creative, Critical, and Analytical Thinking 1.
Group raw data to create histograms and frequency polygon graphs by setting up a frequency distribution.
2.
Compute sample statistics (mean, median, mode, range, standard
CITRUS COMMUNITY COLLEGE DISTRICT MATH 165 Introductory Statistics
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deviation, variance, z-scores, and percentiles) to describe sample data by applying appropriate statistical formulas. 3.
Analyze a probability experiment to find the total number of possible outcomes in a sample space by applying the multiplication rule, permutations, and combinations.
4.
Determine the probability of an event to make predictions about real-world events by applying classical probability or empirical probability.
5.
Determine the probability of compound events to make predictions about real-world events by applying the addition, multiplication, and conditional probability rules.
6.
Compute the probability for X successes in n trails to make predictions about real-world events by applying the binomial or a hypergeometric distribution
7.
Compute probabilities for a normally distributed variable to simulate realworld applications by transforming the variable to a standard normal variable.
8.
Solve probability problems involving sample means for large samples to make predictions in real-world applications by applying the central limit theorem.
9.
Compute the margin of error to find a confidence interval for a population proportion or a population mean by applying the z-distribution or the tdistribution.
10.
Test claims about 1 or 2 population proportions and 1 or 2 population means to make inferences about a population by applying the five steps of hypothesis testing with the z-test or the t-test.
11.
Analyze two variables statistics to determine their relationship by applying the correlation coefficient and the equation of the line of regression.
12.
Test a distribution for goodness of fit, test 2 variables for independence, and test proportions for homogeneity to make conclusions about a population by applying the chi-square distribution.
Technology
CITRUS COMMUNITY COLLEGE DISTRICT MATH 165 Introductory Statistics
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1.
Demonstrate an understanding of the basic functions and keystroke sequences of a scientific calculator by evaluating statistical formulas.
2.
Demonstrate an understanding of Microsoft Excel in computer projects by performing the following: a. construct graphs (column chart, pie chart, time series chart) using the Chart Wizard b. compute descriptive statistics for raw and grouped ideas c. stimulate games of chance d. analyze discrete and continuous probability distributions e. test claims on population mean (s) using hypothesis testing
Community/Global Consciousness and Responsibility 1.
Develop effective strategies to collaboratively work with others to complete designated assignments in a timely, efficient manner by completing activities in small groups.
2.
Prioritize activities by developing habitual study strategies designed to reduce anxiety and stress.
REQUIRED TEXTS AND MATERIALS Elementary Statistics, A Step by Step Approach, Bluman, 6th ed, 2007, McGrawHill A two-variable scientific calculator or a graphing calculator. The reading for this course is: PRIMARILY COLLEGE LEVEL DEGREE APPLICABLE COURSE: 2 hours of independent work done out of class per each hour of lecture or class work, or 3 hours lab, practicum, or the equivalent, per unit. COURSE CONTENT I.
The Nature of Probability and Statistics
II.
Frequency Distributions and Graphs
III.
Data Descriptions
CITRUS COMMUNITY COLLEGE DISTRICT MATH 165 Introductory Statistics
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IV.
Probability and Counting Rules
V.
Discrete Probability Distributions
VI.
The Normal Distribution
VII.
Confidence Intervals and Sample Size
VIII.
Hypothesis Testing
IX.
Testing the Difference between Two Means, Two Variances, and Two Proportions
X.
Correlation and Regression
XI.
Other Chi-Square Tests
METHODS OF INSTRUCTION Lectures Mini lectures Media/technology presentations Comparison/contrast analyses Models and demonstrations Collaborative assignments In-class readings Inquiry strategies Problem-solving evaluations In-class worksheets METHODS OF ASSESSMENT/EVALUATION Final evaluations will be made using classroom activities such as worksheets, supervised discussions and inquiries, item and error analysis of student solutions homework assignments, objective-based quizzes and tests, individual computer projects and presentations to determine student success meeting course skills, knowledge, and concepts. A course grade may not be based solely on attendance. Revised & Classified: October, 1990 Revised: May, 1993 Revised: March, 1994
CITRUS COMMUNITY COLLEGE DISTRICT MATH 165 Introductory Statistics Revised: March, 1995 Revised: March, 1996 Revised: March, 1997 Revised: February, 1998 Revised: February, 1999 Revised: February, 2002 Revised: January, 2006
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CITRUS COMMUNITY COLLEGE DISTRICT REQUISITE APPROVAL The Requisite Approval form must be completed for any course that carries a prerequisite, corequisite, or limitation on enrollment as indicated on the Course Approval form. Department: Mathematics Course number: MATH 165 I.
Title: Introductory Statistics
RECOMMENDED REQUISITE(S): Prerequisite: MATH 149 or MATH 150.
II.
TYPE OF REQUISITE AND THE APPROPRIATE LEVEL OF SCRUTINY. CIRCLE THE APPROPRIATE LETTER: A.
STANDARD. 1.
Faculty must identify three campuses of CSU or UC that offer the equivalent course with the equivalent prerequisite in order to demonstrate that the prerequisite is a usual and reasonable one. CSU Cal Poly, Pomona, CSU, Fullerton, UCLA
2.
III.
Include in the content review a comparison of the catalog course descriptions and requisite statements.
CONTENT REVIEW. FACULTY SHOULD BASE CONTENT REVIEW ON THE SYLLABUS AND OUTLINE OF RECORD, TESTS, RELATED INSTRUCTIONAL MATERIALS, TESTS, AND GRADING CRITERIA. CHECK THE APPROPRIATE BOX TO INDICATE THAT THE CONTENT REVIEW HAS BEEN COMPLETED: ;
For courses to be used as requisites or advisories, compare the knowledge and/or skills needed at entry with those taught in the requisite, concurrent, or advisory course.
A.
LIST THE SPECIFIC SKILLS, CONCEPTS AND INFORMATION REQUIRED FOR SUCCESS IN THE COURSE: 1.
Using real numbers.
2.
Solving equations.
CITRUS COMMUNITY COLLEGE DISTRICT MATH 165 Introductory Statistics
B.
NOTE:
3.
Using formulas.
4.
Graphing functions.
5.
Using scientific calculations.
6.
Interpreting application problems.
REQUISITE APPROVAL Page 2
LIST THE SPECIFIC SKILLS, CONCEPTS AND INFORMATION THE STUDENT WILL ATTAIN IN THE REQUISITE COURSE OR THAT WILL BE MEASURED WITH THE REQUISITE TEST: 1.
Using real numbers.
2.
Solving equations.
3.
Using formulas.
4.
Graphing functions.
5.
Using scientific calculations.
6.
Interpreting application problems.
Per District policy and procedures the completed and approved Requisite Approval form is considered to be part of the official course outline of record.
