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COURSE OUTLINE : STAT 050 Last Revised and Approved: 11/08/2012 CURRICULUM Subject Code and Course Number: Division : STAT 050 Mathematics Course Title : ELEMENTARY STATISTICS Summarize the need/purpose/reason for this proposal We are creating a new math sequence for non-STEM majors that is designed to serve as a prerequisite for Stat 50. This proposal serves to identify the last course of the new sequence Math 150 as a prerequisite for Stat 50. SLOs (Student Learning Outcomes) 1. Organize, describe, analyze, and interpret data through the use of statistical methods and research. 2. Use statistical results to draw sound conclusions and make informed decisions. 3. Apply the rules of probability and combinatorics to solve problems and interpret their results. SPOs (Student Performance Objectives) 1. Prepare frequency distribution, histograms and ogives from statistical information given in raw data (tallied) form. 2. Calculate (with a calculator), interpret and explain measures of dispersion and of central tendency. 3. Use the concepts of bivariate data to calculate linear correlation coefficient and interpret the significance of this coefficient using tables. 4. Perform a linear correlation and linear regression on bivariate data. 5. Use the rules of probability to calculate probabilities of outcomes to simple experiments involving complement, union, intersection, mutually exclusive events, independence and conditional probability. 6. Use the concept of random variables to prepare a probability distribution for a discrete random variable, and use the binomial distribution to solve problems in probability, and use the normal approximation to the binomial distribution. 7. Use the normal distribution to solve problems in sampling theory, applying the central limit theorem as needed. 8. Perform hypothesis tests, confidence interval calculations and calculations of sample size for inferences about population means, proportions and variances. 9. Perform multinomial experiments using goodness-of-fit. 10. Analyze contingency tables for independence and homogeneity. PASADENA CITY COLLEGE --FOR COMPLETE OUTLINE OF RECORD SEE PCC WEBCMS DATABASE-Page 1 of 9 COURSE OUTLINE : STAT 050 Last Revised and Approved: 11/08/2012 11. Perform calculations on one-way analysis of variance. 1. Calculate (with a calculator), interpret and explain measures of dispersion and of central tendency. 2. Use the concepts of bivariate data to calculate linear correlation coefficient and interpret the significance of this coefficient using tables. 3. Perform a linear correlation and linear regression on bivariate data. 4. Use the normal distribution to solve problems in sampling theory, applying the central limit theorem as needed. 5. Perform hypothesis tests, confidence interval calculations and calculations of sample size for inferences about population means, proportions and variances. 6. Perform multinomial experiments using goodness-of-fit. 7. Analyze contingency tables for independence and homogeneity. 8. Perform calculations on one-way analysis of variance. 1. Use the rules of probability to calculate probabilities of outcomes to simple experiments involving complement, union, intersection, mutually exclusive events, independence and conditional probability. 2. Use the concept of random variables to prepare a probability distribution for a discrete random variable, and use the binomial distribution to solve problems in probability, and use the normalapproximation to the binomial distribution. CCOs (Course Content Outline) Learn Organization of Data: Forming frequency distributions. Presentation of Data: Tabular, graphical - bar graph, frequency polygon line graph. Use Summation Notation. Analysis of Data - With or Without Frequency Distribution: Measures of central tendency, mean, median, mode; measures of dispersion, range, mean deviation, standard