MTH 120: Introduction to Statistics

Enrollment Message:

Terms of Use (More Info in Syllabi): Dual enrollment (DE) courses follow St. Clair County Community College (SC4)’s calendar. You consent to pay the SC4 in-district tuition/fees. Michigan Virtual will invoice eligible charges following enrollment/withdrawal date. Students or enrolling schools must buy required text/materials listed in syllabi. SC4 accepts SAT scores for DE eligibility. If student hasn’t taken the SAT, then SC4 will evaluate the student’s H.S. transcript. Upload files to Michigan Virtual’s Student Learning Portal (SLP). DE courses are limited to students attending public/private schools in Michigan. Nonresident or homeschooled students are not eligible. Students must complete the webform in their registration email. SC4 will contact the student directly with acceptance by mail and info on accessing the portal, college email, and online course content. SC4 will transmit scores electronically or by mail via Michigan Virtual. DE scores will not appear in the SLP.

Course Number: MTH 120

Credit Hours: 4

Contact Hours: 4 (Lecture); 0 (Lab); 0 (Other)

COURSE RATIONALE: Statistics plays an important role in almost every aspect of society; statistics and data analysis provide methods that can help in the understanding of nearly every field of human experience. There are wide-ranging applications of statistics and one or more statistics courses are required for students majoring in many different professions and occupational areas.

CATALOG DESCRIPTION: MTH 120: Introduction to Statistics. Topics include: the uses and abuses of data, organization and presentation of data, measures of central tendency and dispersion, probability, types of distributions (Binomial, Poisson, and normal), sampling and sampling distributions, testing hypotheses, estimation, regression and correlation. This is a beginning course in statistics that will be beneficial to students majoring in any field in which measurements and predictions are made.

Prerequisites:  MTH 110 or MTH 112 or appropriate placement by college assessment score

Course Objectives/Outcomes: Upon completion of this course, students will be able to...

  1. explain the abuses of statistics.
  2. use various methods to present data.
  3. calculate various measures of central tendency and dispersion.
  4. apply basic concepts and rules of probability.
  5. use various probability distributions, including binomial, Poisson, and normal.
  6. estimate population means.
  7. test hypotheses.
  8. work with basic concepts of correlation and regression.
  9. use spreadsheet software to compute and present data.

Course Outline:

Introduction to Statistics

  • Uses and abuses of statistics
  • Introduction to Excel

Describing, Exploring, and Comparing Data

  • Summarizing data with frequency tables
  • Pictures of data
  • Measures of center
  • Measures of variation
  • Measures of relative standing

Probability

  • Fundamentals
  • Addition rule
  • Multiplication rule: basics
  • Multiplication rule: complements and conditional probability

Probability Distributions

  • Random variables
  • Binomial probability distributions
  • Mean, variance, and standard deviation for the binomial distribution
  • The Poisson distribution

Normal Probability Distributions

  • The standard normal distribution
  • Normal distributions: finding probabilities
  • Normal distributions: finding values
  • The central limit theorem
  • Normal distribution as approximation to binomial distribution
  • Determining normality

Estimates and Sample Sizes

  • Estimating a population mean: large samples
  • Estimating a population mean: small samples
  • Determining sample size required to estimate ??
  • Estimating a population variance

Hypothesis Testing

  • Fundamentals of hypothesis testing
  • Testing a claim about a mean: large samples

Correlation and Regression

  • Correlation
  • Regression

Resources Included: Upon confirmation of the student's course registration, SC4 will mail an acceptance letter to each student's home address. This letter will contain additional information about login access to the SC4 Portal and establishing a college email account. Students will receive login information to the Canvas learning management system (LMS) via their college email account. The email will provide login procedures necessary to access the online course(s) for which a student is enrolled.

Additional Costs: Required Textbook / Materials: [1] Triola, M. F. (2018). Elementary Statistics Mystatlab With Pearson Etext Standalone Access Card (13th ed.). Boston, MA: Pearson. ISBN-13: 9780134748535 ISBN-10: 0134748530. Estimated Cost: $108-$127. AND

[2] Graphing Calculator (TI-83 or TI-84 Recommended); no CAS calculators allowed. Estimated Cost: $132-$150.

SC4 Bookstore: (810) 989-5725 https://www.bkstr.com/stclaircountyccstore/home

Students are responsible for all tuition, books/supplies, and fees the school or school district does not pay; this includes the non-refundable student fee for dropped courses. A high school may hold the student responsible for reimbursement of tuition and fees should the student fail a course(s) for which the school district paid.

Scoring System: Michigan Virtual does not assign letter grades, grant credit for courses, nor issue diplomas. Michigan Virtual will transmit the final letter grade awarded by SC4 for each dual enrollment course completed to the student and his/her enrolling school.

Time Commitment: Dual enrollment semester sessions are 12-weeks long: Students must be able to spend 1.5 or more hours per day in the course to be successful.

Technology Requirements: Students will require a computer device with headphones, a microphone, webcam, up-to-date Chrome Web Browser, and access to all web resources linked within the online course content provided by the SC4 Canvas learning management system.

Instructor Support System: For technical issues within your course, contact your SC4 instructor or the college at 810-984-3881.

Instructor Contact Expectations: Students can use their college email or other means provided by their instructor within the course syllabus or within their learning management system once the term has begun when they need instructor assistance. The instructor may describe additional communication options.

Academic Support Available: Disability Services - Support services are available to students at SC4 upon request. For information regarding services provided by St. Clair County Community College, contact the Achievement Center at (810) 989-5759. Students must self-identify their need for assistance.

Required Assessment: Online assessments consist of formative and summative assessments represented by computer-graded multiple choice, instructor-graded writing assignments including hands-on projects, model building and other forms of authentic assessments.

Technical Skills Needed: No special skills are required beyond being able to operate a computer and use word processing software.

Additional Information: [1] Dual enrollment courses follow unique start, end and last day to withdraw dates for St. Clair County Community College (SC4)’s academic calendar for courses [https://michiganvirtual.org/dualenrollmentdates].

[2] You are consenting to pay the SC4 in-district tuition and fees for the course(s) selected [https://sc4.edu/admissions/tuition-and-fees/]. Michigan Virtual will send an invoice for eligible charges following the enrollment/withdrawal date of each term. Students or their enrolling schools are responsible to purchase the required textbook and materials listed in the syllabus.

[3] SC4 accepts the SAT as qualifying scores for dual enrollment eligibility. If a student has not taken the SAT, then SC4 will evaluate the student’s high school transcript to determine college readiness. Upload the student’s SAT report and/or high school transcript to Michigan Virtual’s Student Learning Portal (SLP) [https://michiganvirtual.org/about/support/knowledge-base/slp-add-sat-and-transcript-files-to-student-account/].

[4] Dual enrollment courses are limited to students attending public or private schools in the State of Michigan. Nonresident or homeschooled students are not eligible to dual enroll.

[5] SC4 will transmit a student’s scores electronically or by mail via Michigan Virtual. Dual enrollment scores will not appear in the SLP.

[6] Students must complete the online webform linked in their registration email before the enrollment will be confirmed.

[7] SC4 will contact the student directly with an acceptance letter and information on accessing the SC4 Portal, a college email account, and the online course content.

Details


School Level: Postsecondary
Standards: None
NCAA Approved: Yes
Alignment Document: Document
Course Location:
NCES Code: 02201
MDE Endorsement Code:
MMC Minimum Requirements: Math - 4th Year Elective

When Offered: _Internal Use Only

Content Provider: SC4
Instructor Provider: SC4

Course Type: DUAL4