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MAT 255 Statistics I

This course covers the basic concepts of data organization, measures of central tendency, variability probability and probability distributions, sampling and sampling distributions, estimation dealing with population means and proportions of large and small samples, and hypothesis testing. Topics include techniques of applied problem solving.

Credits

3

Prerequisite

Prerequisite: SSC 100 or concurrent

See Course Syllabus

Course Number and Title:

MAT 255 Statistics I

Campus Location

  • Dover
  • Georgetown
  • Stanton
  • Wilmington

Prerequisites

Prerequisite: SSC 100 or concurrent

Course Credits and Hours

3 credit(s)

3 lecture hours/week

1 lab hours/week

Course Description

This course covers the basic concepts of data organization, measures of central tendency, variability probability and probability distributions, sampling and sampling distributions, estimation dealing with population means and proportions of large and small samples, and hypothesis testing. Topics include techniques of applied problem solving.

Additional Materials

Graphing Calculator: TI 83 or TI 84

Required Text(s)

Obtain current textbook information by viewing the campus bookstore - https://www.dtcc.edu/bookstores online or visit a campus bookstore. Check your course schedule for the course number and section.

Disclaimer

Proctored testing is required for all tests, regardless of the course format. Online students may use any DTCC Testing Center at no additional charge. Additional fees may apply for virtual proctoring or testing at another location.

Core Course Performance Objectives (CCPOs)

  1. Construct, analyze, and interpret pictorial and tabular representations of data. (CCC 2, 6)
  2. Analyze and interpret numerical data. (CCC 2, 6)
  3. Compute probabilities. (CCC 2, 6)
  4. Solve problems involving probability distributions. (CCC 2, 6)
  5. Apply sampling distribution principles to solve statistical problems. (CCC 2, 6)
  6. Construct point and interval estimates of the mean and proportion. (CCC 2, 6)
  7. Perform hypothesis testing of the mean and proportion. (CCC 2, 6)
  8. Use linear regression to analyze the relationship between two variables. (CCC 2, 6)

See Core Curriculum Competencies and Program Graduate Competencies at the end of the syllabus. CCPOs are linked to every competency they develop.

Measurable Performance Objectives (MPOs)

Upon completion of this course, the student will:

  1. Construct, analyze, and interpret pictorial and tabular representations of data.
    1. Construct frequency, relative frequency, and cumulative frequency tables.
    2. Construct a histogram, bar chart, frequency polygon, and ogive.
    3. Recognize other graphic representations of data.
  2. Analyze and interpret numerical data.
    1. Calculate and interpret mean, median, and mode.
    2. Compare advantages and disadvantages of mean and median.
    3. Calculate and interpret the range, variance, standard deviation, and coefficient of variation.
    4. Calculate and interpret measures of location.
    5. Construct a box plot.
  3. Compute probabilities.
    1. Calculate unions and intersections of events when they are mutually exclusive, independent, or neither using multiplication and addition rules.
    2. Use Bayes' theorem in the revision of probabilities.
    3. Count using the principle of multiplication, permutation, and combination.
  4. Solve problems involving probability distributions.
    1. Use probability distribution tables or the appropriate computer software to compute theoretical probabilities.
    2. Identify discrete and continuous probability distributions
    3. Compute the mean and variance of discrete probability distribution.
    4. Calculate binomial probabilities.
    5. Calculate Poisson probabilities.
    6. Calculate uniform probabilities.
    7. Calculate normal probabilities.
    8. Apply approximations to distributions.
  5. Apply sampling distribution principles to solve statistical problems.
    1. State reasons for sampling.
    2. Identify random and non-random sampling techniques.
    3. Calculate errors that occur in sampling.
    4. Determine the mean and standard error of the sampling distribution of the mean.
    5. Apply the central limit theorem to solve application problems.
  6. Construct point and interval estimates of the mean and proportion.
    1. Calculate a point estimate for a population mean or a population proportion.
    2. Calculate the confidence interval limits for a mean and a proportion.
    3. Calculate the sample size necessary to estimate a mean or a proportion.
  7. Perform hypothesis testing of the mean and proportion.
    1. Test hypothesis of the mean from large samples.
    2. Test hypothesis of the mean from small samples.
    3. Test hypothesis of a proportion.
    4. Define Type I and Type II errors in a test of hypothesis.
  8. Use linear regression to analyze the relationship between two variables.
    1. Construct the scatter plot for two variables.
    2. Calculate the equation for the regression line using appropriate technology.
    3. Use hypothesis testing to predict the best value of an independent variable.

Evaluation Criteria/Policies

The grade will be determined using the Delaware Tech grading system:

90-100 = A
80-89 = B
70-79 = C
0-69 = F
Students should refer to the Catalog/Student Handbook for information on the Academic Standing Policy, the Academic Integrity Policy, Student Rights and Responsibilities, and other policies relevant to their academic progress.

Final Course Grade

Calculated using the following weighted average

Evaluation Measure

Percentage of Final Grade

Tests (summative) (equally weighted)

60%

Projects (summative) (equally weighted)

20%

Homework (formative)

10%

Formative Assessments

10%

TOTAL

100%

Core Curriculum Competencies (CCCs are the competencies every graduate will develop)

  1. Apply clear and effective communication skills.
  2. Use critical thinking to solve problems.
  3. Collaborate to achieve a common goal.
  4. Demonstrate professional and ethical conduct.
  5. Use information literacy for effective vocational and/or academic research.
  6. Apply quantitative reasoning and/or scientific inquiry to solve practical problems.

Students in Need of Accommodations Due to a Disability

We value all individuals and provide an inclusive environment that fosters equity and student success. The College is committed to providing reasonable accommodations for students with disabilities. Students are encouraged to schedule an appointment with the campus Disabilities Support Counselor to request an accommodation needed due to a disability. The College's policy on accommodations for persons with disabilities can be found in the College's Guide to Requesting Academic Accommodations and/or Auxiliary Aids Students may also access the Guide and contact information for Disabilities Support Counselors through the Student Resources web page under Disabilities Support Services, or visit the campus Advising Center.

Minimum Technology Requirements

Minimum technology requirements for online, hybrid, video conferencing and web conferencing courses.

Academic Integrity

https://dtcc.smartcatalogiq.com/Current/Catalog/Academics/Academic-Integrity

Attendance

https://dtcc.smartcatalogiq.com/Current/Catalog/Search?q=attendance

Cell phone/Electronic Device

https://dtcc.smartcatalogiq.com/Current/Catalog/Student-Policy/Cell-Phone-and-Electronic-Device-Policy

Tuition Adjustment Policy

https://dtcc.smartcatalogiq.com/Current/Catalog/Financial/Tuition-Fee-Adjustment-Policy-Course-or-Semester-Withdrawal