deviation. PASADENA CITY COLLEGE --FOR COMPLETE OUTLINE OF RECORD SEE PCC WEBCMS DATABASE-Page 2 of 9 COURSE OUTLINE : STAT 050 Last Revised and Approved: 11/08/2012 Elementary Probability: Definition - discrete vs. continuous probability distributions; elementary laws; conditional probability. Binomial Distribution: Mean, standard deviation; theoretical frequency distribution. Normal Distribution: As an approximation to the binomial distribution; as the limit of a frequency distribution of a continuous variable; use of tables of area under the normal probability curve. Random Sampling (Large Samples): Distribution of sample mean: distribution of the difference between two-sample means. Hypothesis-Testing (Large Samples): One and two-tailed tests; confidence limits. Small Sample Methods: Students t-distribution; distribution of the difference between the means. Non-Parametric Statistics: Chi-Square, rare order correlation Inference from two samples - two proportions, two means - independent samples, inferences from matched pairs, comparing variation in two samples. Linear correlation, linear regression. Multinomial experiments and contingency tables Analysis of variance Methods of Instruction Lecture, group instruction/discussion, projects Methods of Evaluation of Student Performance Written homework, quizzes, tests, projects Assignments 1. An educator estimates that the dropout rate for seniors at high schools in Ohio is 15%. Last year, 38 seniors from a random sample of 200 Ohio seniors withdrew. At 0.05 significance level, is there enough evidence to reject the educator's claim? 2. Find the probability of getting 3 tails when a fair coin is tossed 10 times. TECHNICAL DETAILS Catalog Description (Mathematics Division) Analysis of data relative to social and natural processes. Collecting, grouping and presenting numerical data by means of: frequency distributions, measures of central tendency and deviation, probability and PASADENA CITY COLLEGE --FOR COMPLETE OUTLINE OF RECORD SEE PCC WEBCMS DATABASE-Page 3 of 9 COURSE OUTLINE : STAT 050 Last Revised and Approved: 11/08/2012 sampling, measures of prediction and correlation, linear regression, hypothesis testing, including analysis of variance. No credit if taken after Stat 015 or 018. Total of 90 hours lecture. Transfer Credit: CSU; UC credit limitations. See counselor. *C-ID: SOCI 125 Prerequisite(s) Math 131 or 133B or 134B or 141 or 150 or placement based on the Math assessment process. Corequisite(s) Recommended Preparation Enrollment Limitations Instructional Activities associated with TBA Units : 4.0 CREDIT COURSE OUTLINE Credit Type : Maximum Course Units : Minimum Course Units: Computed Total Carnegie Units : Course Unit Totals in Agreement? : No Course Units Carnegie Compliant by Type and Mode? : Yes Course Units Carnegie Compliant in Total?: Yes Total Course Hours by Type and Mode PASADENA CITY COLLEGE --FOR COMPLETE OUTLINE OF RECORD SEE PCC WEBCMS DATABASE-Page 4 of 9 COURSE OUTLINE : STAT 050 Last Revised and Approved: 11/08/2012 COURSE HOURS LECTURE LAB ACTIVITY Scheduled Class Meetings TBA Hours, Determinate Schedule *Other Arranged Hours, Variable Schedule (*Student is required to meet the same number of arranged hours each day or each week) Override Computed Course Units if Necessary COURSE HOURS LECTURE LAB ACTIVITY Scheduled Class Meetings TBA Hours, Determinate Schedule *Other Arranged Hours, Variable Schedule Projected Student Registration and Attendance COURSE ATTENDANCE Registration Capacity Projected Census Enrollment [Total] Projected Census Enrollment [Resident] Projected Census Enrollment [NonResident] Projected PA Hours [Total] Projected PA Hours [Resident] Projected PA Hours [NonResident] COURSE VALUES (TOTAL) Scheduled Class Hours LEC LAB ACTV Regular TBA Hours LEC LAB ACTV Variable Arranged Hours LEC LAB Course Hours Course Units PASADENA CITY COLLEGE --FOR COMPLETE OUTLINE OF RECORD SEE PCC WEBCMS DATABASE-Page 5 of 9 ACTV TOTALS COURSE OUTLINE : STAT 050 Last Revised and Approved: 11/08/2012 Load Factor LHE FTEF STUDENT AND FACULTY WORKLOADS (WEEKLY, FULL-TERM) Scheduled Class Hours STUDENTS LEC LAB ACTV Regular TBA Hours LEC LAB ACTV Variable Arranged Hours LEC LAB ACTV TOTALS Instructional Hours Study Hours Total FACULTY Instructional Hours Preparatory Hours Total Repeatability : Not Repeatable The repeatable restrictions apply for Credit Courses do not apply to Non-Credit Courses. Only Non-Credit Courses can be repeated on unlimited number of times. Reason for Repeatability: Courses for which repetition is necessary to meet major requirements of CSU or UC for completion of a bachelor's degree. Intercollegiate academic or vocational competition Intercollegiate Athletics Methods of Delivery Face-to-Face On-Line – Primarily taught via Internet Hybrid – Blend of On-Campus and On-Line ITV – Instructional T.V. Maximum Class Size (NCN) 35 Minimum Qualifications (Discipline) MATHEMATICS PASADENA CITY COLLEGE --FOR COMPLETE OUTLINE OF RECORD SEE PCC WEBCMS DATABASE-Page 6 of 9 COURSE OUTLINE : STAT 050 Last Revised and Approved: 11/08/2012 Semester of First Offering Summer Grading Option B - Course for grade or pass/no pass COURSE APPLICABILITY, TRANSFER AND ARTICULATION Course Credit Status: State Transfer Code: State Classification Code: Basic Skills Status/Level: Aligns with C-ID Decriptor Purpose of Course UC Transferable IGETC Area: Specify Area Gen Ed. Local AA degree: Please specify AA/AS Diversity Requirement in: Global Studies Ethnic & Gender Studies Other: Please specify CareerTech Certificate: Indicate name of Certificate(s) REPRESENTATIVE TEXTBOOKS OR OTHER MATERIALS Book 1 Book 2 Author : Triola Title : Elementary Statistics Publisher: Pearson Date of Publication: 2009 Edition: 11th Author : Bluman Title : Elementary Statisics Publisher: McGraw Hill Date of Publication: 2008 Edition: 7th PASADENA CITY COLLEGE --FOR COMPLETE OUTLINE OF RECORD SEE PCC WEBCMS DATABASE-Page 7 of 9 COURSE OUTLINE : STAT 050 Last Revised and Approved: 11/08/2012 Other materials and/or supplies required of students: RESOURCES & DEPARTMENT PLANNING Additional Resources Needed: None Facilities Needed to Teach this Course: None Equipment Needed to Teach this Course: None PROGRAM APPLICABILITY Program Information Program Category In an approved program. General Education Part of a new program. Career and Technical Education Program Not part of an approved program. Noncredit Program Instructional Methods Lecture Lab Lecture & Lab Distance Ed / Online Course Work Experience Independent Study TBA TOP Code Information Program title - TOP Code: 170100 Mathematics, General PASADENA CITY COLLEGE --FOR COMPLETE OUTLINE OF RECORD SEE PCC WEBCMS DATABASE-Page 8 of 9 COURSE OUTLINE : STAT 050 Last Revised and Approved: 11/08/2012 SAM Code A - Apprenticeship course (Courses offered to apprentices only.) B - Advanced occupational (Courses taken in the advanced stages of an occupational program. Each “B” level course must have a “C” level prerequisite in the same program area.) C - Clearly occupational (Courses taken in the middle stages of an occupational program. Should provide the student with entry-level job skills.) D - Possibly occupational (Courses taken in the beginning stages of an occupational program.) E Non-occupational NON CREDIT ONLY Funding Category A English as a Second Language B Immigrant Education C Elementary & Secondary Education D Health & Safety Education E Education Programs for Persons with Substantial Disabilities F Parenting Education G Family & Consumer Sciences H Education Programs for Older Adults I Short-term Vocational Programs With High Employment Potential J Workforce Preparation Enhanced Funding K Other Non-Credit Enhanced Funding L Non-enhanced Funding PASADENA CITY COLLEGE --FOR COMPLETE OUTLINE OF RECORD SEE PCC WEBCMS DATABASE-Page 9 of 9